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00133 Massimo Fragiacomo - Timber Design Society

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SEISMIC ANALYSIS OF A LIGHT-FRAME TIMBER BUILDING<br />

WITH AND WITHOUT FRICTION PENDULUM BASE<br />

ISOLATION<br />

<strong>Massimo</strong> <strong>Fragiacomo</strong> 1 , Claudio Amadio 2 , Ljuba Sancin 3 , Giovanni Rinaldin 4<br />

ABSTRACT: Light-frame construction is used extensively in the European, American and Australasian market for low<br />

and medium rise timber buildings. These buildings are light-weight and have a high dissipative capacity, and thus a<br />

high behaviour factor can be used in seismic design. On the other hand the use of a high behaviour factor may imply<br />

significant structural and non-structural damage at the end of a high intensity earthquake, leading to potentially<br />

significant economic losses. Passive base isolation is by far the most effective way to reduce the effect of an earthquake<br />

on a structure. In this paper, the use of passive base isolation is investigated for light-frame multi-storey timber<br />

buildings. Two designs of a three-storey light-frame building were carried out according to Eurocode 5 and the Italian<br />

regulation for construction: one with and the other without Friction Pendulum System isolators. The seismic<br />

performance and cost of both solutions are compared, demonstrating the convenience of using passive base isolation.<br />

KEYWORDS: Light-frame structure, cyclic modelling, seismic isolation, timber building<br />

1 INTRODUCTION 123<br />

According to the modern philosophy of the Damage<br />

Avoidance <strong>Design</strong> [1], a structure should be designed<br />

not only to survive a high intensity earthquake but also<br />

to minimize the structural and non-structural damage.<br />

Notoriously, passive base isolation is by far the most<br />

effective way to reduce the consequences of an<br />

earthquake on an existing or new structure [2] [3] [4]. Its<br />

use has been somewhat limited by the cost, which is<br />

often believed to be high. However, significant progress<br />

has been made in this decade on passive base isolation,<br />

and nowadays the cost does not seem to be an issue<br />

anymore. For these reasons, passive base isolation<br />

system was recently used also for residential<br />

applications, for example in L’Aquila (Italy) where both<br />

1 <strong>Massimo</strong> <strong>Fragiacomo</strong>, Associate Professor, Department of<br />

Architecture, <strong>Design</strong> and Urban Planning, University of<br />

Sassari, Palazzo del Pou Salit, Piazza Duomo 6, 07041-<br />

Alghero, Italy. E-mail: fragiacomo@uniss.it<br />

2 Claudio Amadio, Associate Professor, Department of Civil<br />

Engineering and Architecture, University of Trieste, Piazzale<br />

Europa, 1, 34127 Trieste, Italy. E-mail: amadio@units.it<br />

3 Ljuba Sancin, Former graduate student, Department of Civil<br />

Engineering and Architecture University of Trieste, Piazzale<br />

Europa, 1, 34127 Trieste, Italy . E-mail:<br />

ljuba.sancin@gmail.com<br />

4 Giovanni Rinaldin, PhD student, Department of Civil<br />

Engineering and Architecture University of Trieste, Piazzale<br />

Europa, 1, 34127 Trieste, Italy . E-mail:<br />

giovanni.rinaldin@phd.units.it<br />

reinforced concrete and timber buildings were isolated.<br />

Simple design procedures have been proposed for<br />

passive base isolation systems [5], and extensive design<br />

provisions are available in codes of practice such as the<br />

Eurocode 8 [6]. The effectiveness of passive base<br />

isolation was demonstrated by the earthquakes occurred<br />

in Los Angeles in 1994 and in Kobe in 1995, where a<br />

dramatically different performance was observed in<br />

isolated compared to non-isolated buildings. It is<br />

therefore of interest to investigate this option also for<br />

timber buildings, where the significantly reduced weight<br />

compared to reinforced concrete allows the use of<br />

smaller and, therefore, potentially cheaper base devices.<br />

The paper explores the use of passive base isolation with<br />

Friction Pendulum System (FPS) devices for light-frame<br />

multi-storey timber buildings. Two designs of a threestorey<br />

light-frame building were carried out according to<br />

Eurocode 5 [7] and the Italian regulation for construction<br />

[8]: one with and the other without isolators. The seismic<br />

performance and cost of both solutions are compared,<br />

demonstrating the advantage of passive base isolation.<br />

2 DUCTILITY IN LIGHT-FRAME<br />

TIMBER STRUCTURES<br />

Light-frame timber structures are composed by plywood<br />

or other types of sheathing nailed on light timber frames.<br />

It is well-known that the dissipative behaviour of a lightframe<br />

timber structure is mainly governed by the panelto-frame<br />

connection in the first loading cycles. The


collapse can occur for localized splitting of the wood<br />

(brittle) or for connection failure (ductile).<br />

2.1 OVERSTRENGTH OF THE CONNECTION<br />

In the design of a light-frame building, the wood<br />

elements cannot be considered as ductile. For this<br />

reason, Capacity Based <strong>Design</strong> is applied to make sure<br />

that the expected ductility in the connection will be<br />

attained before brittle failures of the wood members<br />

occur [9]. The strength capacity of the ductile element<br />

must be smaller than the strength capacity of the brittle<br />

element. In this regard it is particularly important to<br />

evaluate the overstrength of the connection for the<br />

correct design of the connected wood elements. It should<br />

be pointed out that the characteristic and not the design<br />

value of the strength (namely, a material partial factor<br />

γ<br />

M<br />

1) should be used in ductile design of connections,<br />

as prescribed by the Eurocode 8 [6] and by the New<br />

Zealand <strong>Timber</strong> Standard [10]. The use of the design<br />

values would lead to overdesign the connections and that<br />

could postpone if not prevent at all the plasticization<br />

under the design seismic actions, in this way achieving<br />

no energy dissipation.<br />

2.2 CAPACITY BASED DESIGN CRITERIA<br />

According to a correct design approach in light-frame<br />

timber buildings the only dissipative elements are the<br />

panel-to-frame nailed connections of the shear walls [11]<br />

[12]. All other connections (hold-downs, tie-downs,<br />

angular brackets), all timber members (studs, plates,<br />

sheathing, joists), and the panel-to-joist connections of<br />

the floor diaphragms have to remain elastic and be<br />

designed for the overstrength of the dissipative elements.<br />

Concerning the choice of the ductile collapse<br />

mechanism, little information is provided in the current<br />

Italian [8] and European [6] regulations. A literature<br />

reference [12] suggests that plasticization should be<br />

allowed only at the first floor or at the first and second<br />

floor for buildings up to 4 or from 4 to 6 storeys high,<br />

respectively, whereas all other floors should be designed<br />

for the overstrength of the first floors. In this paper a<br />

similar approach was followed in the design of the 3-<br />

storey case study building. All timber elements and all<br />

nailed panel-to-joist connections were designed for the<br />

overstrength of the panel-to-frame connections of the<br />

shear walls at the first floor. In particular, the nailed<br />

panel-to-frame connections of the shear walls were<br />

calculated at the first floor, where the seismic strength<br />

demand is larger, and reproduced at the upper floors,<br />

where the seismic forces decrease, in order to ensure<br />

plasticization only occurs at the first floor. The brittle<br />

elements including the panel-to-joist floor connections<br />

were therefore designed to resist the forces described in<br />

Equation (1):<br />

R<br />

d, wood<br />

Sd,<br />

wood<br />

<br />

Rd<br />

(1)<br />

where<br />

R ,<br />

is the design strength capacity of the timber<br />

d wood<br />

element;<br />

S<br />

d , wood<br />

is the seismic strength demand of the timber<br />

element;<br />

<br />

Rd<br />

is the overstrength factor: <br />

Rd<br />

1. 3 according to the<br />

Italian regulation;<br />

S is the overdesign factor of<br />

R<br />

d , connection d , connection<br />

the dissipative connection (at the first floor).<br />

3 CASE STUDY BUILDING<br />

3.1 STRUCTURAL DESCRIPTION<br />

The analysed structure is a three-story light-frame timber<br />

building with two symmetric modules, as can be seen in<br />

Figure 1, connected to each other just at the foundation<br />

and at the top level.<br />

Figure 1: Plan view of the building. The results of the<br />

analysis for the circled wall are displayed in Figure 12<br />

and Figure 13 (dimensions in cm)<br />

The building is regular and is designed as strategic being<br />

assumed as headquarter of the fire brigade. It is situated<br />

in L’Aquila (Italy), 700 m above sea level, in a suburban<br />

zone. Figure 2 displays a cross-section of the building.<br />

Figure 2: Cross-section of the 3-storey light-frame<br />

building (dimensions in cm)<br />

The vertical load-bearing structure is made from lightframe<br />

shear walls with double OSB sheathing (both<br />

sides) nailed on the timber frame. The studs are spaced<br />

60 cm or less and the walls are reinforced with additional<br />

studs where concentrated forces are applied. In the larger


openings, the top plate is integrated with a lintel. The<br />

shear walls are connected to the reinforced concrete<br />

ribbed slab with hold-downs and angle brackets, and to<br />

the upper wall with tie-downs and angle brackets. The<br />

structural flooring is made of two 15 mm thick OSB<br />

sheathings nailed on top and bottom of joists and<br />

blockings. The roof is double pitched, ventilated and<br />

covered with tiles. Walls and floor diaphragms ensure a<br />

box behaviour that can easily carry wind load and<br />

earthquake action. The floor diaphragms and the roof are<br />

regarded as in-plane rigid as recommended by codes of<br />

practice [6] [10] and literature references [12] for timber<br />

floors with sheathings nailed on joists and solid<br />

blockings without significant opening. The light-frame<br />

shear walls provide the lateral load resisting system –<br />

each wall resists the lateral load in the direction parallel<br />

to its plane.<br />

3.2 DESIGN DATA<br />

The main design data of the building are, according to<br />

the Italian regulation [8]:<br />

Permanent load on floors: G k =1.85 kN/m 2<br />

Permanent load on roof: G k =1.60 kN/m 2<br />

Imposed load on floors: Q k =3 kN/m 2 (offices)<br />

Snow load at the ground: q s = 1.27 kN/m 2<br />

Total drag load on windward and leeward<br />

facades: q w =1.18 kN/m 2<br />

Reference service life V r : 100 years (which<br />

affects the design peak ground acceleration)<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

Site coordinates: 13.3944 E; 43.3660 N<br />

Ground type: B (Deposits of very dense sand,<br />

gravel or very stiff clay, at least several tens of<br />

metres in thickness, characterised by a gradual<br />

increase of mechanical properties with depth)<br />

Peak ground acceleration for CLS (Collapse<br />

Limit State) seismic design: a g = 0.418 g, g<br />

signifying the gravity acceleration<br />

Peak ground acceleration for LLS (Life-safety<br />

Limit State) seismic design: a g =0.331 g<br />

Peak ground acceleration for DLS (Damage<br />

Limit State) seismic design: a g =0.142 g<br />

Peak ground acceleration for OLS (Operational<br />

Limit State) seismic design: a g =0.113 g<br />

Behaviour factor q: q = 4 (Building A – non<br />

isolated); q = 1.5 (Building B – isolated)<br />

The load combination F for ULS and SLS design of the<br />

building subjected to the seismic actions is written in<br />

Equation (2):<br />

F<br />

<br />

2<br />

E G k<br />

Q k<br />

(2)<br />

where <br />

2<br />

0. 3 for offices and E is the seismic action,<br />

calculated as a combination of the effects of the<br />

earthquake in X and Y directions (±1.00∙ E x ±0.30∙ E y or<br />

±1.00∙ E y ±0.30∙ E x ). E x and E y vary depending on the<br />

limit states, and are calculated proportionally to the<br />

seismic mass M, which is defined in the Italian<br />

regulation [8], as in Equation (3):<br />

M ( G <br />

2<br />

Q g<br />

(3)<br />

k k<br />

)<br />

The accidental eccentricity is taken into account by<br />

multiplying the seismic effect by the factor<br />

1<br />

0.6 x / L e<br />

where x denotes the distance of the shear wall from the<br />

geometric centre of the floor, in the direction<br />

perpendicular to the earthquake direction, and L e<br />

signifies the distance between the two most spaced shear<br />

walls, measured in the same way as x.<br />

According to the Italian regulation [8], strategic<br />

buildings have to satisfy the requirements of four<br />

different limit states: Collapse (CLS), Life safety (LLS),<br />

Damage (DLS) and Operational Limit State (OLS).<br />

Every limit state has its own return period of the seismic<br />

event and thus the value of the design earthquake<br />

decreases going from the CLS to the OLS. In Table 1 the<br />

values of the base shear forces due to wind and<br />

earthquake in the different building directions are<br />

compared.<br />

Table 1: Comparison among base shear forces due to<br />

wind and earthquake<br />

Building<br />

A<br />

Building<br />

B<br />

Wind X<br />

[kN]<br />

Seismic action X<br />

[kN]<br />

ULS<br />

(LLS)<br />

281.8 740.5<br />

DLS 827.3<br />

ULS<br />

(LLS)<br />

281.8 331.4<br />

DLS 96.8<br />

4 SEISMIC ISOLATION<br />

After designing the non-isolated building, the same<br />

building was re-designed with passive base isolation<br />

(Building B). The base floor diaphragm connecting the<br />

two modules of the building and supported by the<br />

isolation devices is made of a ribbed reinforced concrete<br />

slab. The isolation devices are supported by stiff<br />

concrete columns connected to a flat plate foundation. In<br />

this way it is possible to obtain a basement that can be<br />

used as a garage, as typically required by architectural<br />

considerations. At the same time, according to the Italian<br />

regulation [8] the compulsory requirement of ensuring<br />

an easy maintenance and substitution of the isolation<br />

devices can be satisfied.<br />

4.1 FRICTION PENDULUM SYSTEM DEVICES<br />

Friction Pendulum System devices (FPS) have been used<br />

in this paper as base isolators [4]. They are curved<br />

surface sliding isolators which exploit gravity for recentring,<br />

like a pendulum. Dissipation of the input<br />

seismic energy takes place due to the friction on the<br />

main surface. The parameters of their cyclic behaviour<br />

depend on the curvature and on the friction coefficient.<br />

After the activation, the device develops a lateral force<br />

F din that is described in Equation (4) and is given by the<br />

resultant of the dynamic friction force and the restoring<br />

force due to gravity:


F<br />

din<br />

W<br />

u dinW<br />

R<br />

(4)<br />

where:<br />

F din is the lateral force developed by the isolation device<br />

in action;<br />

W is the weight of the timber superstructure and base<br />

floor diaphragm on the device;<br />

is the dynamic friction coefficient;<br />

din<br />

R is the radius of curvature of the isolator concave<br />

surface;<br />

u is the device displacement.<br />

The curvature radius (see Figure 3) is an important<br />

parameter in these devices, as it governs the stiffness and<br />

therefore the natural vibration period of the isolated<br />

structure. The period T of a rigid mass supported by an<br />

isolator FPS can be calculated as in Equation (5) [13]:<br />

T 2<br />

1<br />

1 <br />

g(<br />

<br />

R u<br />

din<br />

d<br />

)<br />

(5)<br />

where g is the gravity acceleration and u d is the design<br />

displacement.<br />

The equivalent lateral stiffness k e of an active FPS<br />

device, relative to the maximum displacement u max , is<br />

inversely proportional to the curvature radius R, as can<br />

be seen in Equation (6) [13]:<br />

k e<br />

1 <br />

W<br />

<br />

<br />

R umax<br />

<br />

(6)<br />

where the symbols have the same meaning as before.<br />

The direct proportion of the device stiffness to the<br />

weight bearing on it is fundamental for avoiding<br />

torsional problems in the seismic response of the<br />

structure. In this way the stiffness centre coincides<br />

automatically with the mass centre.<br />

4.2 DESIGN OF THE ISOLATION DEVICES<br />

The isolated building (Building B) is designed for the<br />

same gravity and wind load as Building A, but the<br />

seismic forces are smaller. Indeed, the isolation system<br />

was designed to obtain a natural vibration period<br />

T 1 =3.46 s, corresponding to the final part of the design<br />

response spectrum, where the accelerations are less<br />

burdensome. As a result of that, the superstructure of<br />

Building B is lighter, with smaller cross-sections and<br />

with less nail connectors compared to Building A.<br />

The design of the isolators is carried out so as to comply<br />

with two performance requirements: (i) the isolator<br />

should work (move) for at least the CLS and LLS design<br />

levels of earthquake ground motion; and (ii) the isolator<br />

should behave like a fixed restraint for the design wind<br />

load at ultimate limit state. The first condition ensures<br />

that the isolators prevent any structural damage,<br />

according to the Damage Avoidance <strong>Design</strong> philosophy.<br />

The second design condition is fundamental for the<br />

living comfort, as the wind occurs quite often and the<br />

waving motion of the isolators may cause seasickness of<br />

the occupants.<br />

Figure 3: Cross-section of the FPS device, with double<br />

curved surface [13]<br />

Moreover, the continuous functioning of the isolators<br />

would lead to a major usury of the devices and reduced<br />

safety level in the case of an earthquake.<br />

The displacement demand of the isolation system was<br />

calculated to be over 300 mm at CLS, so that the chosen<br />

device was a double curved surface FPS, with the<br />

following properties:<br />

Vertical load-carrying capacity: 1000/1800 kN<br />

Radius of the sliding surface: 3715 mm<br />

Dynamic friction coefficient: 0.025<br />

Maximum displacement: 350 mm<br />

Equivalent viscous damping coefficient<br />

(corresponding to the maximum design<br />

displacement): 13.4%<br />

Natural period (corresponding to the maximum<br />

design displacement): 3.44 s<br />

Diameter (without anchorage): 620 mm<br />

Depth (without anchorage): 112 mm<br />

The FPS device is displayed in Figure 3.<br />

Figure 4: Positioning and labelling of the isolators<br />

The positioning of the FPSs is shown in Figure 4. The<br />

maximum distance between the devices is almost 8 m.<br />

The limiting factor in deciding the maximum distance<br />

was the bending resistance of the concrete slab ribs and<br />

not the capacity of the isolation devices, which is much<br />

larger than necessary. The governing design conditions<br />

for the concrete slab ribs were sagging bending caused<br />

by gravity loads and also hogging bending at the<br />

supports due to the need to lift the beams about 1.5 cm<br />

for replacing the isolators at the end of their service life.<br />

5 NUMERICAL ANALYSIS<br />

Some non-linear time-history analyses were performed<br />

with the aim to carry out a more accurate comparison of<br />

the seismic performance of both isolated and nonisolated<br />

buildings. The SAP2000 non-linear finite<br />

element program [14], which is a software package


widely used within the design community, was<br />

employed. Since the seismic performance of the whole<br />

building is markedly affected by the behaviour of the<br />

shear walls, careful consideration was given to the<br />

choice of a proper model which can effectively account<br />

for the most important features of the shear wall<br />

behaviour.<br />

5.1 FE MODELLING OF LIGHT-FRAME SHEAR<br />

WALLS<br />

The behaviour of light-frame timber shear walls is fairly<br />

complex as they are composed by different elements:<br />

timber frame, sheathing and connections (panel-to-frame<br />

nailed connection and anchoring of the wall to the<br />

foundation or to the floor underneath). All these<br />

elements contribute to the total flexibility of the wall,<br />

which affects the distribution of horizontal (seismic and<br />

wind) forces within the building. The need to model an<br />

entire 3-storey building has suggested the opportunity to<br />

use a macro-model where all flexibility components are<br />

lumped together, rather than developing a<br />

computationally demanding schematization where all<br />

flexible elements (for example, each nail of the frame-topanel<br />

connection) are explicitly modelled. The macromodel<br />

is displayed in Figure 5: it is made of uniaxial<br />

elements available in the SAP2000 Library. More<br />

specifically, the two lateral studs (chords) and the top<br />

and bottom plates are modelled with rigid beam elements<br />

pinned to each other. The axial flexibility of the chords,<br />

the shear flexibility of the sheathing, and the shear<br />

flexibility of the nailed panel-to-frame connection are<br />

modelled using two diagonal springs, with linear or<br />

cyclic behaviour (NLLink elements in SAP2000),<br />

depending on the type of analysis (linear or non-linear)<br />

carried out. This macro-model has the advantage of<br />

simplicity and low computational demand, and is<br />

suitable for analyses of entire buildings. However, since<br />

the diagonal springs are fictitious elements, their<br />

mechanical properties need to be calibrated on<br />

experimental and analytical results to ensure the<br />

behaviour of the macro-model is equivalent to that of a<br />

real shear wall.<br />

The elastic axial stiffness K diag , the yielding force F y,diag<br />

and the ultimate displacement u ult,diag of each diagonal<br />

can be calculated from simple geometrical<br />

considerations based on the elastic lateral stiffness<br />

K=V/∆ w , the shear force at yielding V y , and the ultimate<br />

horizontal top displacement ∆ w,ult of the wall,<br />

respectively, with the Equations (7), (8) and (9):<br />

K<br />

1 F<br />

<br />

2 u<br />

1 V<br />

<br />

2 <br />

cos( )<br />

1 1<br />

K <br />

2<br />

cos( )<br />

2 cos (<br />

diag<br />

diag (7)<br />

w, diag<br />

w<br />

)<br />

F<br />

y,<br />

diag<br />

1 Vy<br />

<br />

(8)<br />

2 cos( )<br />

u cos(<br />

)<br />

(9)<br />

ult, diag w,<br />

ult<br />

<br />

where:<br />

F diag is the axial force in one diagonal<br />

u w,diag is the shortening/elongation of the diagonal due to<br />

F diag<br />

V is the lateral force (total shear force) applied on top of<br />

the panel<br />

∆ w is the horizontal top displacement of the wall under<br />

the force V<br />

α is the angle between the plate and the diagonal, as<br />

shown in Figure 5.<br />

The in-plane interstorey deflection of a light-frame shear<br />

wall ∆ w loaded on top can be calculated using the<br />

formulas prescribed by the New Zealand Standard [10]:<br />

∆ w =∆ 4 +∆ 5 +∆ 6 +∆ 7<br />

The four components of flexibility are displayed in<br />

Figure 6.<br />

Figure 6: Deformation components of light-frame timber<br />

shear walls<br />

Figure 5: Deformed configuration of the macro-model of<br />

the shear walls under lateral force applied on the top<br />

5.2 VALIDATION OF THE FE MODELLING<br />

The simplified macro-model was compared with the<br />

analytical formulas and with a more refined FE model<br />

implemented in SAP2000. In this refined model, every<br />

nail was schematized with an elastic spring located in the<br />

actual position with stiffness K ser calculated according to<br />

the EC5 [7] formulas. The OSB panel was modelled with<br />

shell elements and the frame with beam elements. The<br />

top wall displacement due to a 40 kN force applied on<br />

the top of the wall was found to be 0.0073 m using the<br />

refined FE model and 0.0081 m using the macro-model<br />

calibrated on the analytical formulas of Δ 6 , which is the<br />

most important deflection component (the nail slip one).<br />

This comparison demonstrates the accuracy of the<br />

proposed macro-model.


Building A (without isolation) the nodes of the walls<br />

were pinned-connected to the base. In Building B (with<br />

isolation) the cross sections were different and so were<br />

the stiffnesses of the walls.<br />

Figure 7: Calibration of the parameters of the Pivot Cycle<br />

on the experimental results of tests carried out at the<br />

University of Trieste in 2005<br />

Since the FE macro-model was used to model the cyclic<br />

behaviour of a shear wall in time-history analyses, the<br />

“Multilinear plastic - Pivot Cycle” available in the<br />

SAP2000 library was chosen to schematize the hysteretic<br />

behaviour typically observed in light-frame shear walls<br />

(see Figure 7). The few parameters needed to define the<br />

Pivot Cycle, namely the backbone curve and the<br />

variables α 1 , α 2 , β 1 , β 2 for the setting of the unloading<br />

branches, were chosen by calibrating the hysteretic<br />

model on the experimental results of tests carried out at<br />

the University of Trieste in 2005 [15]. Since the cycle is<br />

symmetric, only two parameters were needed: α 1 = α 2 =<br />

4.56 and β 1 = β 2 = 0.2. The yielding force F y was<br />

calculated according to Method A of Eurocode 5 [7], and<br />

the backbone curve was assumed as bi-linear. In Figure 8<br />

it can be seen the cyclic behaviour resulting from the<br />

numerical modelling with Pivot Cycle, compared to the<br />

experimental results.<br />

Figure 9: 3D view of the FE model of the non-isolated<br />

building<br />

The concrete part (ribbed slab and stiff columns) and the<br />

isolating devices were added to the model. The FPS<br />

devices were modelled using a particular non-linear<br />

spring (NLLink) of the SAP2000 library, called “Friction<br />

Isolator”, which was calibrated on the stiffness and<br />

properties of the isolator resulting from the design.<br />

These springs connect the concrete columns to the ribs<br />

of the supporting concrete slab, modelled with elastic<br />

beam elements. The columns are fixed at the base. The<br />

two models are shown in Figure 9 and Figure 10. The 3D<br />

models were used to carry out linear static, modal and<br />

non-linear time-history analyses. The natural vibration<br />

period of the non-isolated building from the modal<br />

analysis was T = 0.67 s.<br />

Figure 8: Comparison between numerical and<br />

experimental cyclic behaviour of a shear wall<br />

5.3 FE MODELLING OF THE BUILDINGS<br />

The two Buildings B and A, with and without base<br />

isolation respectively, were modelled in SAP2000 to<br />

analyze their behaviour under seismic actions. Only the<br />

seismic resistant walls, schematized with the macromodel,<br />

were included in the model. The floor and roof<br />

diaphragms were considered as in-plane rigid. In<br />

Figure 10: 3D view of the FE model of the isolated<br />

building<br />

A time-history analysis was then carried out to compare<br />

the performances of the two buildings. Three<br />

accelerograms generated with the program SIMQKE ver.<br />

4.0 [16], compatible with the response spectrum<br />

calculated according to the Italian regulation for ground


type B and different levels of PGA previously defined,<br />

were used as input for the time-history analyses.<br />

The behaviour of the two buildings was compared in<br />

terms of stresses in the elements and inter-story drifts,<br />

demonstrating the superior performance of the isolated<br />

building. The time history of the interstorey drift in the<br />

isolated and non-isolated buildings resulting from the<br />

dynamic non-linear analysis showed that the maximum<br />

interstorey drift in the isolated building was about eight<br />

times lower than in the non-isolated building. All the<br />

displacement demand is concentrated at the isolation<br />

interface, as can be seen in Figure 11 for the ‘Collapse<br />

limit state”, where it reaches 300 mm. The same figure<br />

demonstrates that the isolator worked (moved) also at<br />

‘Damage Limit State’, providing protection to the<br />

building even for lower intensity earthquake ground<br />

motions.<br />

Figure 11: Displacement in one of the isolating devices<br />

(No. 2) for the CLS and DLS seismic levels<br />

Figure 12 and Figure 13 display the force-displacement<br />

hysteresis loops in a shear wall (see the circled wall in<br />

Figure 1) of the non-isolated building at the 2 nd and<br />

ground floor respectively. The significant interstorey<br />

drift demand causes the plasticization of the shear walls,<br />

especially at the ground floor.<br />

Figure 13: Hysteresis cycles of the shear wall at the<br />

ground floor for ULS seismic action in Building A<br />

On the contrary, all the walls of the isolated building<br />

remain elastic and do not dissipate energy, because the<br />

isolators take the whole input energy.<br />

6 DISCUSSION<br />

By designing separately the isolated (Building B) and<br />

non-isolated structure (Building A) and comparing the<br />

result of the designs, it can be seen that the timber<br />

superstructure of the isolated building can be less strong<br />

and less stiff. The cross-section of the studs in the walls<br />

of the isolated superstructure can be reduced by 33%<br />

(see Table 2). Although this reduction in structural<br />

volume is not dramatic, it still helps cover a part of the<br />

additional cost of the isolation devices. The behaviour of<br />

the two structures, however, is markedly different. In<br />

Building B, the damage is avoided also for strong<br />

seismic events as the timber superstructure is designed<br />

elastically. Since the structural accelerations are very<br />

low, the panic of the occupants and the damage to the<br />

content of the building are prevented. This is a desirable<br />

feature particularly for strategic buildings such as<br />

hospitals, schools, laboratories, etc. where the value of<br />

the content is high, but also for commercial buildings<br />

hosting banks, insurance offices, etc. where the<br />

downtime due to the need of repairing and retrofitting<br />

the building following a strong earthquake ground<br />

motion must be limited as it would lead to significant<br />

economic losses.<br />

Table 2: Comparison between the isolated and nonisolated<br />

structure<br />

Figure 12: Hysteresis cycles of the shear wall at the 2 nd<br />

floor for ULS seismic action in Building A<br />

Cross section of studs<br />

and plates<br />

No. of nails in holddowns<br />

No. of nails in angle<br />

brackets<br />

Nail spacing in panelto-frame<br />

connection<br />

Non-isolated<br />

structure<br />

Isolated<br />

structure<br />

12 cm 16 cm 8 cm 16 cm<br />

45 24<br />

21 15<br />

100 mm 150 mm<br />

Although not explicitly required by current codes of<br />

practice such as the Eurocode, the Italian and New


Zealand regulations, the use of passive base isolation in<br />

residential buildings has notably advantages, both<br />

economical and psychological, as it reduces the<br />

traumatic effects of an earthquake on the occupants, and<br />

avoids injures due to falling pieces and debris.<br />

7 CONCLUSIONS<br />

<strong>Timber</strong> buildings are widely used around the world.<br />

They are a sustainable construction system and, if well<br />

designed and built, they are suitable for using in seismic<br />

prone areas, because of their low mass and great<br />

robustness. These good qualities are the reason why the<br />

wood structures market is growing. As wood structures<br />

are more and more spread out also in countries with high<br />

seismic hazard, as for example Italy, it is very important<br />

to understand their seismic behaviour and design them so<br />

as the damage is limited if not prevented at all. In this<br />

paper the case study of a 3-storey light-frame timber<br />

building was investigated. Light-frame timber<br />

construction system has the highest dissipative capacity,<br />

due to the many nailed connections between plywood or<br />

other type of sheathing and the light timber frames.<br />

According to the Eurocode 8 and the Italian regulation<br />

for construction, a behaviour factor up to 5 can be used<br />

for this kind of buildings. On the other hand the adoption<br />

of such a high value of q in design may imply significant<br />

damage after the seismic event. This paper investigates<br />

the possibility of using passive base isolation for<br />

preventing this damage.<br />

The 3-storey light-frame case study building was first<br />

designed without and then with seismic base isolation. In<br />

particular, Friction Pendulum system devices were used<br />

for isolating the building. By designing the two<br />

buildings, it was possible to compare the two solutions in<br />

terms of forces, accelerations, damage and costs. The<br />

two buildings were modelled using the commercial finite<br />

element programme SAP2000 and then three seismic<br />

analyses were performed: a linear static, a modal and a<br />

non-linear time history analysis. A research was made to<br />

find the most suitable model for the light-frame shearwalls,<br />

as they are the elements that govern the seismic<br />

behaviour of the entire building. The aim was to find a<br />

simple and reliable model for the structural behaviour.<br />

The model of the wall used for the analyses was also<br />

validated against some experimental results and some<br />

more refined numerical modelling. The parameters for<br />

modelling the shear-walls were calculated based on<br />

prescriptions from Eurocode 5 and New Zealand <strong>Timber</strong><br />

Standard.<br />

Both the isolated and the non-isolated buildings were inline<br />

with the seismic requirements of current regulations.<br />

Despite this, during the design earthquake the nonisolated<br />

building undergoes to huge damage, especially<br />

at the ground floor, which is design to dissipate the<br />

seismic energy. Conversely, the isolated structure<br />

remains elastic, as it is designed to remain elastic. The<br />

whole displacement is concentrated in the isolation<br />

devices, which drastically reduce the accelerations in the<br />

superstructure and satisfy the requirements of the<br />

“Damage Avoidance <strong>Design</strong>”.<br />

As the timber superstructure is very light compared to<br />

the vertical capacity of the isolation devices, the system<br />

is optimized if the timber superstructure is higher than<br />

two storeys and have a smaller plan. For the case study<br />

isolated building, where 16 devices were used, it was<br />

calculated that the cost difference with the non-isolated<br />

building is only 11000 €, corresponding to 0.75% of the<br />

total cost of the non-isolated building. The factors that<br />

influence this difference are three: the saving in wood<br />

material for the isolated structure; the higher cost of the<br />

concrete basement for the isolated structure; and the cost<br />

of the isolating devices. The additional cost of the<br />

isolation is by far counterbalanced by the increased<br />

safety of the building. Therefore, passive base isolation<br />

should be considered more often when designing lightframe<br />

timber buildings in earthquake-prone areas.<br />

However, it should be reminded that the use of passive<br />

base isolation is only possible when the design is<br />

governed by seismic actions and not by wind actions,<br />

which is not always the case. Moreover, the results<br />

obtained in this paper are applicable only for the lightframe<br />

timber construction systems: more research should<br />

be undertaken to cover other types of timber buildings.<br />

ACKNOWLEDGEMENT<br />

The support provided by the Sardinia Region through the<br />

research grant “Numerical-experimental behaviour of<br />

timber panels under in-plane and out-of-plane loading”<br />

is gratefully acknowledged.<br />

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[1] Mander J.B ., Cheng C.T.: Seismic resistance of<br />

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studenti.html

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