Analysis and modelling of the seismic behaviour of high ... - Ingegneria
Analysis and modelling of the seismic behaviour of high ... - Ingegneria
Analysis and modelling of the seismic behaviour of high ... - Ingegneria
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4. SEISMIC RESPONSE OF PARTIAL-STRENGTH COMPOSITE JOINTS<br />
4.9.1 Pushover vs. incremental dynamic analysis results<br />
Pushover analysis<br />
As said in Chapter 2 Subsection 4, <strong>the</strong> purpose <strong>of</strong> <strong>the</strong> pushover analysis is to<br />
evaluate <strong>the</strong> expected performance <strong>of</strong> a structural system by estimating its strength<br />
<strong>and</strong> deformation dem<strong>and</strong>s in design earthquakes by means <strong>of</strong> a static inelastic<br />
analysis, <strong>and</strong> comparing <strong>the</strong>se dem<strong>and</strong>s to available capacities at <strong>the</strong> performance<br />
levels <strong>of</strong> interest (Krawinkler <strong>and</strong> Seneviratna, 1998). By means <strong>of</strong> <strong>the</strong> numerical<br />
model above described, which implements <strong>the</strong> non-linear <strong>behaviour</strong> <strong>of</strong> <strong>the</strong><br />
structural members <strong>of</strong> <strong>the</strong> prototype structure, <strong>the</strong> NSP analysis based on <strong>the</strong><br />
Capacity Spectrum Method (CSM) <strong>and</strong> on <strong>the</strong> Performance Point Method<br />
proposed in <strong>the</strong> Eurocode 8 (2002) <strong>and</strong> FEMA-273 (1997) were performed. As<br />
explained in Chapter 2, <strong>the</strong> pushover analysis based on <strong>the</strong> CSM obtains <strong>the</strong><br />
performance point in <strong>the</strong> ADRS space (st<strong>and</strong>ard pseudo-acceleration Sa vs.<br />
deformation spectrum Sd). Differently from this, <strong>the</strong> response curve based on <strong>the</strong><br />
EC8 <strong>and</strong> FEMA assumptions is determined by nonlinear static analysis <strong>of</strong> <strong>the</strong><br />
structure subjected to lateral forces with invariant distribution over <strong>the</strong> height but<br />
gradually increasing values until a target value <strong>of</strong> ro<strong>of</strong> displacement is reached<br />
(Target Displacement). The floor displacements, storey drifts, joint rotations, plastic<br />
hinge rotations, etc., computed at <strong>the</strong> target displacement represent <strong>the</strong><br />
earthquake induced dem<strong>and</strong>s on <strong>the</strong> structure. Three distributions <strong>of</strong> lateral forces<br />
are specified in FEMA-273 (1997):<br />
(a) uniform distribution: s *<br />
j = mj (where j = 1, 2, …N is <strong>the</strong> floor number);<br />
(b) equivalent lateral force (ELF) distribution: s *<br />
j = mjh k<br />
j, where hj is <strong>the</strong> height <strong>of</strong><br />
<strong>the</strong> j-th floor above <strong>the</strong> base, <strong>and</strong> <strong>the</strong> exponent k varying linearly from <strong>the</strong> value<br />
1 for fundament period T1 < 0.5 sec <strong>and</strong> <strong>the</strong> value 2 for T1 > 2.5 sec;<br />
(c) SRSS distribution: s * is defined by <strong>the</strong> lateral forces back-calculated from <strong>the</strong><br />
storey shears determined by response spectrum analysis <strong>of</strong> <strong>the</strong> structure,<br />
assumed to be linearly elastic. This last distribution is not present in <strong>the</strong><br />
Eurocode 8 (2002) recommendations.<br />
The lateral force pr<strong>of</strong>iles in static pushover analyses influence <strong>the</strong> structural<br />
response. The first distribution represents <strong>the</strong> lateral forces that are proportional to<br />
<strong>the</strong> vertical distribution <strong>of</strong> <strong>the</strong> mass at various levels. The use <strong>of</strong> <strong>the</strong> uniform load<br />
shape may be justified in <strong>the</strong> light <strong>of</strong> a possible s<strong>of</strong>t storey mechanism <strong>of</strong> irregular<br />
buildings. If this mechanism occurs, <strong>the</strong> response will be controlled by a large drift<br />
in <strong>the</strong> first storey. Therefore, this load distribution may give better predictions <strong>of</strong> <strong>the</strong><br />
overall response. On <strong>the</strong> o<strong>the</strong>r h<strong>and</strong>, <strong>the</strong> code lateral load shape represents <strong>the</strong><br />
forces obtained from <strong>the</strong> predominant mode <strong>of</strong> vibration. The inverted triangular<br />
(code) <strong>and</strong> <strong>the</strong> rectangular (uniform) load shapes also represent <strong>the</strong> extreme cases<br />
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