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Analysis and modelling of the seismic behaviour of high ... - Ingegneria

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4. SEISMIC RESPONSE OF PARTIAL-STRENGTH COMPOSITE JOINTS<br />

156<br />

referred to as <strong>the</strong> elastic slope for <strong>the</strong> accelerogram. Calculation <strong>of</strong> <strong>the</strong> slope<br />

for <strong>the</strong> rest <strong>of</strong> <strong>the</strong> accelerograms using <strong>the</strong> same procedure <strong>and</strong> calculation<br />

<strong>of</strong> <strong>the</strong> median slope. The slope <strong>of</strong> this median line is referred to as <strong>the</strong> elastic<br />

slope, Se.<br />

c. Performance <strong>of</strong> a non-linear time history analysis <strong>of</strong> <strong>the</strong> structure<br />

subjected to one <strong>of</strong> <strong>the</strong> accelerograms. Plotting <strong>of</strong> this point, called ∆1, on <strong>the</strong><br />

graph.<br />

d. Increase <strong>of</strong> <strong>the</strong> amplitude <strong>of</strong> <strong>the</strong> accelerogram <strong>and</strong> repeat step c. This<br />

may be done by multiplying <strong>the</strong> accelerogram by a constant, which increases<br />

<strong>the</strong> spectral ordinates <strong>of</strong> <strong>the</strong> accelerogram by 0.1g. Plotting <strong>of</strong> this point as<br />

∆2. Repetition <strong>of</strong> step 4 until <strong>the</strong> structure will be a mechanism or <strong>the</strong><br />

maximum rotation capacity <strong>of</strong> <strong>the</strong> components will be reached. When this<br />

condition is reached, ∆i is <strong>the</strong> global drift capacity for this accelerogram.<br />

e. Choice <strong>of</strong> ano<strong>the</strong>r accelerogram <strong>and</strong> repetition <strong>of</strong> steps c through d<br />

this for each accelerogram. The median capacity for global collapse is <strong>the</strong><br />

median value <strong>of</strong> <strong>the</strong> calculated set <strong>of</strong> drift limits.<br />

The factors that affect <strong>the</strong> curve <strong>of</strong> <strong>the</strong> Incremental Dynamic <strong>Analysis</strong> (IDA)<br />

are P-∆ effects, increment used for <strong>the</strong> analysis, ground motions used, strain<br />

hardening ratio, shifting <strong>of</strong> fundamental period due to non-linearity, <strong>high</strong>er<br />

mode effects, <strong>and</strong> shifting <strong>of</strong> maximum story drift location.<br />

The accelerograms employed are characterized by strong motion duration <strong>of</strong> 10<br />

sec with rise <strong>and</strong> decay periods <strong>of</strong> 2,5 <strong>and</strong> 5,0 secs respectively as shown Table<br />

4.6. The generation <strong>of</strong> <strong>the</strong> spectrum compatible accelerograms was done<br />

according to <strong>the</strong> method provided by Clough <strong>and</strong> Penzien (1993). At <strong>the</strong> end <strong>of</strong> <strong>the</strong><br />

generation process, in order to remove <strong>the</strong> drift in terms <strong>of</strong> displacement <strong>and</strong><br />

velocity in all <strong>the</strong> accelerograms, <strong>the</strong> method <strong>of</strong> <strong>the</strong> linear baseline correction<br />

proposed by Meskouris (2000) was applied.<br />

∆tr [sec] ∆tsm [sec] ∆td [sec]<br />

2,5 10,0 5,0<br />

Table 4.6. Rise, decay <strong>and</strong> strong motion durations<br />

employed for <strong>the</strong> generation <strong>of</strong> <strong>the</strong> accelerograms<br />

The generated spectrum compatible accelerograms were three <strong>and</strong> <strong>the</strong>y were<br />

referred to as A-03, A-12 <strong>and</strong> A-14. It is important to underline that <strong>the</strong><br />

accelerogram employed for <strong>the</strong> pseudo-dynamic tests on <strong>the</strong> prototype structure<br />

was sorted out basing on <strong>the</strong> possible values <strong>and</strong> localization <strong>of</strong> <strong>the</strong> damage<br />

induced into <strong>the</strong> structure at <strong>the</strong> collapse limit state. The selection <strong>of</strong> <strong>the</strong><br />

accelerogram was done considering <strong>the</strong> following parameters:

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