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

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2. DUCTILITY AND SEISMIC RESPONSE OF STRUCTURES<br />

Figure 2.10. Process for simplified dem<strong>and</strong> estimation Gupta<br />

<strong>and</strong> Krawinkler (2000)<br />

However, such satisfactory predictions <strong>of</strong> <strong>seismic</strong> dem<strong>and</strong>s are mostly restricted to<br />

low- <strong>and</strong> medium-rise structures in which <strong>the</strong> inelastic action is distributed<br />

throughout <strong>the</strong> height <strong>of</strong> <strong>the</strong> structure (Krawinkler <strong>and</strong> Seneviratna, 1998; Gupta<br />

<strong>and</strong> Krawinkler, 2000). None <strong>of</strong> <strong>the</strong> invariant force distributions can take into<br />

account <strong>the</strong> contributions <strong>of</strong> <strong>high</strong>er modes to response, or for a redistribution <strong>of</strong><br />

inertia forces because <strong>of</strong> structural yielding <strong>and</strong> <strong>the</strong> associated changes in <strong>the</strong><br />

vibration properties <strong>of</strong> <strong>the</strong> structure. To overcome <strong>the</strong>se limitations, several<br />

researchers have proposed adaptive force distributions that attempt to follow more<br />

closely <strong>the</strong> time-variant distributions <strong>of</strong> inertia forces [Fajfar <strong>and</strong> Fischinger, 1988;<br />

Gupta <strong>and</strong> Kunnath, 2000]. While <strong>the</strong>se adaptive force distributions may provide<br />

better estimates <strong>of</strong> <strong>seismic</strong> dem<strong>and</strong>s, <strong>the</strong>y are conceptually complicated <strong>and</strong><br />

computationally dem<strong>and</strong>ing for routine application in structural engineering<br />

practice. Attempts have also been made to consider more than <strong>the</strong> fundamental<br />

vibration mode in pushover analysis.<br />

2.4.2 Non-linear dynamic procedure (NDP)<br />

Under <strong>the</strong> non-linear dynamic procedure (NDP), design <strong>seismic</strong> forces, <strong>the</strong>ir<br />

distribution over <strong>the</strong> height <strong>of</strong> <strong>the</strong> building, <strong>and</strong> <strong>the</strong> corresponding internal forces<br />

<strong>and</strong> system displacements are determined by using an inelastic dynamic analysis<br />

(IDA). The concept was mentioned as early as 1977 by Bertero, <strong>and</strong> has since<br />

been cast in several forms in <strong>the</strong> work <strong>of</strong> many researchers. Recently, it has also<br />

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