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Modal superposition method for seismic design of non-linear multistorey structures

✍ Scribed by Roberto Villaverde

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
720 KB
Volume
16
Category
Article
ISSN
0098-8847

No coin nor oath required. For personal study only.

✦ Synopsis

An approximate procedure is introduced to analyse non-linear multistorey structures within the framework of the conventional response spectrum method. Its derivation is based on the use of non-linear response spectra and an approximate decomposition of the equation of motion for multi-degree-of-freedom non-linear systems. The decomposition is attained by considering the non-linear terms in this equation of motion as additional external forces and, thus, by interpreting it as the equation of motion of linear systems with the initial properties of the non-linear ones when subjected to a modified set of inertia forces. For simplicity, the procedure is herein limited to elastoplastic systems of the shear-beam type. Its accuracy is evaluated by comparing the approximate and step-by-step integration solutions of systems with three and ten degrees of freedom when subjected to three different earthquake ground motions.

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