A method for dynamic response analysis of non-linear structural systems by using the mode-superposition method is proposed. The analytical formulation is based on the solution of dynamic motion equation by the recently proposed theory of structural systems with dynamical modifications. The method requires the following steps: ) the evaluation of mode shapes at the beginning of the numerical procedure only, since these vectors are used as basis along the numerical procedure; ii) the evaluation of numerical response in modal subspace by updating the fundamental operator of numerical procedure at each time step; iii) the calculation at each time step of the pseudo-forces.

Dynamic analysis of non-linear structures by modal superposition approach

SOFI, Alba
2000-01-01

Abstract

A method for dynamic response analysis of non-linear structural systems by using the mode-superposition method is proposed. The analytical formulation is based on the solution of dynamic motion equation by the recently proposed theory of structural systems with dynamical modifications. The method requires the following steps: ) the evaluation of mode shapes at the beginning of the numerical procedure only, since these vectors are used as basis along the numerical procedure; ii) the evaluation of numerical response in modal subspace by updating the fundamental operator of numerical procedure at each time step; iii) the calculation at each time step of the pseudo-forces.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/14173
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