Nonlinear Dynamic Analysis of Structural Frames Using Reduced Order Models

by Steven Vukazich, Univ of California, Davis, United States,
Kyran Mish, Univ of California, Davis, United States,
Karl Romstad, Univ of California, Davis, United States,

Abstract: In order to provide more realistic and economical design of large structures it is necessary to perform analyses which take into account both material and geometric nonlinearities. Unfortunately, the computational effort required for discrete nonlinear finite element analysis of large structures is enormous and is usually prohibitive for most engineering applications. Thus, the need for reduced order schemes which give accurate results is warranted. This paper will compare the accuracy and computational efficiency of two alternatives to the fully discrete finite element approach; an equivalent continuum model and a reduced coordinate scheme using superposition of Lanczos vectors. The model problem used for comparison will be a two dimensional building frame subjected to earthquake excitation at the base.

Subject Headings: Dynamic structural analysis | Finite element method | Structural models | Dynamic models | Earthquake resistant structures | Nonlinear analysis | Mathematical models

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