2002•Journal of Tsinghua University(Science and Technology)Requires access

Structural dynamic response analysis by reduced dimensions based on a precise time-integration method

PU Jun-ping

Abstract

A timeintegration model was developed for the dynamic response of structures using a precise timeintegration method and direct integration of the state equation. The highly accurate dynamic results were obtained by using Cotes formula for high algebraic accuracy. A reduced integration was implemented for the dynamic equations using a precise timeintegration method to reduce the masterslave freedom degrees. The dimensions of mass matrix, damping matrix and stiffness matrix were reduced by retaining the specified master freedom degrees and deleting the rest freedom degrees. The times consumed for decomposing the exponent matrix were reduced greatly. Numerical examples show that the algorithm is efficient and precise.

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Key concepts: Degrees of freedom (physics and chemistry), Damping matrix, Matrix (chemical analysis), Numerical integration, Mass matrix, Algebraic equation, Direct stiffness method, Control theory (sociology)