2008•Journal of Sichuan UniversityRequires access

A Simplified Numerical Integration Format of Newmark-β Method for Structural Dynamic Equations

YU Zhi-wu

Abstract

On the basis of Newmark-β method and superpasition principle,a new simplified numerical integration format for structural dynamics is deducted.The method is simple and convenient for elastic-plastic seismic response analysis because its calculated displacement is independent of velocity and acceleration.The starting condition and stability of this numerical integration format are discussed.Theoretical analysis and numerical examples showed that accuracy is better and stability is worse if the coefficient β changed from 1/4 to 1/8.

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Key concepts: Newmark-beta method, Numerical integration, Displacement (psychology), Stability (learning theory), Acceleration, Numerical analysis, Numerical stability, Simple (philosophy)