Spurious resonances in numerical time integration methods for linear dynamics

被引:7
作者
Cannillo, V [1 ]
Mancuso, M [1 ]
机构
[1] Univ Modena, Dipartimento Sci Ingn, I-41100 Modena, Italy
关键词
D O I
10.1006/jsvi.2000.3104
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper deals with the accuracy of time integration methods for linear dynamics when applied near the resonance condition. An approach for the analysis is considered which allows spurious resonance conditions to be detected. The analysis of Newmark methods shows the existence of such conditions which can adversely affect the quality of numerical computations, As an alternative, a higher order algorithm, which can be viewed as a generalization of the trapezoidal rule, is investigated. The analysis reveals that the spurious disturbance near the resonance condition is greatly reduced. The reported numerical tests confirm the theoretical predictions and demonstrate that high-quality simulations can be obtained by means of higher order algorithms. (C) 2000 Academic Press.
引用
收藏
页码:389 / 399
页数:11
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