HIGHER DERIVATIVE EXPLICIT ONE-STEP METHODS FOR NONLINEAR DYNAMIC PROBLEMS .1. DESIGN AND THEORY

被引：42
作者：
HOFF, C
TAYLOR, RL
机构：
[1] Department of Civil Engineering, University of California, Berkeley, California
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1990年 / 29卷 / 02期
关键词：
D O I：
10.1002/nme.1620290205
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new higher order explicit one step scheme is presented for use in the solution of a certain class of non‐linear problems in structural dynamics. The generalized scheme covers some recently developed multistep algorithms as well as some new one step methods with improved numerical properties. A weighted residual approach is used which contains new aspects for design of single step algorithms. Accuracy and stability are investigated for linear and non‐linear systems. Algorithms with higher accurary than the central difference method are developed and optimized to minimize the reduction in the stability limit. Copyright © 1990 John Wiley & Sons, Ltd
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页码：275 / 290
页数：16
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