STABILITY AND ACCURACY FOR NONLINEAR SYSTEMS

机译：非线性系统的稳定性和准确性

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Stability and accuracy of the Newmark method for solving nonlinear systems are analytically evaluated. It is proved that an unconditionally stable method for linear elastic systems is also unconditionally stable for nonlinear systems and a conditionally stable method for linear elastic systems remains conditionally stable for nonlinear systems except that the upper stability limit might vary with the step degree of nonlinearity and step degree of convergence. It is also found that numerical accuracy in the solution of nonlinear systems is highly related to the step degree of nonlinearity and the step degree of convergence although its general properties are similar to those of linear elastic systems. Analytical results are confirmed with numerical examples.

机译：分析地评估了Newmark方法求解非线性系统的稳定性和准确性。证明了线性弹性系统的无条件稳定方法对于非线性系统也是无条件稳定的，而线性弹性系统的条件稳定方法对于非线性系统则保持条件稳定，除了稳定上限随非线性度和阶跃程度的变化而变化外。收敛程度。还发现，非线性系统解的数值精度与非线性阶跃度和收敛阶跃度高度相关，尽管其一般性质与线性弹性系统相似。数值实例证实了分析结果。

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《ASME(American Society of Mechanical Engineers) Pressure Vessels and Piping Conference vol.8: Seismic Engineering; 20050717-21; Denver,CO(US)》|2005年|P.3-9|共7页
会议地点 DenverCO(US)
作者
Shuenn-Yih Chang;
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作者单位

Department of Civil Engineering, National Taipei University of Technology, Taipei 106-08, Taiwan, R.O.C.;

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原文格式 PDF
正文语种 eng
中图分类压力容器;
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1. Linearized Stability and Accuracy for Step-by-Step Solutions of Certain Nonlinear Systems [J] . Chang SY Journal of Engineering Mechanics . 2008,第12期

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2. Accuracy Improvement of the Method of Multiple Scales for Nonlinear Vibration Analyses of Continuous Systems with Quadratic and Cubic Nonlinearities [J] . Akira Abe Mathematical Problems in Engineering . 2010,第Pta4期

机译：具有二次和三次非线性的连续系统非线性振动分析的多尺度方法的精度改进
3. Accuracy Improvement of the Method of Multiple Scales for Nonlinear Vibration Analyses of Continuous Systems with Quadratic and Cubic Nonlinearities [J] . AkiraAbe Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第5期

机译：具有二次和三次非线性的连续系统非线性振动分析的多尺度方法的精度改进
4. STABILITY AND ACCURACY FOR NONLINEAR SYSTEMS [C] . Shuenn-Yih Chang, American Society of Mechanical Engineers(ASME) ASME Pressure Vessels and Piping Conference: Seismic Engineering . 2005

机译：非线性系统的稳定性和准确性
5. THEORY OF STABILITY REGIONS OF NONLINEAR SYSTEMS AND ITS APPLICATION TO POWER SYSTEM TRANSIENT STABILITY ANALYSIS [D] . CHIANG, HSIAO-DONG. 1986

机译：非线性系统稳定地区理论及其在电力系统瞬态稳定性分析中的应用
6. Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities [O] . Xian Liu, Jiajia Du, Qing Gao -1

机译：具有边坡约束非线性的非线性系统的稳定性分析。
7. Accuracy Improvement of the Method of Multiple Scales for Nonlinear Vibration Analyses of Continuous Systems with Quadratic and Cubic Nonlinearities [O] . Akira Abe 2010

机译：具有二次和立方非线性的连续系统的非线性振动分析方法的准确性改进
8. Multivariable Sectors and Nonlinear Stability. Part 1: The Use of Sectors in the Derivation of Stability Criteria for Nonlinear Multivariable Systems [R] . Husband, R., Kouvaritakis, B. 1981

机译：多变量扇区与非线性稳定性。第1部分：非线性多变量系统稳定性判据推导中的区域使用

STABILITY AND ACCURACY FOR NONLINEAR SYSTEMS

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