On Efficient Computation of the Steady-State Response of Linear Systems With Periodic Coefficients

Author:

Selstad T. J.1,Farhang K.1

Affiliation:

1. Department of Mechanical Engineering, Southern Illinois University, Carbondale, IL 62901-6603

Abstract

An efficient method for obtaining the steady-state response of linear systems with periodically time varying coefficients is developed. The steady-state solution is obtained by dividing the fundamental period into a number of intervals and establishing, based on a fourth-order Rung-Kutta formulation, the relation between the response at the start and end of the period. Imposition of periodicity condition upon the response facilitates computation of the initial condition that yields the steady-state values in a single pass; i.e., integration over only one period. Through a practical example, the method is shown to be more accurate and computationally more efficient than other known methods for computing the steady-state response.

Publisher

ASME International

Subject

General Engineering

Reference10 articles.

1. Butcher, J. C, 1987, The Numerical Analysis of Ordinary Differential Equations, Wiley, New York, New York.

2. Cameron T. M. , and GriffinJ. H., 1989, “An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems,” ASME Journal of Applied Mechanics, Vol. 56, pp. 149–154.

3. Chivate, P. N., and Farhang, K., 1993, “Effect of Coupler Material Damping on Steady-State Response Calculation of Elastic Mechanisms,” Dynamics and Vibration of Time-Varying Systems and Structures, DE-Vol. 56, ASME, pp. 139–146.

4. Erdman, A. G., ed., 1993, Modern Kinematics: Developments in the Last Forty Years, Wiley, New York, New York.

5. Farhang, K., 1989, “Analytical and Experimental Parametric Vibration Stability Studies in Elastic Mechanisms,” Ph.D. Dissertation, Purdue University, West Lafayette, Indiana.

Cited by 19 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3