HARMONIC-ANALYSIS OF DYNAMIC-SYSTEMS WITH NONSYMMETRIC NONLINEARITIES

被引:16
作者
SPANOS, PTD
IWAN, WD
机构
[1] Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX
[2] California Institute of Technology, University of Texas at Austin, Pasadena, CA
来源
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 1979年 / 101卷 / 01期
关键词
D O I
10.1115/1.3426393
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The generalized method of equivalent linearization is modified to be applicable for multi-degree-of-freedom dynamic systems with nonsymmetric nonlinearities subjected to harmonic monofrequency excitation. Readily applicable formulas are given for the construction of the equivalent linear systems related to a class of systems commonly encountered in engineering applications. As an example of its application, the proposed method is used to generate an approximate steady-state solution for a simple vehicle system. The accuracy of the approximate solutions is determined. © 1979 ASME.
引用
收藏
页码:31 / 36
页数:6
相关论文
共 11 条
[1]  
Struble R.A., Nonlinear Differential Equations, (1962)
[2]  
Bogoliubov N., Mitropolski A., Asymptotic Methods in the Theory of Nonlinear Oscillations, (1961)
[3]  
Kantarovich L.V., Krylov V.I., Approximate Methods of Higher Analysis, (1958)
[4]  
Iwan W.D., Patula E.J., The Merit of Different Error Minimization Criteria in Approximate Analysis, Journal of Applied Mechanics, 29, pp. 257-262, (1972)
[5]  
Iwan W.D., A Generalization of the Method of Equivalent Linearization, International Journal of Non-Linear Mechanics, 8, pp. 279-287, (1973)
[6]  
Spanos P.-T.D., Iwan W.D., On the Existence and Uniqueness of Solutions Generated by Equivalent Linearization, International Journal of Non-Linear Mechanics, 13, pp. 71-78, (1978)
[7]  
Burns R.N., Sachs H.K., Ride Comfort as Influenced by Asymmetric Shock Abosrber Characteristics, Proceedings of the Second International Conference on Vehicle Mechanics, pp. 89-106, (1973)
[8]  
Whithead M.R., The Optimization of Undercarriage Characteristics in Transport Aeroplanes Using a Hybrid Computation Technique, In Stress, Vibration and Noise Analysis in Vehicles, pp. 389-411, (1975)
[9]  
McLachlan N.W., Ordinary Non-Linear Differential Equations in Engineering and Physical Sciences, (1958)
[10]  
Spanos P.-T.D., Linearization Techniques for Nonlinear Dynamical Systems, EERL 76-4, (1976)