Nonlinear oscillation analysis by an orthogonal function method
- 20 Downloads
In this paper, an orthogonal function method is presented based on the idea to suppose periodic solution with the method of harmonic balance. The displacement is expressed in the form of trigonometric functions, a group of simplified eigenequations are obtained by the use of orthogonarity of trigonumetric functions and linear modes. The method overcomes the difficulty of a drift term existing ht systems with quadratic nonlinearities. The calculation examples show that the method has the advantages of high calculation precision, high convergence speed and little calculation work.
Key wordsorthogonal function method nonlinearity oscillation characteristics eigenequations
Unable to display preview. Download preview PDF.
- A.H. Nayfey and D. T. Mook,Nonlinear-Oscillations, A Wiley Interscience Publication, New York (1979).Google Scholar
- Y.K. Cheung and S. L. Lau, Incremental time-space finite strip method for nonlinear structure vibrations,Earthquake Engineering and Structural Dynamicals,10 (1982), 239–253.Google Scholar
- Qin Rong,Spline Function Method for Structural Dynamicals, Guangxi Press (1985). (in Chinese)Google Scholar
- Tang Qiangang and Sun Shixian, The method of perturbation-harmonic balance for analysing nonlinear free vibrations of MDOF systems and structures,Journal of National University of Defence Technology,14, 4 (1992), 13–20. (in Chinese)Google Scholar