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The method of matrices conjoint multiplication for the problem of circular arc corrugated diaphragm |
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| Authors: | Zhou Zhe-wei Wang Shu |
| Affiliation: | Huazhong University of Science and Technology, Wuhan |
| Abstract: | The circular arc corrugated diaphragms are taken in this paper as composite structures of several sections of the ring shells and a central circular plate. Transfer matrices and link matrices are derived by using Prof. Chien Wei-zang's general solutions of the ring shells[1] and perturbation theory of the circular thin plates[2]. Through the method of matrices conjoint multiplication, the linear exact solution and nonlinear solution are obtained. The results agree with that of the experiments presented by W. A. Wildhack[3]. |
| Keywords: | principal resonance Van der Pol-Duffing oscillator multiple scate method largest Lyapunov exponent steady state probability density function |
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