THE METHOD OF MATRICES CONJOINT MULTIPLICATION FOR THE PROBLEM OF CIRCULAR ARC CORRUGATED DIAPHRAGM

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (6): 579-597.

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THE METHOD OF MATRICES CONJOINT MULTIPLICATION FOR THE PROBLEM OF CIRCULAR ARC CORRUGATED DIAPHRAGM

Zhou Zhe-wei, Wang Shu

Huazhong University of Science and Technology, Wuhan

Received:1984-07-10 Online:1985-06-18 Published:1985-06-18

Abstract

Abstract: The circular are corrugated diaphragins are taken in this paper and structures of several sections of the ring shells and a central cireular plale I matrices and link matrices are derived by using Prof. Chuen Hei-zang’s general the ring shell[1] and perturbation theory of the circular thin plates. Throngh the meined of matrices conjoint multiplication, the linear exact solution and nonlinear soluaen are obtained. The resutts agree with that of the experiments presented by W. A. Wildhack..

Key words: principal resonance, Van der Pol-Duffing oscillator, multiple scate method, largest Lyapunov exponent, steady state probability density function

Zhou Zhe-wei;Wang Shu. THE METHOD OF MATRICES CONJOINT MULTIPLICATION FOR THE PROBLEM OF CIRCULAR ARC CORRUGATED DIAPHRAGM. Applied Mathematics and Mechanics (English Edition), 1985, 6(6): 579-597.

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THE METHOD OF MATRICES CONJOINT MULTIPLICATION FOR THE PROBLEM OF CIRCULAR ARC CORRUGATED DIAPHRAGM

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