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

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