Analytical solution and modulation of time periodic parameter for dynamic systems
Pseudo closed form complete solution for nonlinear dynamical systems subjected to inhomogeneous generalized forcing using state transition matrices was developed, based on the Fourier expansion of periodic matrices and substitution of matrix exponential terms via Lagrange-Sylvester theorem. With a prescribed frequency spectrum, a jump modulation procedure was employed to avoid the aliasing effect when constructing approximation for equivalent stair-step stiffness function, yielding the appropriate constant value over each subinterval. A Hill-Messincr type of two degree-of-freedom system was presented afterwards to demonstrate methods for the forced response and the procedure for the modulation of time periodic parameter. The obtained results are presented and discussed.
parametric excitation time periodic stiffness response analytical solution jump modulation
Zhou Yuanzi Wang Yanzhong
School of Mechanical Engineering and Automation Beihang University Beijing, P. R. China
国际会议
重庆
英文
260-263
2011-01-21（万方平台首次上网日期，不代表论文的发表时间）