PERIODIC SOLUTIONS FOR A THIN PLATE WITH PARAMETRICAL EXCITATION
By means of Man(a)sevich-Mawhin（M-M) continuation theorem，we will continue to investigate a thin plate system ”D▽4ω+pha2ω/at2-a2ωa2φ/ax2ay2-a2ωa2φ/ax2ay2+2a2ω/axaya2φ/axay+μaw/at+0,▽4φ=Eh”(a2ω/axay)2-a2ωa2ω/ax2ay2”,which can be derived from von Karman-type equation. Without loss of generality，we establish a criterion to guarantee the existence and uniqueness of periodic solutions for a second-order dimensional equation，which is the generalized form of that derived from the above system. The feasibility of the criterion will be verified by numerical simulation at the last section of this paper. Moreover，it is significant that the growth degree is allowed to be greater than 1 with respect to the variable of the nonlinear term，which generalize and improve on the corresponding results in the known literature.
延拓定理 周期解 参数激励 数值模拟
W. Zhang F.B. Gao L.H. Chen
College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P.R. China
国内会议
第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议
南京
英文
1-9
2009-05-15（万方平台首次上网日期，不代表论文的发表时间）