特殊对称铺设复合材料层合矩形板的全局动力学研究  

Global dynamics of a special symmetrically laid composite laminated rectangular plate

作　　者：马文赛 刘方浩 李东霄 张杰英 吕书锋 MA Wensai;LIU Fanghao;LI Dongxiao;ZHANG Jieying;LYU Shufeng(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China;Department of Mechanical and Electrical Engineering,Hulunbuir Vocational Technical College,Hulunbuir 021000,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]呼伦贝尔职业技术学院机电工程系,内蒙古呼伦贝尔021000

出　　处：《内蒙古工业大学学报（自然科学版）》2023年第2期109-115,共7页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金项目(12102207);2021博士启动金项目(DC2100000950)。

摘　　要：应用广义Melnikov方法首次研究了四边简支正交异性对称铺设复合材料层合矩形板的全局分岔和混沌动力学。通过坐标变换理论得到复合材料层合矩形板的五维非线性动力系统,由广义Melnikov理论计算出系统的k-脉冲Melnikov函数,得到复合材料层合矩形板系统的混沌阈值区间。利用Matlab软件,对理论结果进行数值模拟,得到复合材料层合矩形板的分岔图、相图和时间历程图来验证理论分析的正确性。最后,通过理论分析和数值模拟进一步表明复合材料层合矩形板存在多脉冲混沌运动。The global bifurcation and chaotic dynamics of simply supported orthotropic symmetrically laminated composite rectangular plate is studied for the first time by using the generalized Melnikov method.The five-dimensional nonlinear dynamic system of composite laminated rectangular plate is obtained by coordinate transformation theory.The k-pulse Melnikov function of the system is calculated by the generalized Melnikov theory,and the chaotic threshold interval of composite laminated rectangular plate system is obtained.Using MATLAB software,the theoretical results are numerically simulated to obtain the bifurcation diagram,phase diagram and time history diagram of the composite laminated rectangular plate to verify the correctness of the theoretical analysis.Finally,the theoretical analysis and numerical simulation further show that there is multi-pulse chaotic motion in the composite laminated rectangular plate.

关 键 词：复合材料层合矩形板 分岔 混沌 MELNIKOV方法 

分 类 号：TB[一般工业技术]