摘要
本文研究了计及横向剪切变形的直线型正交异性层合圆板在简谐载荷ｑ０ｃｏｓωｔ作用下的非线性受迫振动问题·采用伽辽金方法得到强振频率与振幅关系的解析解·最后，分析了横向剪切对板振动的影响，并给出了板的非线性自由振动的非线性周期对线性周期的比值·
In this paper,nonlinear forced vibration of symmetrically laminated rectilinearly orthotropic circular plates excited by a harmonic force q 0cosωt including effects of transverse shear deformation is discussed.The analytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin′s method.Finally,the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period for nonlinear free vibration of the plate.
出处
《应用数学和力学》
EI
CSCD
北大核心
1998年第2期105-112,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金
航空基金
关键词
受迫振动
层合圆板
正交异性
剪切变形
large amplitude forced vibration,rectilinear orthotropy,laminated circular plate,transverse shear
