摘要
用奇异函数建立文克尔地基上阶梯式单向矩形薄板自由振动和强迫振动的微分方程并求得其通解，用Ｗ算子给出主振型函数的表达式及常见支承条件下板的频率方程，用广义函数讨论板在不同形式载荷作用下的强迫振动响应·
Differential equations of free/forced vibrations of one_way rectangular stepped thin plates on Winkler′s foundation are established by using singular functions;their general solutions are solved;expression of vibration mode function and frequency equations on usual supports are derived from W operator;forced responses of such plates under different_type loads are discussed with generalized functions.
出处
《应用数学和力学》
EI
CSCD
北大核心
1998年第2期157-164,共8页
Applied Mathematics and Mechanics
关键词
文克尔地基
矩形薄板
自由振动
强迫振动
Winkler′s foundation,one_way rectangular stepped thin plate,free vibration,forced response
