文克尔地基上中面单向受拉(压)的阶梯式单向矩形薄板的振动

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 航空基金

Vibrations of Stepped One-Way Thin Rectangular Plates Subjected to in-Plane Tensile/Compressive Force in y-Direction on Winkler’s Foundation

Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China

摘要: 用奇异函数建立文克尔地基上中面单向受拉(压)的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。此处导出的各种情况下的影响函数,亦可用于求解相应情况下梁和板的静力弯曲或稳定性问题。
- 矩形板 /
- 自由振动 /
- 强迫振动 /
- 响应 /
- 文克尔地基 /
- 中面单向受拉(压) /
- 阶梯式
Abstract: Differential equations of free/forced vibrations of n-step one-way thin rectangular plates subjected to in-plane tensile/compressive force in y-direction on Winkler's foundation are established by using singular functions,their general solutions solved for,expression of vibration mode function and frequency equation on usual supports derived with Woperator.Influence functions for various cases deduced here may also be used to resolve problems of static buckling or stability for beams and plates in relevant circumstances.
- rectangular plate /
- free vibration /
- forced vibration /
- response /
- Winkler’s foundation /
- subjected to in-plane tensile/compressive force /
- stepped

[1]	Ercoli L, Laura P A A. Analytical and experimental investigation on vibrating, continuous rectangular plates of non-uniform thickness[J]. Journal of Sound and Vibration,1987,112(3):447～454.
[2]	张英世,王燮山. 文克尔地基上阶梯式单向矩形薄板的振动[J]. 应用数学和力学,1998,19(2):157～164.
[3]	张英世,蒋持平. 阶梯式矩形板的振动[J]. 应用力学学报,1998,15(4):109～115.
[4]	张英世. 文克尔地基上阶梯式矩形薄板的振动[J]. 应用数学和力学,1999,20(5):535～542.
[5]	张英世,顾煜炯. 中面单向受拉(压)的阶梯式矩形薄板的振动[J]. 上海力学,1999,20(4):437～442.
[6]	曹志远. 板壳振动理论[M]. 北京:中国铁道出版社,1989,16-33,182～183.