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·
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 W operator. 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.
出处
《应用数学和力学》
CSCD
北大核心
2000年第7期708-714,共7页
Applied Mathematics and Mechanics
基金
航空基金
关键词
矩形板
文克尔地基
振动
阶梯式
中面单向受拉
rectangular plate
free vibration
forced vibration
response
Winkler's foundation
subjected to in_plane tensile/compressive force
stepped