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