Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 783-790.
张英世
Zhang Yingshi
摘要: 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 solve problems of static buckling or stability for beams and plates in relevant circumstances.
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