THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (7): 663-680.

THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES

付宝连¹, 李农²

1. Yanshan University, Qinhuagdao;
2. Luoyang Technology Institute, Luoyang

收稿日期:1987-09-08 出版日期:1991-07-18 发布日期:1991-07-18
通讯作者: Chien Wei-zang

THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES

Fu Bao-lian¹, Li Nong²

1. Yanshan University, Qinhuagdao;
2. Luoyang Technology Institute, Luoyang

Received:1987-09-08 Online:1991-07-18 Published:1991-07-18

摘要/Abstract

摘要： In this paper, applying the method of the reciprocal theorem, we give the stationary solutions of the forced vibration of cantilever rectangular plates under uniformly distributed harmonic load and concentrated harmonic load acting at any point of the plates, the figures and tables of number value of bending moment and the deflection amplitudes as well.

关键词: the method of reciprocal theorem, forced vibration, cantilever rectangular plate, the amplitude of bending moment, the amplitude of deflection

Abstract: In this paper, applying the method of the reciprocal theorem, we give the stationary solutions of the forced vibration of cantilever rectangular plates under uniformly distributed harmonic load and concentrated harmonic load acting at any point of the plates, the figures and tables of number value of bending moment and the deflection amplitudes as well.

Key words: the method of reciprocal theorem, forced vibration, cantilever rectangular plate, the amplitude of bending moment, the amplitude of deflection

付宝连;李农. THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(7): 663-680.

Fu Bao-lian;Li Nong. THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(7): 663-680.

参考文献

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[11] Fu Bao-lian,On equivelent of the reciprocal theorem to superpositon principles,Appl.Math.and Mech.,6,9(1985).
[12] Fu Bao-lian,Application of the reciprocal theorem for calculating the natural frequences of rectangular elastic thin plates,Appl.Math,and Mech.,611(1985).
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THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES

THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES

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