The Method of the Reciprocal Theorem of Forced Vibration for the Elastic Thin Rectangular Plates(Ⅲ)—Cantilever Rectangular Plates

Fu Bao-lian; Li Nong

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(7): 621-638

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, 1991, 12(7): 621-638.

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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 Date: 1987-09-08
Publish Date: 1991-07-15

Abstract

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.
- the method of reciprocal theorem,
- forced vibration,
- cantilever rectangular plate,
- the amplitude of bending moment,
- the amplitude of deflection

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References(14)

References

[1]	Stanisic,M.M.,Dynamic response of a diagonal line-loaded rectangular plate,AIAA Journal,15,12(1977).
[2]	Gorman,D.J.Dynamic response of a rectangular plate to a bending moment distributed along the diagonal,AIAA Journal,20,11(1982).
[3]	Dill,E.H.and K.S.Pister,Vibration of rectangular plate and plate systems,Proceedings of theThird U.S.National Congress of Applied Mechanics(1958).
[4]	Suaemihl,E.A.and P.A.A Laura,Forced vibration of thin elastic rectangular plate withedges elastically restrained against rotation.Journal of Ship Research,21,1(1977).24-29.
[5]	Donlson,B.K.,A new approach to the forced vibration of thin plates,Journal of Sound andVibration,30,4(1973),397-417.
[6]	Nowaski,V.,Structure Dynamic,Translation from Polish,National Publishing House,Moscow(1967).(in Russian).
[7]	张福范,《弹性薄板》(第二版).科学出版社,北京(1984).
[8]	曹国雄,《弹性矩形薄板振动》,中国建筑出版社,北京(1983).
[9]	付宝连,一个求解位移方程的新方法,东北重型机械学院第三届学术交流会(1981,1).
[10]	付宝连.应用功的互等定理求解复杂边界条件矩形板的挠曲面方程,应用数学和力学,3(3)(1982).
[11]	付宝连.关于功的互等定理与迭加原理的等价性,应用数学和力学,3(3)(1985).
[12]	付宝连,应用功的互等定理计算矩形弹性薄板的自然频率.应用数学和力学,6(11)(1985).
[13]	朱雁滨、付宝连,再论悬臂矩形板的弯曲,应用数学和力学.7(10)(1986).
[14]	付宝连、李农,弹性矩形薄板受迫振动的功的互等定理法(I)-四边固定的矩形板和三边固定的矩形板.应用数学和力学.10(8)(1989),693-714.