The Bending, Stability and Vibrations of Cantilever Rectangular Plates

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Cheng Xiang-sheng. The Bending, Stability and Vibrations of Cantilever Rectangular Plates[J]. Applied Mathematics and Mechanics, 1987, 8(7): 639-648.

Citation:

Cheng Xiang-sheng. The Bending, Stability and Vibrations of Cantilever Rectangular Plates[J]. Applied Mathematics and Mechanics, 1987, 8(7): 639-648.

Citation:

Cheng Xiang-sheng. The Bending, Stability and Vibrations of Cantilever Rectangular Plates[J]. Applied Mathematics and Mechanics, 1987, 8(7): 639-648.

Abstract

This paper discusses the problems of the bending, stability and vibrations of cantilever rectangular plates by means of the variational method. In the text a good many calculating examples are illustrated.

[1]	Канторович Л.В.,Изв.АН СССР,5(1933)
[2]	MacGregor,C.W.,Mech.Eng.,57(1935),225.
[3]	Holl,D.L.,J.Appl.Mech.,40(1937),8.
[4]	Jaramillo,T.J.,J Appl.Mech.,17(1950),67.
[5]	Nash,W.A.,J.Appl.Mech.,19(1952),33.
[6]	Jung,H.,Mathe Inform.6(1952),343.
[7]	GirKmann,K.,Plane Carrying Structures,Fourth Edition,Vienne(1956),233.
[8]	舒德坚、施振东,弹性薄板广义变分原理及其应用,北京航空学院学报,(1957).
[9]	Koiter,W.T.,and J.B.Alblas,Journal of the Netherlands Royal Academy Sciences,Amsterdam,60(1957),173.
[10]	张福范,《弹性薄板》第二版,科学出版社(1984).
[11]	Plass,H.J.,J.H.Games Jr.and C.D.Newson,J Appl.Mech.,29(1962).
[12]	Rayleigh,J.W.S.,Theory of Sound Macmitlan and Co.,Ltd.,London(1877).
[13]	Ritz,W.,J.Pure and Appl.Mathe.,135(1908),1-61.
[14]	钱伟长,《变分法及有限元》(上册),科学出版社(1980).
[15]	Лехницкий С.Г.,Анцзомропные Пласмцякц,Гостехиздаг,М.(1957)
[16]	Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,Second Edition,McGrow-Hill Book Company,Inc.(1959).
[17]	Timoshenko,S.,Theory of Elastic Stability,McGrow-Hill Book Company,Inc.,New York(1936).
[18]	曹国雄,《弹性矩形薄板振动》,中国建筑工业出版社(1983),98