Cheng Xiang-sheng. The Unsymmetrical Bending of Contilever Rectangular Plates[J]. Applied Mathematics and Mechanics, 1987, 8(11): 1027-1033.
Citation: Cheng Xiang-sheng. The Unsymmetrical Bending of Contilever Rectangular Plates[J]. Applied Mathematics and Mechanics, 1987, 8(11): 1027-1033.

The Unsymmetrical Bending of Contilever Rectangular Plates

  • Received Date: 1986-08-12
  • Publish Date: 1987-11-15
  • This paper discusses the problems of the unsymmetrical bending of cantilever rectangular plates under various loads by the energy method.We illustrate numerous calculating examples such as the plates which are subjected by the concentrated forces or concentrated couples unsymmetrically on free sides and corner points and by a uniformly or nonuniformly distributed loads unsymmetrically on free edges and so forth.
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  • [1]
    Канторович Л.В.,Изв.АН СССР,NO 5(1933).
    [2]
    Канторович Л.В.,и В.И.Крылов,Прцблцженные Мемобы Высшю Аналцза,Гостехиздат(1941).
    [3]
    MacGregor,C.W.,Mech.Eng.,57(1935),225.
    [4]
    Holl,D.L.,J.Appl.Mech.,4(1937),8.
    [5]
    Jaramillo,T.J.,J.Appl.Mech.,17(1950),67.
    [6]
    Nash,W.A.,J Appl.Mech.,19(1952),33.
    [7]
    Jung,H.,Math.Information,6(1952),343.(in German).
    [8]
    Girkmann,K.,Plane Carrying Structures,Forth Edition,Vienna,(1956),233.(in German).
    [9]
    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).
    [10]
    Koiter,W.T.and J.B.Alblas,Journal of the Netherlands Royal Academy of Sciences,Amsterdam,60(1957),173.
    [11]
    张福范,《弹性薄板》,科学出版社,第二版(1984).
    [12]
    Plass,H.J.,J.H.Games Jr.and C.D.Newson,J.Appl.Mech.,29(1962).
    [13]
    Rayleigh,J.W.S.,Theory of Sound Macmillan and Co.,Ltd.,London(1877).
    [14]
    Ritz,W.,J.Pure and Appl.Mathe.,135(1908) 1-61.(in German).
    [15]
    Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,Sec.Edit.(1959).
    [16]
    钱伟长,《变分法及有限元》(上册),科学出版社,(1980).
    [17]
    Лехницкий С.Г.,Анцзомропные Пласмцнкц,Гостехиздат.,М.(1957).
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