四边简支正交异性板双向压屈模态的确定及其临界载荷的显式表达式
Determination of Buckling Mode and Explicit Expression of Critical Load for Simply Supported Rectangular Orthotropic Plates under Biaxial Compression
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摘要: Libove曾经证明[1],四边简支的正交异性板在双向压力下的屈曲模态沿x方向和y方向的半波数m和n这两者中必有一者为1.本文将给出m=1或n=1的条件,并确定n=1时m的取值,及m=1时n的取值.从而完全确定了四边简支正交异性板在双向压力下的屈曲模态,并给出了临界载荷的显式表达式.Abstract: C. Libove[1]proved that at least one of the halfwave numbers m and n in x and y directions of the buckling mode will be I for simply supported rectangular ort hot ropic plates under biaxial compression. This paper will give the physical conditions of m=1or n=1, and, at the same time, show the way of finding appropriate value of m when n=1 and that of n when m=1 and even lead to explicit expression for m and n. Thus, the buckling mode may be determined completely and the expression of critical load may beformlated explicitly.
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[1] Libove,Č.,Buckling pattern of biaxiaily compressed simply supported orthotropic rectangular plates,J.Composite Materials,17,Jan.(1983),45-47. [2] S,P.铁摩辛柯,J.M.盖莱,《弹性稳定理论》(第二版),张福范译,科学出版社(1965)§9.3节. [3] 李曙光,扁曲板轴压屈曲问题的进一步研究,航空学报,工程增刊,试刊第四期(1986,12). -
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