著者

YAMADA Katsutoshi TAKEUTI Yoichiro

出版者

一般社団法人日本機械学会

雑誌

Bulletin of JSME (ISSN:00213764)

巻号頁・発行日

vol.22, no.173, pp.1537-1543, 1979-11

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A theoretical method is presented for the bending problems of perforated plates within the framework of the Poisson-Kirchhoff theory of thin plates. The method is illustrated by giving the solution for an infinite plate with a doubly periodic set of circular holes having a square or triangular pattern under unequal uniform bending moments about the axes of symmetry. Numerical results are given for the distributions of the bending moments around the holes and stress concentration factors over the entire range of pitch to diameter ratios of general interest. The results show the power and flexibility of the technique. The solution obtained here can be used, just as it is, for a plate with holes of arbitrary shape and array. Also the extension of the method to a plate under a class of loads other than uniform bending, e.g. twisting moment or transverse shearing force acting on the edges of the plate is quite straightforward.