均变载荷下固定边圆薄板大挠度问题

关于均佈或中心集中载荷下圆薄板的大撓度平衡問題,已經有好几位学者用不同方法处理过。但用攝动法來处理时,不但計算比较簡單,并且得到的結果合乎实用。文蓀的攝动法选擇載荷为参数,解答的适用范圍小;钱偉長教授的攝动法选擇中心撓度为参数,得到的解答适用范圍大,并且和实驗的結果相符合。錢偉長教授的攝动法要比文蓀的攝动法來得高明。近几年來,錢偉长教授,胡海昌同志,叶开沅同志都采用撓皮为参数的攝动法解决了各种圓板的大撓度平衡問題。

LARGE DEFLECTION OF A CIRCULAR CLAMPED PLATE UNDER A LINEARLY VARYING LOAD

Since Karman's equations for large deflection of a thin plate was published, some problems of symmetrical banding of circular plates have been discussed by several authors using various methods, among which the method of perturba-tion is preferable to the other methods. It is worth montioning that, in the year 1947, Prof. Chien Wei-Zang treated the problem of largo deflection of a circular clamped plate under uniform, pressure, by means of the perturbation method with the central deflection as paramelor, and that his result is in good agreement with the experimental data obrained by A-E. MePherson, W. Ramburg,and S. Levy.In this paper, the problem of large deflection of a efrcalar elaniped plate under a linearly varying load is solved, the method of perturbation with the generalized displacoment as parameter, first suggested by Mr Hu Hai Chang, being used. For the sake of convenience in application, all our results are presented, by nicely plotted curves. So far as the author knows, no