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首页> 外文期刊>Transactions of Tianjin University >Axisymmetrical Nonlinear Bending and Buckling of a Circular Plate Under Large Load
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Axisymmetrical Nonlinear Bending and Buckling of a Circular Plate Under Large Load

机译：大载荷下圆板的轴对称非线性弯曲与屈曲

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摘要

With the terms of the exact series solution taken as trial functions, the method of point collocation was used to calculate the large deflection of a circular plate. The axisymmetrical bending formulae were developed for the calculation of a circular plate subjected to polynomial distributed loads, a concentrated load at the center, uniform radial forces and moments along the edge or their combinations. The support may be elastic. The buckling load was calculated. Under action of uniformly distributed load, central load or their compound load, solutions were compared with those obtained by other methods. Buckling beyond critical thrust was compared with that calculated by the power series method. The method presented in this paper has advantages of wide convergent range, high precision and short computing time. Moreover, the computing time is nearly independent of the complexity of the loads.
机译：以精确级数解为试验函数，采用点配点法计算圆板的大挠度。开发了轴对称弯曲公式，用于计算承受多项式分布载荷，中心集中载荷，均匀的径向力和沿边缘的力矩或其组合的圆形板。支撑物可以是弹性的。计算屈曲载荷。在均布载荷，中心载荷或它们的复合载荷作用下，将溶液与通过其他方法获得的溶液进行比较。将超出临界推力的屈曲与通过幂级数法计算的屈曲进行了比较。本文提出的方法具有收敛范围广，精度高，计算时间短的优点。此外，计算时间几乎与负载的复杂性无关。

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