在纵向压力作用下有初挠度的长矩形板的极限强度和有效宽度

本文应用薄板大挠度理论,对有初挠度的长矩形板在纵向压力作用下的屈曲后行为进行近似分析,推导出计算板的极限强度和有效宽度的理论公式。然后作适当简化,提出了计算板的折减系数的实用公式。该公式与美国海军用的Frankland公式很接近,与驱逐舰的实船破坏试验结果吻合,与国外板的试验结果及F aulkner公式也接近。鉴于我国沿用的苏联船舶结构力学手册中相应公式计算的折减系数值偏高,作者推荐本文提出的实用公式作为我国计算纵骨架式舰体纵向受压板的折减系数的公式。

THE ULTIMATE STRENGTH AND EFFECTIVE WIDTH OF A LONG RECTANGULAR PLATE WITH INITIAL DEFLECTION UNDER UNIAXIAL COMPRESSION

The postbuckling behavior of a long rectangular plate with initial deflection under uniaxial compression is discussed based on the large deflection theory of thin plates. Theoretical formulae far the ultimate strength and effective width of the plate, taking into account the effects of initial deflection and aspect ratio of the plate, are derived. By making some simplifications to the theoretical formulae derived, a practical formula for the reduction coefficient for ship plates is proposed in this paper.The proposed formula is in good agreement with the test results of destroyers "Albuera" and "Bruce" tested to destruction and Frankland's formula which has long been used by U. S. Navy. And it is also close to welded plate test results and Faulkner's formula. It can be concluded that the proposed formula herein is a satisfactory formula for reduction coefficient for ship plates.The reduction coefficient formula used in our country was introduced from theaHandbook of Naval Structural Mechanics"published in Soviet Union. From the comparison made in this paper we can see that this formula is too optimistic for ship plates. The author, therefore, recommends the proposed formula as the working formula for our country for computing the reduction coefficient of plates under uniaxial compression in longitudinally framed ship hulls.