Since the arc - length method can be used to calculate the critical load in engineering stability analysis , the method is discussed and applied in this thesis . four numerical examples are presented to show the good performance of the proposed numerical procedure 由于弧长法可以计算出临界状态的荷载值，因此本文在计算中讨论了弧长控制法的基本原理及具体实施，并应用于工程稳定性分析。
By the use of dynamic buckling supplementary restraint conditions at the compression wave front of cylindrical shells at the instant when the buckling occurs , the critical load and dynamic buckling modes of shells were calculated from the solutions of finite element characteristic equations 计算结果揭示了圆柱壳弹性轴对称动力屈曲变形发展的机理，以及轴向应力波和屈曲变形的相互作用规律。
Compared with the condition of the two - dimensional stress state , the influence of all the parameters to the results of the formulas of the critical edge load and critical load in the condition of the three - dimensional stress state is analyzed in the end of this paper 并通过实际的算例详细的分析了临塑荷载、临界荷载中各个参数在二维应力状态下和三维应力状态下对计算结果进行了影响程度分析。
In summarizes the predecessor to the segmental arch surface and outside in flexure critical load computational method foundation , with the principle of the minimum potential energy , an analytical solution for the lateral critical bucking load of cable stayed arch bridge is studied 在总结前人对圆弧拱的面内,面外屈曲临界荷载计算方法的基础上,利用能量法,推导了斜拉拱桥的侧倾临界荷载计算公式。
Under action of uniformly or polynomial distributed load , upper and lower critical loads of revolving shells ( including conical shells , spherical shells and quartic polynomial shells ) with uniform thickness , linearly , exponentially or polynomial variable thickness were evaluated 给出了均布或多项式分布荷载作用下，等厚度、线性、指数型或多项式型变厚度的圆锥壳、球壳或四次多项式型旋转壳的上、下临界荷载。
Physical model and research development of scratch test are reviewed in this paper . the physical relationship between critical load lc measured by scratch test , shear strength and adhesion energy exists . the critical load lc can be used to characterize adhesion strength of hard coating 本文总结了划痕试验法的物理模型及研究现状，临界载荷与涂层和基体之间的界面剪切强度和附着功有物理关系，临界载荷能够表征涂层与基体的结合力。
This text discusses the stability of the cable - stayed arch from the theories firstly , it is divided into the in - plane and the out - of - plane to contrast the cable - stayed arch with arch structure of the stable critical load , tallying up the influence of the cables on the stability 本文首先从理论上探讨了斜拉拱结构的稳定性,分成面内和面外两种情况来对比分析了斜拉拱组合结构与拱结构的稳定临界荷载,总结出拉索对稳定性的影响。
Abstract : physical model and research development of scratch test are reviewed in this paper . the physical relationship between critical load lc measured by scratch test , shear strength and adhesion energy exists . the critical load lc can be used to characterize adhesion strength of hard coating 文摘:本文总结了划痕试验法的物理模型及研究现状，临界载荷与涂层和基体之间的界面剪切强度和附着功有物理关系，临界载荷能够表征涂层与基体的结合力。
In the small deflection theory , by buckling analysis , the classical buckling critical load of integrative braid composite cylindrical shells under axial compression is get . according to the experience and the results of fem , a revised formula for calculating buckling critical load is presented 在小挠度理论中，通过前屈曲分析得到了完善的编织复合材料圆柱壳在轴压情况下的经典屈曲临界载荷，根据经验及有限元计算结果，提出了计算屈曲临界荷载的修正公式。
The formulas of the critical edge load and critical load are expanded from the two - dimensional stress state to the three - dimensional stress state by using smp ( matsuoka - nakai ) strength criterion to substitute for mohr - coulomb strength criterion , and the new formulas are proposed in chapter three 本文将临塑荷载、临界荷载计算公式扩展到三维应力状态，应用smp (松岗?中井)强度准则替代莫尔?库仑强度准则，推导了三维应力状态下的临塑荷载、临界荷载计算公式。
