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991.
992.
提出将摄动法和积分方程法联合应用于Pasternak弹性地基上圆板的轴对称大挠度问题。该方法简明、计算量小、结果可靠。 相似文献
993.
994.
首先对薄板弯曲平衡方程的弱形式进行了推导,导出保证单元收敛的弱协调条件,即三角形顶点函数值连续和三边的法向导数积分连续这两个条件;对比拟协调元、广义协调元和双参数法中所使用的3个积分连续条件,本条件更弱;再对这3个积分协调条件的构成方法进行了总结和分析,现有采用积分连续条件构造的有限元大都采用了这些构成方法.采用弱协调条件构造有限元,比原来的构造范围更广,井以此构造出几种单元作为算例.采用这种构成法还可构造多种单元,它们都具有采用最小势能原理法构成有限元的简便的优点,并在任意网格下收敛到真解. 相似文献
995.
Delamination of a symmetric circular plate made of viscoelastic composite is studied. It is assumed that the plate has a penny-shaped crack whose edges have a minor axisymmetric imperfection. The lateral surface of the plate is clamped and is compressed by uniform radial normal forces through a rigid body. The studies are made using the exact geometrically nonlinear equations of the theory of viscoelasticity. The delamination criterion is assumed unrestrained growth of the initial imperfection. The Laplace transform and FEM are employed. In particular cases, the results are compared with those for elastic composites 相似文献
996.
The stress–strain state and local buckling of thin plates with an oblique edge crack are studied. An expression for critical stresses is derived 相似文献
997.
离散的Kirchhoff理论三角形单元对一般壳体结构的分析是十分可靠的和有效的,本文将推广此种单元去分析壳体结构的大位移大应变弹塑性响应,校正的拉格朗日增量的Jaumann应力公式和塑性损伤相耦合的塑性流动本构关系已应用于列式中,在对带环向裂纹和环向槽受四点弯曲载荷的圆醉壳的分析中,显示了和实验结果符合一致,且说明了与塑性损伤相耦合的大应变弹塑性分析无论在宏观水平上或微观水平上都能显示比断裂力学方法更符合实际的结果。 相似文献
998.
LuPin ChenHaibo 《Acta Mechanica Solida Sinica》2005,18(2):130-141
In the present paper, closed form singular solutions for an infinite anisotropic plate with an elliptic hole or crack are derived based on the Stroh-type formalism for the general anisotropic plate. With the solutions, the hoop stresses and hoop moments around the elliptic hole as well as the stress intensity factors at the crack tip under concentrated in-plane stresses and bending moments are obtained. The singular solutions can be used for approximate analysis of an anisotropic plate weakened by a hole or a crack under concentrated forces and moments.They can also be used as fundamental solutions of boundary integral equations in BEM analysis for anisotropic plates with holes or cracks under general force and boundary conditions. 相似文献
999.
According to the basic idea of classical yin-yang complementarity and modern dual-complementarity,in a simple and unified way proposed by Luo(1987),some uncon- ventional Hamilton-type variational principles for dynamics of Reissner sandwich plate can be established systematically.The unconventional Hamilton-type variation principle can fully characterize the initial-boundary-value problem of this dynamics.In this pa- per,an important integral relation is given,which can be considered as the generalized principle of virtual work in mechanics.Based on this relation,it is possible not only to obtain the principle of virtual work in dynamics of Reissner sandwich plate,but also to derive systematically the complementary functionals for five-field,two-field and one-field unconventional Hamilton-type variational principles by the generalized Legender trans- formations.Furthermore,with this approach,the intrinsic relationship among the various principles can be explained clearly. 相似文献
1000.
A semi-analytical and semi-numerical method is proposed for the dynamic analysis of foundations. The Lamb's solution and the approximate formulae were used to establish the relation of the contact force and deflection between the foundation and soil. Therefore, the foundation can be separated from soil and analyzed by FEM as for the static cases. The plate can be treated as that the known forces are acting on the upper surface, and the contact pressure from soil can be represented as the deflection. So that only the plate needs to be divided into elements in the analysis. By this method, a series of vibration problems, including various shapes and rigidities of foundations, different excitation frequencies, were analyzed. Furthermore, it can be used for the embedded foundation. The numerical examples show that this method has simplicity, highly accurate and versatile. It is an effective method for the dynamic analysis of foundations. 相似文献