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41.
基于von Karman板理论,利用三分区模型,建立了在面内压力和横向荷载联合作用下具脱层的轴对称正交层合圆板的非线性运动微分方程,其中,考虑了横向剪切效应和脱层接触效应.在此基础上,利用正交配点法进行了求解,并着重讨论了脱层之间的接触效应对结构非线性动力响应的影响. 相似文献
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The delamination growth may occur in delaminated cylindrical shells under external pressure.This will lead to failure of structure.By using the variational principle of moving boundary and considering the contact effect between delamination regions,in this work,the delamination growth was investigated for cylindrical shells under the action of external pressure.At the same time,according to the Griffith criterion,the formulas of energy release rate along the delamination front were obtained.In the numerical calculation,the delamination growth of axisymmetrical laminated cylindrical shells was analyzed,and the effects of delamination sizes and depths,the geometrical parameters, the material properties,and the laminate stacking sequences on delamination growth were discussed. 相似文献
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XIAO Yong-gang 《应用数学和力学(英文版)》2005,26(8):963-972
IntroductionThe moderate thickness plates on elastic foundation are a kind of important structure instructural engineering. The mechanic characters of the plates on elastic foundation withdifferent boundary conditions have been received considerable atten… 相似文献
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基于经典屈曲理论,研究了轴向受压黏弹性复合材料层合圆柱壳的临界屈曲载荷.
利用Boltzmann线性积分型本构关系描述铺设单层的各向异性黏弹性行为. 结合解析与数值
方法,由Donnell型屈曲控制方程以及边界条件的Laplace变换导出相空间的特征方程,根
据Laplace逆变换的极值定理,获得层合圆柱壳的瞬时弹性临界载荷与持久临界载荷. 针对
多组铺设方式,通过数值算例重点分析了临界载荷随铺设角的变化特征,两种临界载荷的峰
值点差异程度与铺设方式、几何参数以及材料类型的关系,得到了一些对黏弹性层合圆柱壳
的优化设计有参考价值的结论. 相似文献
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Based on the elasto-plastic theory, considering the effect of spherical stress tensor on the elasto-plastic deformation and using the slicing treatment to deal with the plasticity of functionally graded coatings, the elasto-plastic increment constitutive equations of the sandwich plates with functionally graded metal-metal face sheets can be derived. Applying the weak bonded theory to the interfacial constitutive relation and taking into account the geometric nonlinearity, the nonlinear increment differential equilibrium equations of the sandwich plates with functionally graded metal-metal face sheets are obtained by the minimum potential energy principle. The finite difference method and the iterative method are used to obtain the post-buckling path. When the effect of geometrical nonlinearity of the plate is ignored, the elasto-plastic critical buckling load of the sandwich plates with functionally graded metal-metal face sheets can be solved by the Galerkin method and the iterative method. In the numerical examples, the effects of the interface damages, the induced load ratio, the functionally graded index, and the geometry parameters on the elasto-plastic post-buckling path and the elasto-plastic critical buckling load are investigated. 相似文献
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基于各向同性中厚板理论,考虑板的非线性效应和地基耦合效应.应用Hamilton变分原理,建立了双参数地基上周边自由中厚矩形板的非线性运动控制方程,提出了一组满足问题全部边界条件的试函数。应用伽辽金法和谐波平衡法对方程进行求解。讨论了板的结构参数和地基的物理参数对弹性地基上周边自由中厚矩形板的非线性自由振动特性的影响。 相似文献
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基于Von Karman板理论,应用三分区模型,建立了考虑横向剪切效应时具任意脱层的正交对称铺设轴对称层合圆板在径向压力荷载作用下的非线性运动微分方程。对未知变量在空间上采用Bessel函数,应用Galerkin法,得到无量纲的仅关于时间函数的运动微分方程,并应用谐波平衡法对此方程进行求解,算例中讨论了不同脱层半径、脱层深度对具脱层的正交对称铺设轴对称层合圆板非线性幅频响应的影响。 相似文献
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含基体横向损伤的黏弹性板的蠕变后屈曲分析 总被引:2,自引:0,他引:2
基于Schapery三维黏弹性损伤本构关系,引入沈为和Kachanov损伤演化方程,建立了基体横向损伤的纤维单一方向铺设黏弹性板的损伤模型;应用von Karman板理论,导出了考虑损伤效应的具初始挠度的纤维单一方向铺设黏弹性矩形板的非线性压屈平衡方程. 对未知变量在空间上采用差分法离散,时间上采用增量算法和Newton-Cotes积分法离散,控制方程被迭代求解. 算例中讨论了损伤以及有关参数对黏弹性复合材料板后屈曲行为的影响,且与已有文献的结果进行了比较. 数值结果表明:随着外载荷或者初始挠度的增大,板后屈曲趋于稳定时的挠度就愈大,损伤的影响愈明显;而随着长宽比的增大,板后屈曲趋于稳定时的挠度愈小,损伤的影响却随之增大. 相似文献