共查询到14条相似文献,搜索用时 78 毫秒
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本文建立一种板的应力杂交有限条,用于求解简支矩形板。在有限条列式中,条内假设应力场,并使其满足平衡方程。在条间假设位移场。对简支矩形板的数字算例表明,这种方法是可行的,并能较快地逼近准确解。 相似文献
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针对横向恒定磁场中一边固定三边简支的导电矩形薄板,研究1∶3内共振条件下系统发生超谐波共振时的动力学响应。利用伽辽金法得到两自由度非线性振动微分方程组,并通过数值计算得到系统发生超谐-内联合共振时前两阶模态的响应图。结果表明,内共振的存在使得高阶模态被间接激发,不同参数下系统呈现出混沌、概周期运动等复杂动力学响应,可以通过调节磁场强度控制系统振动。 相似文献
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宋玉娥 《北京工业职业技术学院学报》2008,7(4):6-10
研究了各向同性不可压超弹性材料球体在表面均匀拉伸死载荷作用下的空穴分岔问题,得到了描述球体内部的空穴生成和增长的空穴分岔方程,证明了空穴分岔方程的平凡解支上存在唯一的分岔点,并给出了分岔的辨别条件;利用奇点理论给出了空穴分岔方程在分岔点的等价正规形,并利用最小势能原理讨论了空穴分岔方程的稳定性。 相似文献
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The finite deformation and stress analyses for a rectangular plate with a center void and center void and made of rubber with the Yeoh elastic strain energy function under uniaxial extension were studied in this paper.An approximation solution was botained from the minimum potential energy principle.The num,erical results for the growth of the cavitation and stresses along the edge of the cavitation were discussed.In addition,the stress concentration phenomenon was considered. 相似文献
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The thermal behavior of a thick transversely isotropic FGM rectangular plate was investigated within the scope of three-dimensional
elasticity. Noticing many FGMs may have temperature-dependent properties, the material constants were further considered as
functions of temperature. A solution method based on state-space formulations with a laminate approximate model was proposed.
For a thin plate, the method was clarified by comparison with the thin plate theory. The influences of material inhomogeneity
and temperature-dependent characteristics were finally discussed, through numerical examples.
Project (No. 10002016) supported by National Natural Science Foundation of China 相似文献
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INTRODUCTIONAsknown ,thermalbehaviorsofstructuresmustbeconsideredinmanysituations.Studyofthermaleffectondeformationsandstressesof 相似文献
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A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito? stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method. 相似文献
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Finite element models were established to analyze the influence of soft filler on stress concentration for a rectangular plate with an elliptic hole in the center. The influence was quantified by means of stress concentration factor (SCF). Seven shape factors of the elliptic hole and three levels of elasticity modulus of the soft filler were considered. The reduction coefficient and sensitivity index of SCF are the two indicators in evaluating the influence of soft filler. It was found that the reduction coefficient of SCF increases significantly as the shape factor and the elasticity modulus of the filler increase, indicating that soft filler can reduce the concentrated stress effectively, especially when the shape factor is great. Analysis for the sensitivity index of SCF indicates that SCF is more sensitive to materials with small elasticity modulus than to materials with large one. 相似文献
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建立了稳态热传导问题的有限差分方程,编写了相应的温度场差分计算程序,借此可求得不同恒温边界条件下带内热源的矩形区域内的温度分布,然后采用计算机图形学原理编写了图形显示程序,并将所得离散的温度分布数据转化为相应的图形.最后,基于所得计算图形讨论了相应区域内的热传导特性. 相似文献
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采用双参数法构造了一个新的十二参矩形元,并对其收敛性进行了分析;同时把该元与著名的Adini元作了比较. 相似文献
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付宝连 《邢台职业技术学院学报》2003,20(1):1-10
本文建立了弹性力学空间问题混合变量的最小势能原理和最小余能原理,并根据该最小势能原理给出了弯曲薄板混合变量的最小势能原理。应用该势能原理计算了一复杂边界条件矩形板的弯曲。 相似文献
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We studied the problem of bifurcation and chaos in a 4-side fixed rectangular thin plate in electromagnetic and mechanical fields. Based on the basic nonlinear electro-magneto-elastic motion equations for a rectangular thin plate and the expressions of electromagnetic forces, the vibration equations are derived for the mechanical loading in a steady transverse magnetic field. Using the Melnikov function method, the criteria are obtained for chaos motion to exist as demonstrated by the Smale horseshoe mapping. The vibration equations are solved numerically by a fourth-order Runge-Kutta method. Its bifurcation diagram, Lyapunov exponent diagram, displacement wave diagram, phase diagram and Poincare section diagram are obtained. 相似文献