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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
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研究静载荷作用下夹层圆板的超谐波共振问题.基于Hoff型夹层板理论,给出了静载荷作用下夹层圆板的非线性动力学方程.应用Galerkin法推导了静载荷作用下夹层圆板的轴对称非线性振动方程.运用多尺度法分别对系统的三次超谐波问题和二次超谐波问题进行了求解,并依据Lyapunov稳定性理论得到了系统稳态运动的稳定性判据.通过算例,得到了周边简支约束下夹层圆板三次超谐波共振和二次超谐波共振的幅频响应曲线图、振幅-静载荷响应曲线图、振幅-激励力幅值响应曲线图;研究了不同参数对系统振幅的影响规律,并对解的稳定性进行了分析. 相似文献
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An in-depth stress analysis of a piezoceramic plate is carried out using complex-variable theory and an experimental method. The first eight modes in the spectrum of planar vibrations of the rectangular piezoceramic transformer are identified. It is particularly established that the transformation ratios in the first and second and in the third and sixth longitudinal modes are practically equal 相似文献
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针对磁场中旋转运动圆板,在动能、应变能表达式基础上,根据哈密顿原理导出圆板的磁弹性振动方程.应用伽辽金积分法,得到横向磁场中旋转变速运动圆板的轴对称参数振动微分方程.通过坐标变换得到包含两个变系数项的马蒂厄振动方程.应用弗洛凯理论和平均法对系统的参数振动问题进行求解.通过数值计算得到周期稳定图、对应的振动响应特性图和相轨迹图.结果表明:在稳定区域内,系统的幅频曲线呈现为周期或概周期变化形式;在不稳定区内,系统的幅频响应曲线呈现为发散变化形式. 相似文献
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V. L. Karlash 《International Applied Mechanics》2002,38(5):617-622
We analyze the relations obtained earlier for the displacements and stresses components over a wide frequency range and derive expressions for the input admittance of a two-section planar transverse–longitudinal piezotransformer. 相似文献
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多圆孔圆板问题的数值解 总被引:3,自引:0,他引:3
提出了一种求解多圆孔圆板问题的新方法。首先引入了基本特解,它由主要部分和附加部分组成。主要部分为带奇点无限平板的一个特殊弹性力学解,奇点取在内圆孔的中心处。附加部分为实心圆饭的一个特解。整个基本特解满足外圆周界为自由条件。文中把待求解取为特解系的形式,其中待定系数可用变分原理得出。最后给出了算例。 相似文献
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V. V. Sil'vestrov A. Yu. Zemlyanova 《Journal of Applied Mechanics and Technical Physics》2004,45(4):605-611
The stressed state of a thin elastic infinite plate with a circular hole covered by a circular patch of a greater radius is considered. The center of the hole coincides with the center of the patch. The patch is attached to the plate along its entire boundary. Stresses are prescribed at infinity on the plate and at the hole boundary. Complex Muskhelishvili potentials are found by the method of power series, and the behavior of stresses on the patch–plate interface and at the hole boundary is studied. 相似文献
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The stability of hypersonic viscous gas flow in a shock layer in the neighborhood of a flat plate is considered. The stability of the velocity, temperature, density, and pressure profiles calculated on the basis of the complete viscous shock layer equations is investigated within the framework of the linear stability theory with allowance for the shock wave relations. The calculated perturbation growth rates and phase velocities are compared with the experimental data obtained by means of electron-beam fluorescence. 相似文献
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本文用有限差分法对在轴对称荷载作用下的圆形折板壳屋盖进行静力分析,得到沿壳体径向内力。然后按GB110-89进行配筋及裂缝宽度、刚度计算。用BASIC语言,在SHARP PC-1500上实现。 相似文献
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本文用三维弹性动力学理论研究厚圆板在柱面约束u=τrz=0下的轴对称自由振动问题,给出位移和应力振型的解析表达式,求得固有频率的精确值。研究结果表明:在板的厚度方向存在着不同半波数的反对称形式和对称形式的位移振型,就是说介质之间在厚度方向具有不同的运动形式,这是各种厚板理论都无法反映的。但是对于圆板的轴对称基本振动来说,Hencky、Reissner和Mindlin理论求得的固有频率与本文的弹性动 相似文献
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Analytical solutions of the creep and stress-relaxation boundary-value problems of a plate loaded externally along the contour of a circular hole are obtained using an unsteady creep model based on nonclassical representations for elastic and viscous properties of materials. It is assumed that one force component and one displacement component are specified at the boundary.__________Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 4, pp. 146–153, July– August, 2005. 相似文献
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A plane stability problem for an isotropic plate with a central crack is solved exactly. The plate is hinged and compressed along the crack by a surface load of constant intensity. An approximate solution is found using the mesh approach. The effect of the mechanical and geometric characteristics of the plate on the behavior of the critical factors is studied 相似文献
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圆板振子超谐分岔和混沌运动的实验研究 总被引:9,自引:0,他引:9
设计了非线性圆板混沌实验振动台,就轴对称圆板在简谐载荷作用下的非线性动力学行为进行了较为系统的实验研究,理论分析和数值计算,对基础作简谐运动,周边固支圆板,进行了实验。通过测量时间-中心挠度的加速度曲线,进行快速傅立叶变换(FFT)分析,实验发现了对称破缺,超谐分岔,调幅调相等复杂现象;对基础作简谐运动,周边固支,中心加质量块的圆板,进行了实验,通过测量时间-周边应变曲线,进行FFT分析,实验发现了混沌,对称破缺和恢复及超谐分岔等复杂动力学行为。 相似文献
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基于Kirchhoff薄板理论与哈密顿原理,建立旋转运动导电圆板的磁-气动弹性非线性动力学方程.根据电磁场基本原理得到旋转运动圆板所受电磁力表达式,同时采用一种简化的气动模型以描述作用于板上的气动载荷.基于贝塞尔函数形式振型函数的选取,应用伽辽金法得到旋转圆板的磁气动弹性轴对称非线性振动微分方程.应用多尺度法推导出主共振下系统的幅频响应方程,并依据Lyapunov方法得到系统稳态运动稳定性判据.通过算例,得到周边夹之约束下圆板主共振的幅频特性曲线图,以及振幅随磁感应强度和激励力幅值的变化曲线图;阐述了不同参数对系统共振幅值的影响规律,并对解的稳定性进行了分析. 相似文献