Numerical simulation of the nonlinear response of composite plates under combined thermal and acoustic loading
Numerical simulation of the nonlinear response of composite plates under combined thermal and acoustic loading
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DOI：
10.25777/wjpj-n563
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
C. Mei;J. Moorthy
中科院分区：
文献类型：
--
作者：
C. Mei;J. Moorthy
对层合板在声热联合载荷作用下的随机响应进行了时域研究。该问题的特点还包括给定面内均布静力。该公式考虑了板材平面度可能存在的初始缺陷。高分贝的声压级和沿厚度的高温度梯度将板的响应推向非线性区域。这就要求分析采用von Karman大挠度应变-位移关系。将von Karman应变与一阶剪切变形板理论相结合，建立了有限元模型。分析模型的发展可以适应由均匀厚的正交各向异性、线弹性层合板组成的各向异性复合材料层合板。然后，将整体有限元方程组简化为振型方程组。然后在时间域内采用单步算法进行数值模拟，以求取振型坐标。用牛顿-拉夫森方法求解每个时间步长内的非线性代数方程。利用蒙特卡罗模拟产生随机高斯滤波白噪声负载。平板上的声压分布能够解释掠入射波前。文中给出了各种情况下的数值结果。
A time-domain study of the random response of a laminated plate subjected to combined acoustic and thermal loads is carried out. The features of this problem also include given uniform static inplane forces. The formulation takes into consideration a possible initial imperfection in the flatness of the plate. High decibel sound pressure levels along with high thermal gradients across thickness drive the plate response into nonlinear regimes. This calls for the analysis to use von Karman large deflection strain-displacement relationships. A finite element model that combines the von Karman strains with the first-order shear deformation plate theory is developed. The development of the analytical model can accommodate an anisotropic composite laminate built up of uniformly thick layers of orthotropic, linearly elastic laminae. The global system of finite element equations is then reduced to a modal system of equations. Numerical simulation using a single-step algorithm in the time-domain is then carried out to solve for the modal coordinates. Nonlinear algebraic equations within each time-step are solved by the Newton-Raphson method. The random gaussian filtered white noise load is generated using Monte Carlo simulation. The acoustic pressure distribution over the plate is capable of accounting for a grazing incidence wavefront. Numerical results are presented to study a variety of cases.