材料性能不确定弹性基础上层合板的随机热自由振动响应

A. Lal, Mihir V. Tadvi, R. Kumar
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引用次数: 1

摘要

本文研究了弹性基础上的层合板在材料性能不确定的温度荷载作用下的随机自由振动响应。将材料性能建模为独立的基本随机变量。假定所考虑的温度场在板表面上沿板厚呈均匀分布。假定材料的性质与温度无关。基于高阶变形理论,采用C0有限元法推导了基于基频的本征值问题。采用均值中心一阶摄动技术(FOPT)计算所有边简支边界条件下基频的均值和标准导数。分析了地基参数对临界温度的影响。结果已通过独立蒙特卡罗模拟(MCS)和文献中可用的方法进行了验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stochastic Thermal Free Vibration Response of Laminated Composite Plates Resting on Elastic Foundation with Uncertain Material Properties
This study deals with the stochastic free vibration response of a laminated composite plate resting on a elastic foundation subjected to a temperature loading with uncertain material properties. The material properties are modeled as independent basic random variables. The temperature field considered is assumed to be a uniform distribution over the plate surface and through the plate thickness. The material properties are assumed to be independent of temperature. Based on the higher order deformation theory, C0 finite element method is employed to derive the eigen value problems in term of fundamental frequency. A mean-centered first order perturbation technique (FOPT) is adopted to evaluate the mean and standard derivation of the fundamental frequency with all edges simply supported boundary conditions. The effects of foundation parameters on the critical temperature are analyzed. The results have been validated with independent Monte Carlo simulation (MCS) and those available in the literature.
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