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Stochastic dynamic analysis of composite plate with random temperature increment

机译：温度随机升高的复合材料板的随机动力学分析。

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During the service life, laminated composites may be subject to some random thermal environment. Quantification of the uncertainty in static and dynamic response of the composites under such condition is still a challenging issue. This work presents a stochastic dynamic response analysis of a graphite-epoxy composite plate using generalized polynomial chaos (gPC) expansion due to random mean temperature increment. A stochastic finite element method (SFEM) based on the first-order shear deformation theory (FSDT) is used to describe the free and forced vibration response of the graphite-epoxy composite plate under a uniform distribution of the temperature throughout the plate. Newmark's time integration scheme is used to predict the time-dependent displacement response under dynamic loading. The collocation-based non-intrusive gPC expansion method is used for stochastic dynamic analysis of the graphite-epoxy composite plate. The increment in the temperature is considered as an uncertain parameter and presented by the truncated gPC expansion. The stochastic system response of the plate is projected to the deterministic solver by using the stochastic Galerkin method. The statistical response of eigen frequencies and dynamic displacements of the composite plate at incremental random mean temperature are investigated, and are compared with the results of the Monte Carlo simulation. The numerical studies show a reduction in amplitude of the dynamic mean displacements with the increment in the time and it increases with the increment in the random mean temperature. The characteristics of loading have also significantly influenced the uncertainty in the time-dependent displacement response.
机译：在使用寿命期间，层压复合材料可能会受到某些随机热环境的影响。在这种条件下对复合材料静态和动态响应的不确定性进行量化仍然是一个具有挑战性的问题。这项工作提出了一种石墨-环氧复合材料板的随机动态响应分析，该分析使用由于随机平均温度升高而导致的广义多项式混沌（gPC）扩展。基于一阶剪切变形理论（FSDT）的随机有限元方法（SFEM）用于描述在整个板温度均匀分布的情况下石墨-环氧树脂复合板的自由振动和强迫振动响应。 Newmark的时间积分方案用于预测动态载荷下与时间有关的位移响应。基于搭配的非侵入式gPC展开方法用于石墨-环氧复合材料板的随机动力学分析。温度的增加被认为是不确定的参数，并由截短的gPC膨胀表示。使用随机Galerkin方法将板的随机系统响应投影到确定性求解器。研究了特征频率和复合板在增加的随机平均温度下的动态位移的统计响应，并将其与蒙特卡洛模拟的结果进行了比较。数值研究表明，动态平均位移的幅度随时间的增加而减小，随随机平均温度的增加而增加。载荷的特性也极大地影响了随时间变化的位移响应中的不确定性。

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