层叠板结构瞬态温度场的灵敏度分析

以每层材料各不相同的层叠板为研究对象,在热传导、对流以及辐射边界条件的共同作用下,采用4节点矩形单元,利用伽辽金法建立了该结构瞬态温度场的有限元微分方程,进而推导出了温度场对任意设计参数的灵敏度表达式。以3层板结构为例,对设计参数的灵敏度进行了仿真。仿真结果表明:灵敏度表达式中存在的公共项在灵敏度变化的时间历程中具有明显的保守作用,且灵敏度的绝对值越高,这种保守作用越强。

Sensitivity analysis of transient thermal field for composite plates

For the composite plates composed of the layers with different materials,considering the heat conduction,convection and radiation boundary conditions,adopting the four-node rectangle element the finite element differential equations for its temperature field were derived by means of Galerkin method,and a general formulation about the sensitivity of the temperature field with respect to each design parameter was accomplished.A three-layer plate being taken as an example,its thermal sensitivities were simulated,and the results showed that the common part in the formulation has an obvious inertial effect in the sensitivity history,and the bigger the sensitivity absolute value is, the greater the inertial effect.