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以随机参数梁为研究对象,分析其在温度载荷和力载荷共同作用并考虑热弹耦合关系时的动力响应。建立了热弹耦合动力学有限元模型,给出了在时间域内差分离散、相互交替迭代的耦合计算方法。利用随机因子法推导了结构温度场和动力响应的数字特征表达式,其中温度场的求解利用时间积分法,动力响应则利用Newmark-β积分法。在求出结构各时间步温度场和动力响应数字特征的基础上,应用耦合算法获得了整个时间域内的结构响应数字特征。通过悬臂梁算例分析了热弹耦合项对动力响应的影响,并考察了诸随机参数分散性对结构动力响应分散性的影响。
Taking the random parameter beam as the research object, the dynamic response of the beam with the temperature-load and the force-load and considering the thermo-elastic coupling relationship is analyzed. The thermoelastic coupling dynamics finite element model is established, and the coupling calculation method of differential discrete and alternating iteration in the time domain is given. The digital characteristic expressions of the temperature field and the dynamic response of the structure are deduced by stochastic factor method. The time integral method is used to solve the temperature field and the Newmark-β method is used to calculate the dynamic response. Based on the numerical results of the temperature field and the dynamic response of the structure at each time step, the numerical characteristics of the structural response in the whole time domain are obtained by using the coupling algorithm. The influence of the thermoelastic coupling term on the dynamic response is analyzed by an example of a cantilever beam. The influence of the dispersion of random parameters on the dispersion of the dynamic response of the structure is also investigated.