【摘要】 引入状态空间理论,并在时域内应用差分格式,建立了一维杆热耦合问题的状态方程,分析了一维杆纵向热弹性动力响应的瞬态过程。杆的温度和力学边界条件在状态方程的求解过程中能够得到严格满足。算例表明,本文方法可以方便地计算和显示温度场和弹性场的瞬变过程,且收敛于最终的稳态结果。因此,用本文方法分析瞬态温度应力问题是非常有效性的。更多还原

【Abstract】 The state space theory is introduced and difference scheme in time domain is applied to establish the state equation for thermal-coupled problem of one dimensional bar and the transient process of thermal dynamic elastic response is analyzed.The temperature and mechanical boundary conditions of the bar can be satisfied exactly in the solving process of the state equation.Numerical examples illustrate that the present method can calculate and show the transient varying process easily for the temperature and mechanical fields and the results are approaching to their final stable values.Hence,the present method is efficient in the analysis of transient thermal stress.Furthermore,the present method can be extended to analyze the transient coupling thermal stress of various 2D or 3D composite laminated structures.更多还原