论文部分内容阅读
针对有限元方法求解自由板温度应力存在计算模型复杂、工作量大等问题,以混凝土热传导方程为基础,推导出自由板温度场有限差分格式,并在温度场求解基础上,利用广义虎克定律和自由板特性,推导出自由板温度应力差分公式,并通过实例对自由板温度和应力进行求解。结果表明,差分算法求解自由板温度和应力场与有限元求解结果一致,且效率较高。
The finite element method is used to solve the problem of the temperature stress of the free plate. Computational models are complex and the workload is heavy. Based on the heat conduction equation of the concrete, a finite difference scheme of the temperature field of the free plate is deduced. Based on the solution of the temperature field, And the characteristics of the free plate, derives the differential formula of the temperature stress of the free plate, and solves the temperature and the stress of the free plate through examples. The results show that the difference algorithm solves the free board temperature and stress field consistent with the finite element solution, and the efficiency is high.