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采用有限差分方法求解固体弹性应力场(英文)
引用本文:郭兆元,王强,王松涛,冯国泰.采用有限差分方法求解固体弹性应力场(英文)[J].科学技术与工程,2009,9(15).
作者姓名:郭兆元  王强  王松涛  冯国泰
作者单位:哈尔滨工业大学推进理论与技术研究所,哈尔滨,150001
摘    要:为了采用全有限差分方法进行涡轮气热弹耦合计算,研究了固体弹性应力场计算的物理模型,给出了任意曲线坐标系下的控制方程.同时研究了定常问题的有限差分求解方法和边界条件的给定,编制了定常问题的应力场求解程序;并通过对具有解析解的受集中载荷的悬臂梁和一端受径向集中力的曲梁进行数值计算来验证该固体弹性应力场的求解方法.结果表明,边界条件的二阶精度处理的格式所得结果与解析解数据吻合得较好,而一阶精度格式结果与解析解有较大的误差.

关 键 词:气热弹耦合  弹性应力场  有限差分  验证

Calculation of the Solid-elastic Stress Field with the Finite Difference Method
GUO Zhao-yuan,WANG Qiang,WANG Song-tao,FENG Guo-tai.Calculation of the Solid-elastic Stress Field with the Finite Difference Method[J].Science Technology and Engineering,2009,9(15).
Authors:GUO Zhao-yuan  WANG Qiang  WANG Song-tao  FENG Guo-tai
Institution:School of Energy Science and Engineering;Harbin Institute of Technology;Harbin 150001;P.R.China
Abstract:In order to investigate the conjugated calculation of fluid-thermal-elasticity in turbine engine with the full finite difference method. The physics model of solid-elasticity for numerical simulation is studied. The governing equation in curvilinear coordinate system is derived. The finite difference method and the boundary condition under steady-state conditions are investigated. And the code to solve stress field under steady-state conditions is programmed. The cantilever girder with a uniformity load and...
Keywords:conjugated  calculation  of  fluid-thermal-elasticity  stress  field  of  elastic  the  finite  difference  method  validation
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