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| 摄动边界元法在随温度变化线胀系数反问题中的应用 | |
| 引用本文： | 王元淳,陈富全,关谷壮.摄动边界元法在随温度变化线胀系数反问题中的应用[J].上海交通大学学报,1999,33(10):1217-1219. |
| 作者姓名： | 王元淳 陈富全 关谷壮 |
| 作者单位： | 1. 上海交通大学工程力学系，上海 200030 2. 上海核工程研究设计院，上海 200233 3. 大阪府立大学和大阪电气通信大学日本 |
| 摘 要： | 将摄动法和边界元法相结合求解物性值随温度变化的热弹性问题，先用摄动法将变系数微分方程转化成常系数微分方程，再按边界元法求解．又采用摄动边界元法和卡尔曼滤波，由有限个观察点的位移值，反算出随温度变化的线膨胀系数．算例表明本文方法简便、有效． |
| 关 键 词： | 物性值反问题 摄动边界元法 卡尔曼滤波 变物性 热弹性 |
| 文章编号： | 1006-2467(1999)10-1217-03 |
| 修稿时间： | 1998年12月9日 |
Application of Perturbation-Boundary Element Method in Inverse Problem with Temperature Dependent Thermal Expansion Coefficient |
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| Abstract: | The perturbation method and boundary element method were used to solve the thermoelastic problems with temperature dependent material properties. The differential equations of variable coefficient were changed into the differential equations of constant coefficient by the perturbation method. The boundary element method for solving this problem was proposed. The inverse method is a combination of the perturbation boundary element method and the Kalman filter. The thermal expansion coefficints related to temperature can be concluded by the displacements at observation points. The numerical examples show this method is valid with simplicity. |
| Keywords: | inverse problem of material parameters perturbation boundary element method Kalman filter variable material property thermoelasticity |
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