| 凝聚函数法求解粘弹性本构参数及温度场联合辨识问题 |
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| 引用本文： | 杨海天,阎军,李兴斯.凝聚函数法求解粘弹性本构参数及温度场联合辨识问题[J].工程力学,2003,20(2):100-106. |
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| 作者姓名： | 杨海天 阎军 李兴斯 |
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| 作者单位： | 大连理工大学工程力学系,工业装备结构分析国家重点实验室,辽宁,大连,116024 |
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| 基金项目： | 国家自然科学基金项目(10172024)，国家重点基金(10032030)，973项目NKBRSF(G1999032805)，教育部重点基金(99149)，教育部骨干教师资助计划(2000-65)，归国留学人员启动基金(1999-363)，工业装备结构分析国家重点实验室开放基金(GZ9814) |
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| 摘 要： | 提出利用准静态位移信息对粘弹性本构参数及温度场进行联合识别的求解策略。建立了适于敏度分析的粘弹性与温度场耦合问题的正演数值模型,并将其反演归结为一个带有多个不等式约束的非线性规划问题,采用凝聚函数法将此问题转化为一个可微的单约束优化问题。在此基础上,采用乘子法进行求解,给出了数值验证,探讨了信息误差对反演结果的影响。
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| 关 键 词： | 粘弹性 联合反演 非线性规划 凝聚函数 |
| 文章编号： | 1000-4750(2003)02-100-07 |
COMBINED IDENTIFICATION OF CONSTITUTIVE PARAMETERS OF VISCOELASTICITY AND TEMPERATURE FIELD VIA AGGREGATE FUNCTION APPROACH |
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| YANG Hai-tian,YAN Jun,LI Xing-si.COMBINED IDENTIFICATION OF CONSTITUTIVE PARAMETERS OF VISCOELASTICITY AND TEMPERATURE FIELD VIA AGGREGATE FUNCTION APPROACH[J].Engineering Mechanics,2003,20(2):100-106. |
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| Authors: | YANG Hai-tian YAN Jun LI Xing-si |
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| Abstract: | This paper presents a solution strategy for the combined identification of constitutive parameters of viscoelasticity and temperature field via quasi-static displacements. A numerical model, facilitating to sensitivity analysis, is developed for the solution of direct viscoelasticity problems with temperature field. The corresponding inverse problem is converted into a problem of non-linear programming with multi-constrains of inequality. It can be further converted into an optimization with a single differentiable constraint by exploiting a maximum entropy based on aggregate function method. A technique of multiplier penalty function is used in search of the optimal solution. Numerical results are presented and the effects of both time-independent and time-dependent noise data on the results are discussed. |
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| Keywords: | viscoelasticity combined identification non-linear programming aggregate function |
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