| 三维粘弹性大变形动力响应分析 |
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| 引用本文： | 王本华,张戈.三维粘弹性大变形动力响应分析[J].推进技术,1994,15(3):21-27. |
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| 作者姓名： | 王本华 张戈 |
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| 作者单位： | 西北工业大学航天工程学院 |
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| 摘 要： | 将大变形增量问题的Ｔｏｔａｌ Ｌａｇｒａｎｇｉａｎ法应用于粘弹性结构的动力响应分析，利用Ｐｒｏｎｇ级数导的Ｋｉｒｃｈｈｏｆｆ应力和Ｇｒｅｅｎ应变表示的粘弹性积分型增量本构方程及其递推公式，从而给出一种计算三维粘弹性大变形动力响应的有限元增量迭加方法，经算例验证，所述方法及其相应程序具有机器内存少、计算量小和效率高的优点。
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| 关 键 词： | 粘弹性 应力应变关系 有限元法 |
AN ANALYSIS ON DYNAMIC RESPONSE IN THREE DIMENSIONAL VISCOELASTIC LARGE DEFORMATION |
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| Wang Benhua and Zhang Ge.AN ANALYSIS ON DYNAMIC RESPONSE IN THREE DIMENSIONAL VISCOELASTIC LARGE DEFORMATION[J].Journal of Propulsion Technology,1994,15(3):21-27. |
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| Authors: | Wang Benhua and Zhang Ge |
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| Abstract: | The Total-Lagrangian approach of large deformation increment is used in dynamic response analysis of viscoelastic structures. The viscoelastic integral constitutive relation and a recurrence formula denoted by the Kirchhoff stress-Green strain are derivid from Prony series on incremental form. A finite element incremental superposition method for dynamic response of three dimensional viscoelastic large deformation is given. It is proved by examples that the approach given in this paper has some advantages in decreasing computer storage and calculation amount, and increasing calculation efficiency. |
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| Keywords: | Viscoelasticity Stress-Strain relationship Stress computation Finite element method Dynamic response Solid propellant |
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