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用Total Lagrangian增量有限元法分析固体火箭发动机的应力和变形
引用本文:沈亚鹏,王晓明,梁汉梁.用Total Lagrangian增量有限元法分析固体火箭发动机的应力和变形[J].航空学报,1989,10(7):387-383.
作者姓名:沈亚鹏  王晓明  梁汉梁
作者单位:西安交通大学 (沈亚鹏,王晓明),向阳公司(梁汉梁)
摘    要: 在文献1]中,作者分析了固体火箭发动机在各种工况下的应力和变形,但主要结果都是在药柱小变形假设下得到的。随后作者从一般连续介质力学的原理出发,采用Updated Lagrangian法(简写U.L.)求解二维、三维粘弹性的大变形问题。

关 键 词:Total-Lagrangian法  粘弹性  固体火箭发动机  
收稿时间:1988-08-02;

THE ANALYSIS FOR STRESS AND DEFORMATION OF SOLID ROCKET ENGINE BY USING THE TOTAL-LAGRANGIAN INCREMENTAL FINITE ELEMENT METHOD
Xian Jiaotong University Shen Yapeng and Wang Xiaoming Xiangyang Company Liang Hanliang.THE ANALYSIS FOR STRESS AND DEFORMATION OF SOLID ROCKET ENGINE BY USING THE TOTAL-LAGRANGIAN INCREMENTAL FINITE ELEMENT METHOD[J].Acta Aeronautica et Astronautica Sinica,1989,10(7):387-383.
Authors:Xian Jiaotong University Shen Yapeng and Wang Xiaoming Xiangyang Company Liang Hanliang
Institution:Xian Jiaotong University Shen Yapeng and Wang Xiaoming Xiangyang Company Liang Hanliang
Abstract:Using the Virtual work principle of Total-Lagrangian approach and constitutive relation represented by Kirchhoff stress tensors and Green strain tensors, the finite element formulations for three-dimensional viscoelastic large deformation stress analysis are derived. Compared with Updated-Lagrangian approach, the continued equilibrium equation is rather simple and modifying the nodal coordinates after every increment step can be avoided. By use of these equations the stress and deformation of solid rocket engine under pressure are calculated in detail.
Keywords:Total-Lagrangian approach  viscoelasticity  solid rocket engine  
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