| 具有相关约束多体动力学Euler—Lagrange方程：问题和数值方法 |
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| 引用本文： | 赵维加,潘振宽. 具有相关约束多体动力学Euler—Lagrange方程：问题和数值方法[J]. 青岛大学学报(自然科学版), 2001, 14(3): 1-8 |
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| 作者姓名： | 赵维加 潘振宽 |
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| 作者单位： | 1. 青岛大学数学系
2. 青岛大学信息工程学院,青岛,266071 |
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| 摘 要： | 本文探讨了相关约束移体动力学Euler-Lagrange方程的求解问题。在分析相关约束问题数值计算的实际意义和有关理论的基础上，给出了一类数值计算方法。算法在增加的计算量不大的情况下，把过去只能计算满秩约束的算法推广到约束不满秩的情况。
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| 关 键 词： | 多体系统动力 Euler－Lagrange方程 相关约束 数值方法 约束不满秩 满次约束 |
MULTIBODY SYSTEM WITHDEPENDENT CONSTRAINTS: THE PROBLEM AND NUMERICAL METHODS |
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| Abstract. MULTIBODY SYSTEM WITHDEPENDENT CONSTRAINTS: THE PROBLEM AND NUMERICAL METHODS[J]. Journal of Qingdao University(Natural Science Edition), 2001, 14(3): 1-8 |
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| Authors: | Abstract |
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| Abstract: | In this paper, the Euler-Lagrange equation system with dependent constraints is discussed and a new numerical method is raised to deal with the problem. The new method, though requiring little additional computation, can deal with the problems with dependent constraints as well as those with independent onesSome theorems and numerical examples are given in this paper to verify the correctness and efficiency of the method. |
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| Keywords: | Multibody system Dynamics the Euler-Lagrange Equation Dependent Constraint Numerical Method. |
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