多体系统动力学Euler-Lagrange方程的非线性规划方法

详细信息

NONLINEAR PROGRAMMING METHOD FOR THE EULER- LAGRANGE EQUATIONS IN MULTIBODY SYSTEM DYNAMICS

摘要: 对多体系统动力学Euler-Lagrange方程,建立了约束非线性规划模型及相应的非线性规划问题的约束变尺度法。该方法有效地克服了积分过程的违约问题,通用性强,易于程序化。算例说明了方法的有效性。
- 多体系统 /
- Euler－Lagrange方程 /
- 微分/代数方程组 /
- 约束非线性规划
Abstract: A constrained variable metric method for solving Euler-Lagrange equations in multibody system dynamics was preseod. The framework was based on the conversion of the equations into a nonlinear programming problem. The algorithm overcomes effectively the problem of violating constraints in integral procedure. It is versatile and suitable for computerization. Numerical examples show that algorithm is numerically efficient.
- multibody systems /
- Euler-Lagrang equations /
- differential-algebraic equations /
- constrained nonlinear propramming