萤火虫算法求解多体系统动力学微分-代数方程
作者:
作者单位:

1.青岛大学 数学与统计学院,青岛 266071;2.青岛大学 计算力学与工程仿真研究中心,青岛 266071

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E-mail: djy@qdu.edu.cn

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基金项目:

国家自然科学基金资助项目(11772166,11472143)


FIREFLY ALGORITHM FOR MULTI-BODY SYSTEM DYNAMICS DIFFERENTIAL-ALGEBRAIC EQUATIONS
Author:
Affiliation:

1.School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China;2.Center for Computational Mechanics and Engineering Simulation, Qingdao University, Qingdao 266071, China

Fund Project:

The project supported by the National Natural Science Foundation of China(11772166,11472143)

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    摘要:

    针对多体系统动力学微分-代数方程求解问题,研究基于萤火虫算法的求解方法. 首先将广义坐标和广义速度进行Lagrange插值,结合Gauss数值积分方法,将微分-代数方程求解问题转化成求解最优化问题.然后用萤火虫算法对问题进行优化求解.最后,通过对平面双连杆机械臂的多体系统仿真实验,验证了萤火虫算法在求解动力学方程中既保持了约束又较好地保证了能量精度.结果表明智能优化算法在求解多体动力学问题上具有较好的应用前景.

    Abstract:

    To solve the differential algebraic equations of multibody system dynamics, a method based on firefly algorithm is studied. Firstly, the generalized coordinates and generalized velocities are interpolated by Lagrange interpolation algorithm, and the differential algebraic equations are then transformed into optimization problems by the Gauss numerical integration method. Then the firefly algorithm is employed to solve the problem. Finally, through simulating the plane double link manipulator, it is verified that the firefly algorithm not only keeps consistent with the constraints but also ensures the energy accuracy in solving the dynamic equation. The results show that the intelligent optimization algorithm has a good application prospect in solving multibody dynamics problems.

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引用本文

张笑笑,丁洁玉.萤火虫算法求解多体系统动力学微分-代数方程[J].动力学与控制学报,2021,19(2):85~90; Zhang Xiaoxiao, Ding Jieyu. FIREFLY ALGORITHM FOR MULTI-BODY SYSTEM DYNAMICS DIFFERENTIAL-ALGEBRAIC EQUATIONS[J]. Journal of Dynamics and Control,2021,19(2):85-90.

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历史
  • 收稿日期:2019-11-05
  • 最后修改日期:2019-12-17
  • 录用日期:
  • 在线发布日期: 2021-04-28
  • 出版日期: 2021-04-20

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