含分数阻尼特性元件的多体系统动力学研究

武汉华中科技大学国家CAD软件工程技术研究中心, 430074武汉中科技大学国家CAD软件工程技术研究中心, 430074武汉中科技大学国家CAD软件工程技术研究中心, 430074武汉中科技大学国家CAD软件工程技术研究中心, 430074

Dynamics research on the multibody system with fractional-derivative-damper

摘要: 在绝对节点坐标体系下研究了具有分数导数阻尼特性元件的多体系统动力学建模、求解问题. 采用基于绝对节点坐标的无闭锁效应剪变梁单元离散柔性构件，建立了含常数质量矩阵的系统动力学方程, 并采用数值耗散可控的广义a方法求解. 通过数值算例计算，对比研究了算法参数与阻尼项的分数指数对系统动力学响应的影响规律.该方法可以进一步扩展到众多工程实际问题研究中.
- 绝对节点坐标 /
- 分数导数 /
- 广义a方法 /
- 数值耗散 /
- 多体系统
Abstract: Based on the absolute nodal coordinate (ANC) framework, the dynamics modeling and solutionstrategy for the multibody system with fractional derivative damper is investigated. The flexibleparts are discretized by the ANC-based locking-free shear deformable beam element. The systemequations of motion with constant mass matrix are also obtained and solved by the numericaldissipation controllable generalized-a method. The effects of the algorithm parameter and thefractional index on the dynamics responses are also studied by solving the numerical examples.The presented procedures can also be used to solve many other practical engineering problems.
- Absolute Nodal Coordinate /
- Fractional Derivative /
- Generalized-a Method /
- Numerical Dissipation /
- Multibody System