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详尽阐述了一种适用于梁式构件动力学响应分析的集总参数方法——有限段方法。采用有限段方法建立柔性梁式构件的离散模型,基于Kane方程的Huston方法建立柔性多体系统动力学方程。该方程计入了梁式构件的几何非线性变形的惯性影响,在求解过程中,引入了相对位移的模态变换以提高计算效率。通过典型实验验证了有限段方法可以解决具有几何非线性变形的柔性梁式构件的多体系统动力学问题。
A lumped parameter method suitable for dynamic response analysis of beam elements - a finite-section method is elaborated. The finite element method was used to establish the discrete model of flexible beam members. The Huston method based on Kane equation was used to establish the flexible multibody system dynamics equations. The equation takes into account the inertial effect of the geometric nonlinear deformation of beam members. In the process of solving, the modal transformation of relative displacement is introduced to improve the computational efficiency. A typical experiment verifies that the finite-section method can solve the multi-body system dynamics problem of flexible beam members with geometric nonlinear deformation.