含间隙铰链的非线性动力学建模及数值分析

针对空间可展开机构中的含间隙铰链,建立非线性动力学模型,研究其非线性动力学特性。将含间隙铰链实体等效为"T"字型梁模型,针对两侧端部的径向碰撞和侧向碰撞,首次提出了碰撞点的检测算法。针对不同的碰撞类型,建立相应的非线性接触力和摩擦力分析模型,将碰撞点处的作用力等效施加到"T"字型梁模型上。进行"T"字型梁模型在轴向冲击载荷下的动力学特性分析,并与ANSYS软件的分析结果进行比较,验证了含间隙铰链非线性动力学模型的有效性。分析了有多个含间隙铰链的可展开桁架动力学响应特性,研究含间隙铰链对桁架响应的影响机理。结果表明:采用含间隙铰链的动力学模型,可以更加精确地分析可展开桁架结构的非线性动力学响应,为可展开桁架结构的动力学设计提供支撑。

Nonlinear Dynamic Modeling and Numerical Analysis with Clearance Joints

A nonlinear dynamic model for the clearance joints in space deployable mechanisms is established, and the nonlinear dynamic characteristics are studied. The clearance joint entity is equivalent to a T-type beam model. For the radial and lateral collision at the ends of two sides, a detection algorithm for collision points is proposed for the first time. The analysis models for the nonlinear contact force and friction corresponding to different collision types are established, and the equivalent force at the collision points is applied to the T-type beam model. The dynamic characteristics of the T-type beam model under axial impact loads are analyzed, and the results are compared with the analysis results from the ANSYS software, by which the effectiveness of the nonlinear dynamic model for clearance joints is verified. The dynamic response characteristics of a deployable truss structure with multiple clearance joints are analyzed, and the influence mechanisms of the clearance joints on the dynamic responses are investigated. The results show that the nonlinear dynamic responses of deployable truss structures can be analyzed more precisely by using the dynamic model with clearance joints, which can provide support for the dynamic design of deployable truss structures.