A Cartesian spatial discretization method for nonlinear dynamic modeling and vibration analysis of tensegrity structures
A Cartesian spatial discretization method for nonlinear dynamic modeling and vibration analysis of tensegrity structures
复制标题
张拉整体结构非线性动力建模和振动分析的笛卡尔空间离散方法
DOI：
10.1016/j.ijsolstr.2023.112179
复制
发表时间：
2023
影响因子：
3.6
通讯作者：
Zhu, Weidong
中科院分区：
文献类型：
--
作者：
Yuan, Sichen;Zhu, Weidong
对于张拉整体结构的振动分析，动力学模型的建立是关键的一步。传统的张拉整体结构动力学建模方法普遍存在对结构构件过于简化的问题。忽略杆件和索件的纵向内部位移以及索件的横向内部位移。这种过度简化将不可避免地阻止这样开发的张拉整体结构的动力模型，以揭示准确的响应，特别是对于那些在高频域。为了解决这一问题，提出了一种新的张拉整体结构非线性动力学建模和振动分析方法--笛卡尔空间离散法。该方法通过将结构构件的位置定义为整体笛卡尔坐标系中的内力项和边界诱导项之和，成功地将构件内位移引入到张拉整体结构的动力学建模中。将该方法应用于平面Snelson 'sX型张拉整体结构、三维张拉整体塔架和不规则张拉整体网格的振动仿真分析，并分别与基于广义坐标的拉格朗日法、商用有限元分析软件ANSYS和文献中的有限元分析方法进行了比较。结果表明，该方法能够准确地预测张拉整体结构的动力响应，特别是在高频域的振动分析。它也表明，所提出的方法是适用于简单和复杂的张拉整体结构，和计算效率，因为它收敛于一个超线性的速度，只使用少量的内部条款的成员位移。
For vibration analysis of a tensegrity structure, the development of a dynamic model is a key step. A common issue in the traditional dynamic modeling methods for vibration analysis of tensegrity structures is that structural members are oversimplified. Member internal displacements, including those in longitudinal directions for bar and cable members and those in transverse directions for cable members, were neglected. This oversimplification would inevitably prevent the dynamic model of a tensegrity structure so developed from revealing accurate responses, especially for those in the high-frequency domain. To resolve this issue, a new method called the Cartesian spatial discretization method is developed for nonlinear dynamic modeling and vibration analysis of tensegrity structures. This method can successfully incorporate member internal displacements in dynamic modeling of a tensegrity structure by defining positions of structural members as a summation of internal terms and boundary-induced terms in a global Cartesian coordinate system. The proposed method is applied to vibration analysis of a planar Snelson’s X tensegrity structure, a three-dimensional tensegrity tower, and an irregular tensegrity grid in simulation, and compared with the Lagrangian method based on generalized coordinates, the commercial finite element analysis software ANSYS and the finite element analysis method in literatures, respectively. Results show that the proposed method is accurate in predicting dynamic responses of tensegrity structures, especially for vibration analysis in the high-frequency domain. It is also demonstrated that the proposed method is applicable to both simple and complex tensegrity structures, and computationally efficient as it converges in a super-linear rate by using only a small number of internal terms of member displacements.