基于变换方法的索网结构波传播控制研究
发布时间：2019-05-30 09:26
【摘要】：索网结构具有尺寸大、质量轻、可展开等特点,已应用于大型空间展开天线等结构中.本文开展了基于变换方法的索网结构波传播控制研究.首先将索网均匀化为等效薄膜,建立了可描述索网结构波传播规律的均匀化等效波动方程.等效波动方程的形式与薄膜波动方程的形式相同,等效质量和刚度由网格构型、几何参数和材料参数决定.对于张紧力均匀分布的正三角形、正方形和正六边形网格,等效质量和刚度均为各向同性.根据该波动方程,利用坐标变换方法给出预定波传播方式下所需的材料参数空间分布.将所得连续材料参数分布离散化,设计相应的索网微结构,从而实现索网中可控的波传播形式.基于压缩变换、白洞变换和鱼眼透镜等功能化设计,数值验证了方法的有效性.本文所提出的索网结构的变换方法,为大型空间索网结构的振动控制提供了一定的理论指导.
[Abstract]:The cable network structure has the characteristics of large size, light weight, expandable and so on, and has been used in large space expansion antenna and other structures. In this paper, the wave propagation control of cable network structure based on transformation method is studied. Firstly, the cable net is uniformly transformed into equivalent thin film, and the homogenization equivalent wave equation which can describe the wave propagation law of cable net structure is established. The form of equivalent wave equation is the same as that of thin film wave equation. The equivalent mass and stiffness are determined by grid configuration, geometric parameters and material parameters. For triangular, square and hexagonal grids with uniform tensile force, the equivalent mass and stiffness are isotropic. According to the wave equation, the spatial distribution of material parameters under predetermined wave propagation mode is given by coordinate transformation method. The parameter distribution of the continuous material is discretized and the corresponding microstructure of the cable network is designed, so as to realize the controllable wave propagation form in the cable network. Based on the functional design of compression transformation, white hole transformation and fish-eye lens, the effectiveness of the method is verified by numerical value. The transformation method of cable network structure proposed in this paper provides some theoretical guidance for vibration control of large space cable network structure.
【作者单位】： 北京理工大学宇航学院;上海宇航系统工程研究所;
【基金】：国家自然科学基金(编号:11290153,11672037,11632003,11221202)资助项目
【分类号】：O327;TN820
本文编号：2488728
[Abstract]:The cable network structure has the characteristics of large size, light weight, expandable and so on, and has been used in large space expansion antenna and other structures. In this paper, the wave propagation control of cable network structure based on transformation method is studied. Firstly, the cable net is uniformly transformed into equivalent thin film, and the homogenization equivalent wave equation which can describe the wave propagation law of cable net structure is established. The form of equivalent wave equation is the same as that of thin film wave equation. The equivalent mass and stiffness are determined by grid configuration, geometric parameters and material parameters. For triangular, square and hexagonal grids with uniform tensile force, the equivalent mass and stiffness are isotropic. According to the wave equation, the spatial distribution of material parameters under predetermined wave propagation mode is given by coordinate transformation method. The parameter distribution of the continuous material is discretized and the corresponding microstructure of the cable network is designed, so as to realize the controllable wave propagation form in the cable network. Based on the functional design of compression transformation, white hole transformation and fish-eye lens, the effectiveness of the method is verified by numerical value. The transformation method of cable network structure proposed in this paper provides some theoretical guidance for vibration control of large space cable network structure.
【作者单位】： 北京理工大学宇航学院;上海宇航系统工程研究所;
【基金】：国家自然科学基金(编号:11290153,11672037,11632003,11221202)资助项目
【分类号】：O327;TN820
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