Topology optimization of tension-only cable nets under finite deformations
Topology optimization of tension-only cable nets under finite deformations
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DOI：
10.1007/s00158-020-02513-7
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发表时间：
2020-04
影响因子：
3.9
通讯作者：
E. D. Sanders;Adeildo S. Ramos;G. Paulino
中科院分区：
文献类型：
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作者：
E. D. Sanders;Adeildo S. Ramos;G. Paulino
包含仅受拉构件的结构，即，电缆广泛用于工程结构（例如，悬索桥和斜拉桥、帐篷和自行车车轮），并且也存在于自然界中（例如，蜘蛛网）。我们试图使用地面结构的方法来获得最佳的电缆网络配置。该结构使用允许大位移的非线性弹性原理建模，即，全局配置变化和大变形。该材料的特征在于超弹性本构关系，其中仅当构件的轴向拉伸大于或等于1时应变能为非零（即，仅张力行为）。我们最大化的平衡系统，这避免了需要一个额外的伴随方程在计算所需的最优化问题的解决方案的衍生物的静态势能。几个例子证明了电缆网络的拓扑优化所提出的配方的能力。灵感来自大自然，蜘蛛网启发电缆网的设计。
Structures containing tension-only members, i.e., cables, are widely used in engineered structures (e.g., suspension and cable-stayed bridges, tents, and bicycle wheels) and are also found in nature (e.g., spider webs). We seek to use the ground structure method to obtain optimal cable network configurations. The structures are modeled using principles of nonlinear elasticity that allow for large displacements, i.e., global configuration changes, and large deformations. The material is characterized by a hyperelastic constitutive relation in which the strain energy is nonzero only when the axial stretch of a member is greater than or equal to one (i.e., tension-only behavior). We maximize the stationary potential energy of the equilibrated system, which avoids the need for an additional adjoint equation in computing the derivatives needed for the solution of the optimization problem. Several examples demonstrate the capabilities of the proposed formulation for topology optimization of cable networks. Motivated by nature, a spider web–inspired cable net is designed.