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针对杆系结构,利用单元、节点坐标参数与结构应变能的关系,提出能够兼顾拓扑与形状的杆系结构形态创构方法。该方法基于有限元平衡方程,分别计算节点自由移动、约束移动、单元增加和单元消除等四种应变能敏感度,并利用这些敏感度与应变能变化关系生成或修正结构的拓扑形状,调整节点位置,最终得到应变能最小的合理结构形态。支座条件、空间条件等设计参数对最终结构形态的影响较大,利用该方法的此特点,可以调整设计参数得到多种合理的结构几何形状,在方案设计阶段可供设计人员参考。算例表明,该方法所得到的结构以轴力的形式传递荷载,而且能够保证刚度要求。
Aiming at the relationship between the structure of the rod system and the unit, the coordinate parameters of the node and the strain energy of the structure, a method of forming the structure of the rod system with both topology and shape is proposed. Based on the finite element balance equation, the method calculates the four kinds of strain energy sensitivities of free movement, restrained movement, unit increase and element elimination separately. The method can generate or modify the topological shape of the structure by using the relationship between the sensitivity and the strain energy, Position, the final strain to get the smallest reasonable structural form. The design parameters such as bearing conditions and space conditions have a great influence on the final structural shape. By using this feature, the design parameters can be adjusted to obtain a variety of reasonable structural geometries, which can be referenced by designers in the design stage. The example shows that the structure obtained by this method transmits the load in the form of axial force and can guarantee the rigidity requirement.