Research on shape optimization of free-form surface reticulated shell structure based on nodal well-formedness
In order to obtain the free-form and reasonable mechanical properties of the free-form single-layer reticulated shell structure,the displacement response under the action of a unit force was taken as the measurement parameter of the structural connection performance,and NURBS technology was introduced to ensure the smoothness of the structural surface.Based on the evaluation index of the nodal well-formedness under load,the corresponding optimization method of the free-form surface structure is proposed.Taking the coordinates of structural control points as the optimization variables and the maximization of the minimum nodal well-formedness as the optimization objective,a genetic algorithm was used to optimize the surface shape of the structure by considering the constraint conditions such as total mass of the steel material,the maximum node displacement and the slenderness ratio.The results show that the nodal well-formedness can accurately reflect the joint connection performance,and the genetic algorithm can obtain the structural shape of the rod mainly subjected to axial compression.The stress mode is effectively improved,the stress level is reasonable,and the structure's ultimate bearing capacity and safety are guaranteed.
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