Research on the spatial structure of environmental art design based on topology optimization and morphology optimization

In this paper, firstly, a mathematical model of spatial structure topology optimization is constructed, and sensitivity analysis, approximate model fitting and optimization finding strategy for topology optimization in environmental art design are carried out. Secondly, morphological optimization is carried out from the morphological model of spatial structure and the urban thermal environment through urban environmental art design and morphological optimization. Finally, the optimization of structural morphology is explored under static multiple working conditions and single-objective optimization, considering the dynamic frequency of the structure. The results show that as the optimization proceeds, the total strain energy, axial strain energy and bending strain energy of the space structure increase to 0.45, 0.52 and 0.5 of the initial structure, respectively. At the 9th iteration of optimization, the performance is at its peak. The load-carrying capacity is 1.59 times that of the 35th step and 1.5 times that of the initial structure. The research results of this paper can provide references and guidance for structural design and optimization in the fields of environmental art design and urban planning.