Exploration of structural mechanics and biomimetic design in sculpture art creation

With the development of economy, the public’s demand for cultural life is increasing. Sculpture brings a dynamic experience to the urban landscape, enabling people to actively participate and integrate into the landscape space, thus adding to the urban cultural construction and enhancing the variability and depth of space. Based on the principle of bionic design, this paper compares the degree of similarity of the original organisms, and divides the morphology bionic into figurative bionic, abstract bionic, and metaphorical bionic. Combined with the structural stress characteristics, the spatial finite element model is established, and according to D’Alembert’s principle, the vibration equilibrium equation is associated, and the vibration mode superposition method power analysis method is applied to analyze the modal state of a sculpture. The results show that: The horizontal direction of the vibration mode coefficient has reached more than 0.9, the period and frequency of the sixth and seventh order vibration modes are the same, both are 0.3948 s and 2.5699 Hz. Calculating the ultimate bearing capacity of the structure under all the conditions, the maximum stress ratio of the strength of each member of the sculpture is 0.96987, which indicates that the strength of all the structural members meets the requirements of the design of the sculpture. The overall stability of the sculpture is analyzed, when the order is 5, the buckling factor under three kinds of loading conditions are 208.5974, 114.1648, 124.9748, which indicates that the sculpture structure designed according to bionics has good overall stability.