<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, firstly, a mathematical model of spatial structure topology optimization is constructed, and sensitivity analysis, approximate model fitting and...

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

Published Online: Oct 28, 2023

Page range: -

Received: Dec 27, 2022

Accepted: May 08, 2023

DOI: https://doi.org/10.2478/amns.2023.2.00832

Keywords
Spatial structure, Topology optimization, Environmental art design, Morphology optimization, Dynamic frequency, Total strain energy

© 2023 Sha Meng, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Oct 28, 2023

Page range: -

Received: Dec 27, 2022

Accepted: May 08, 2023

DOI: https://doi.org/10.2478/amns.2023.2.00832

KeywordsSpatial structure, Topology optimization, Environmental art design, Morphology optimization, Dynamic frequency, Total strain energy

© 2023 Sha Meng, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Spatial structure, Topology optimization, Environmental art design, Morphology optimization, Dynamic frequency, Total strain energy