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Shape optimization and mechanical properties analysis of the free-form surface
Cui Guoyong1,2, Cui Changyu3
1Zhaotong Expressway Investment and Development Co., Ltd, Zhaotong, 657000, Yunnan Province, China. guoyonghit@163.com.
Scientific Reports
|July 29, 2025
Summary
This study introduces a novel method to optimize complex architectural structures by minimizing strain energy, improving computational efficiency and reducing mesh distortion for accurate initial modeling.
Area of Science:
- Engineering
- Computational Mechanics
- Structural Analysis
Background:
- Traditional curves and B-spline curves struggle to represent complex architectural forms.
- Accurate initial modeling of diverse and complex structures presents significant challenges in engineering projects.
Purpose of the Study:
- To develop an efficient method for modeling and optimizing complex architectural structures.
- To address computational efficiency and mesh distortion issues in structural analysis.
- To improve the accuracy of initial structural models for free-form shell structures.
Main Methods:
- Determined internal/external boundaries using B-spline surfaces and Delaunay triangulation on a reference plane.
- Derived strain energy sensitivity to key points to establish a new optimization method.
- Implemented optimization model, sensitivity analysis, and mechanics analysis in FORTRAN.
- Utilized ABAQUS for finite element analysis to study structural behavior and ultimate load.
Main Results:
- A new method was established to minimize strain energy, enhancing computational efficiency.
- Demonstrated correctness and effectiveness using two free-form continuous shell structures.
- Analyzed failure patterns, displacement contours, and load-displacement curves for optimized structures.
- Investigated the impact of concrete strength, shell thickness, and reinforcement on ultimate load.
Conclusions:
- The developed method effectively optimizes complex architectural forms, improving computational efficiency.
- The optimization process enhances structural performance and accuracy for free-form shell structures.
- Finite element analysis confirmed the method's validity and provided insights into structural behavior under varying parameters.
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