Abstract
A mathematical model was developed for layout optimization of truss structures with discrete variables subjected to dynamic stress, dynamic displacement and dynamic stability constraints. By using the quasi-static method, the mathematical model of structure optimization under dynamic stress, dynamic displacement and dynamic stability constraints were transformed into one subjected to static stress, displacement and stability constraints. The optimization procedures include two levels, i.e., the topology optimization and the shape optimization. In each level, the comprehensive algorithm was used and the relative difference quotients of two kinds of variables were used to search the optimum solution. A comparison between the optimum results of model with stability constraints and the optimum results of model without stability constraint was given. And that shows the stability constraints have a great effect on the optimum solutions.
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Contributed by SUN Huan-chun, Original Member of Editorial Committee, AMM
Project supported by the National Natural Science Foundation of China (Nos.10002005 and 10421002); the Natural Science Foundation of Tianjin (No.02360081); the Education Committee Foundation of Tianjin (No.20022104); the Program for Changjiang Scholars and Innovative Research Team in University of China and the 211 Foundation of Dalian University of Technology
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Shi, Ls., Wang, Yf. & Sun, Hc. Approach for layout optimization of truss structures with discrete variables under dynamic stress, displacement and stability constraints. Appl Math Mech 27, 593–599 (2006). https://doi.org/10.1007/s10483-006-0504-y
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DOI: https://doi.org/10.1007/s10483-006-0504-y
Key words
- discrete variables
- structure optimization
- layout optimum design
- dynamic stress constraint
- dynamic displacement constraint
- dynamic stability constraint
- relative difference quotient