Multi-objective structure dynamic optimization based on equivalent static loads

Aiming at the problems such as low computational efficiency and long process in dynamic topology optimization, combined with bi-directional evolutional structure optimization, the dynamic optimization problem is transformed into the static optimization problem in multiple load cases. Newmark method...

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Bibliographic Details
Published in:International journal on interactive design and manufacturing 2018-05, Vol.12 (2), p.729-740
Main Authors: Ma, Hui, Shi, Dongyan, Gea, Hae Chang, Teng, Xiaoyan
Format: Article
Language:English
Subjects:
CAE) and Design
Compliance
Computer-Aided Engineering (CAD
Density
Dynamic structural analysis
Efficiency
Electronics and Microelectronics
Engineering
Engineering Design
Equivalence
Finite element analysis
Industrial Design
Instrumentation
Iterative methods
Load
Mathematical analysis
Mechanical Engineering
Multiple objective analysis
Numerical analysis
Optimization
Optimization models
Pneumatics
Resonant frequencies
Short Original Paper
Static loads
Topology optimization
Tracking
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Summary:Aiming at the problems such as low computational efficiency and long process in dynamic topology optimization, combined with bi-directional evolutional structure optimization, the dynamic optimization problem is transformed into the static optimization problem in multiple load cases. Newmark method is used to analyze the structure dynamics load. The topology optimization model based on equivalent static load is established. On the basis of the equivalent static load, multi-objective dynamics evolutionary structure optimization is studied. And the mathematical model of the dynamic stiffness and natural frequency about the multi-objective optimization is established. The mathematical formula of the sensitivity is deduced. Then a complete optimization iterative process is given. The numerical example illustrates that it is feasible to solve the multi-objective dynamic topology optimization with equivalent static loads. Modal tracking technique is introduced to the multi-objective dynamic topology optimization. The numerical example shows that modal tracking technology can track the required modal in the optimization process.
ISSN:1955-2513
1955-2505
DOI:10.1007/s12008-017-0408-x