Fail-safe topology optimization of continuum structures with fundamental frequency constraints based on the ICM method
- PDF / 7,372,741 Bytes
- 13 Pages / 595.276 x 790.866 pts Page_size
- 19 Downloads / 245 Views
RESEARCH PAPER
Fail‑safe topology optimization of continuum structures with fundamental frequency constraints based on the ICM method Jia‑Zheng Du1 · Fan‑Wei Meng1 · Yun‑Hang Guo2 · Yun‑Kang Sui1 Received: 5 May 2020 / Revised: 15 June 2020 / Accepted: 7 August 2020 © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract It is an important topic to improve the redundancy of optimized configuration to resist the local failure in topology optimization of continuum structures. Such a fail-safe topology optimization problem has been solved effectively in the field of statics. In this paper, the fail-safe topology optimization problem is extended to the field of frequency topology optimization. Based on the independent continuous mapping (ICM) method, the model of fail-safe topology optimization is established with the objective of minimal weight integrating with the discrete condition of topological variables and the constraint of the fundamental frequency. The fail-safe optimization model established above is substituted by a sequence of subproblems in the form of the quadratic program with exact second-order information and solved efficiently by the dual sequence quadratic programming (DSQP) algorithm. The numerical result reveals that the optimized fail-safe structure has more complex configuration and preserved materials than the structure obtained from the traditional frequency topology optimization, which means that the optimized fail-safe structure has higher redundancy. Moreover, the optimized fail-safe structure guarantees that the natural frequency meets the constraint of fundamental frequency when the local failure occurs, which can avoid the structural frequency to be sensitive to local failure. The fail-safe optimization topology model is proved effective and feasible by four numerical examples. Keywords Fail-safe · Frequency constraints · Topology optimization · Independent continuous mapping method
1 Introduction Topology optimization is to find the optimal path which can carry the load and response under the given loading and boundary conditions, that is, the structural material reaches the optimal layout [1]. Owning to the tremendous economic benefit and conceptual design provided for designers, topology optimization has become the uppermost optimization technology in the field of structural optimization. In the most of works, several classical methods are proposed to solve the topology optimization problem of continuum structures, including the homogenization method [2], the * Jia‑Zheng Du [email protected] 1
College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China
2
variable density method [3], the independent continuous mapping method (ICM) [4], the level set method [5], the evolutionary
Data Loading...
