Topology optimization of continuum structures considering damage based on independent continuous mapping method

2018 ◽  
Vol 35 (2) ◽  
pp. 433-444 ◽  
Author(s):  
Jiazheng Du ◽  
Yunhang Guo ◽  
Zuming Chen ◽  
Yunkang Sui
Keyword(s):  
Topology Optimization ◽  
Continuous Mapping ◽  
Mapping Method ◽  
Continuum Structures

Application of the Structural Topological Optimization in the Column Stability Design

2010 ◽  
Vol 37-38 ◽  
pp. 190-193
Author(s):  
Bing Chuan Bian ◽  
Guan Ming Peng ◽  
Yun Kang Sui
Keyword(s):  
Topology Optimization ◽  
Objective Function ◽  
Optimization Model ◽  
Continuous Mapping ◽  
Rayleigh Quotient ◽  
Mapping Method ◽  
Topological Optimization ◽  
Topological Structures ◽  
Topology Optimization Problem ◽  
Dual Programming

In this paper, according to the ICM (Independent Continuous Mapping) method, the topology optimization problem of continuum structures is solved. The topology optimization model for the continuum structure is constructed, which minimized weight as the objective function and was subjected to the buckling constraints. Based on the Taylor expansion, the filtering function and the Rayleigh quotient, the objective function and the buckling constraint are approximately expressed as the explicit function. The optimization model is translated into a dual programming and solved by the sequence second-order programming. Finally, the compressed bar examples are presented. They verified the length coefficient which is converted into stability bar hinged at both ends, identified the location of bottlenecks in topological structures. According to the results, more reasonable topological structures were given.

Structural Topology Optimization with Dynamic Response Based on Independent Continuous Mapping Method

2013 ◽  
Vol 765-767 ◽  
pp. 1658-1661
Author(s):  
Hong Ling Ye ◽  
Yao Ming Li ◽  
Yan Ming Zhang ◽  
Yun Kang Sui
Keyword(s):  
Topology Optimization ◽  
Optimization Problem ◽  
Continuous Mapping ◽  
Harmonic Excitation ◽  
Mapping Method ◽  
Multiple Response ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Dual Sequence

This paper refer to weight as objective and subject to multiple response amplitude of the harmonic excitation. The ICM method is employed for solving the topology optimization problem and dual sequence quadratic programming (DSQP) is effective to solve the algorithm. A numerical example was presented and demonstrated the validity and effectiveness of the ICM method.

scholarly journals An efficient approach to reliability-based topology optimization for the structural lightweight design of planar continuum structures

2021 ◽  
Vol 37 ◽  
pp. 270-281
Author(s):  
Fangfang Yin ◽  
Kaifang Dang ◽  
Weimin Yang ◽  
Yumei Ding ◽  
Pengcheng Xie
Keyword(s):  
Topology Optimization ◽  
Lightweight Design ◽  
Integrated Design ◽  
Optimization Methods ◽  
Filter Function ◽  
Continuum Structures ◽  
Performance Indexes ◽  
Reliability Method ◽  
Economic Indexes ◽  
The Impact

Abstract In order to solve the application restrictions of deterministic-based topology optimization methods arising from the omission of uncertainty factors in practice, and to realize the calculation cost control of reliability-based topology optimization. In consideration of the current reliability-based topology optimization methods of continuum structures mainly based on performance indexes model with a power filter function. An efficient probabilistic reliability-based topology optimization model that regards mass and displacement as an objective function and constraint is established based on the first-order reliability method and a modified economic indexes model with a composite exponential filter function in this study. The topology optimization results obtained by different models are discussed in relation to optimal structure and convergence efficiency. Through numerical examples, it can be seen that the optimal layouts obtained by reliability-based models have an increased amount of material and more support structures, which reveals the necessity of considering uncertainty in lightweight design. In addition, the reliability-based modified model not only can obtain lighter optimal structures compared with traditional economic indexes models in most circumstances, but also has a significant advantage in convergence efficiency, with an average increase of 44.59% and 64.76% compared with the other two reliability-based models. Furthermore, the impact of the reliability index on the results is explored, which verifies the validity of the established model. This study provides a theoretical reference for lightweight or innovative feature-integrated design in engineering applications.

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