A strain based topology optimization method for compliant mechanism design

2013 ◽  
Vol 49 (2) ◽  
pp. 199-207 ◽  
Author(s):  
E. Lee ◽  
H. C. Gea
Keyword(s):  
Topology Optimization ◽  
Mechanism Design ◽  
Compliant Mechanism ◽  
Optimization Method ◽  
Compliant Mechanism Design ◽  
Topology Optimization Method

Compliant Mechanism Design Using a Strain Based Topology Optimization Method

2011 ◽  
Author(s):  
Xiaobao Liu ◽  
Euihark Lee ◽  
Hae Chang Gea ◽  
Ping An Du
Keyword(s):  
Topology Optimization ◽  
Mechanism Design ◽  
Strain Energy ◽  
Compliant Mechanism ◽  
Effective Strain ◽  
Optimization Method ◽  
Structural Rigidity ◽  
Applied Forces ◽  
Compliant Mechanism Design ◽  
Topology Optimization Method

Energy based topology optimization method has been used in the design of compliant mechanisms for many years. Although many successful examples from the energy based topology optimization have been presented, optimized configurations of these designs are often very similar to their rigid linkage counterparts except using compliant joints in place of rigid links. It is obvious that these complaint joints will endure large deformations under the applied forces in order to perform the specified motions and the large deformation will produce high stress which is very undesirable in compliant mechanism design. In this paper, a strain based topology optimization method is proposed to avoid localized high deformation design which is one of the drawbacks using strain energy formulation. Therefore, instead of minimizing the strain energy for structural rigidity, a global effective strain functional is minimized in order to distribute the deformation within the entire mechanism while maximizing the structural rigidity. Furthermore, the physical programming method is adopted to accommodate both flexibility and rigidity design objectives. Comparisons of design examples from both the strain energy based topology optimization and the strain based method are presented and discussed.

An Evolutionary Soft-Add Topology Optimization Method for Synthesis of Compliant Mechanisms With Maximum Output Displacement

2017 ◽  
Vol 9 (5) ◽  
Author(s):  
Chih-Hsing Liu ◽  
Guo-Feng Huang ◽  
Ta-Lun Chen
Keyword(s):  
Topology Optimization ◽  
Compliant Mechanisms ◽  
Volume Fraction ◽  
Compliant Mechanism ◽  
Optimization Method ◽  
Computational Time ◽  
Maximum Output ◽  
Spring Stiffness ◽  
Output Displacement ◽  
Topology Optimization Method

This paper presents an evolutionary soft-add topology optimization method for synthesis of compliant mechanisms. Unlike the traditional hard-kill or soft-kill approaches, a soft-add scheme is proposed in this study where the elements are equivalent to be numerically added into the analysis domain through the proposed approach. The objective function in this study is to maximize the output displacement of the analyzed compliant mechanism. Three numerical examples are provided to demonstrate the effectiveness of the proposed method. The results show that the optimal topologies of the analyzed compliant mechanisms are in good agreement with previous studies. In addition, the computational time can be greatly reduced by using the proposed soft-add method in the analysis cases. As the target volume fraction in topology optimization for the analyzed compliant mechanism is usually below 30% of the design domain, the traditional methods which remove unnecessary elements from 100% turn into inefficient. The effect of spring stiffness on the optimized topology has also been investigated. It shows that higher stiffness values of the springs can obtain a clearer layout and minimize the one-node hinge problem for two-dimensional cases. The effect of spring stiffness is not significant for the three-dimensional case.

Evolutionary Topology Optimization for compliant mechanism design

2016 ◽  
Author(s):  
Claudia Marcela Pérez Madrid ◽  
Renato Pavanello ◽  
William Martins Vicente ◽  
Renato Picelli
Keyword(s):  
Topology Optimization ◽  
Mechanism Design ◽  
Compliant Mechanism ◽  
Compliant Mechanism Design

A simple evolutionary topology optimization procedure for compliant mechanism design

2007 ◽  
Vol 44 (1-2) ◽  
pp. 53-62 ◽  
Author(s):  
Rubén Ansola ◽  
Estrella Veguería ◽  
Javier Canales ◽  
José A. Tárrago
Keyword(s):  
Topology Optimization ◽  
Mechanism Design ◽  
Compliant Mechanism ◽  
Optimization Procedure ◽  
Compliant Mechanism Design

Compliant Mechanism Design With Non-Linear Materials Using Topology Optimization

2002 ◽  
Author(s):  
Daeyoon Jung ◽  
Hae Chang Gea
Keyword(s):  
Topology Optimization ◽  
Mechanism Design ◽  
Compliant Mechanism ◽  
Material Model ◽  
Nonlinear Material ◽  
Non Linear ◽  
Linear Material ◽  
General Displacement ◽  
Compliant Mechanism Design ◽  
Displacement Functional

In this paper, compliant mechanism design with non-linear materials using topology optimization is presented. A general displacement functional with non-linear material model is used in the topology optimization formulation. Sensitivity analysis of this displacement functional is derived from the adjoint method. Optimal compliant mechanism examples for maximizing the mechanical advantage are presented and the effect of nonlinear material on the optimal design are considered.

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