scholarly journals Revisiting topology optimization with buckling constraints

2019 ◽  
Vol 59 (5) ◽  
pp. 1401-1415 ◽  
Author(s):  
Federico Ferrari ◽  
Ole Sigmund
Keyword(s):  
Topology Optimization ◽  
Buckling Constraints

An Adaptive Continuation Method for Topology Optimization of Continuum Structures Considering Buckling Constraints

2017 ◽  
Vol 09 (07) ◽  
pp. 1750092 ◽  
Author(s):  
Xingjun Gao ◽  
Lijuan Li ◽  
Haitao Ma
Keyword(s):  
Topology Optimization ◽  
Optimization Problems ◽  
Continuation Method ◽  
Optimization Process ◽  
Continuum Structures ◽  
Design Evolution ◽  
Buckling Constraints ◽  
Load Factors ◽  
Structural Compliance ◽  
Parameter Values

This paper presents an adaptive continuation method for buckling topology optimization of continuum structures using the Solid Isotropic Material with Penalization (SIMP) model. For optimization problems of minimizing structural compliance subject to constraints on material volume and buckling load factors, it has been found that the conflict between the requirements for structural stiffness and stability may have an adverse impact on the performance of existing optimization algorithms. An automatic scheme for adjusting the penalization parameter is introduced to deal with this conflict and thus achieves better designs. Based on an investigation on the effect of the penalization parameter on design evolution during the optimization process, a rule is established to determine the appropriate penalization parameter values. Using this rule, an effective scheme is developed for determining the penalization parameter values such that the buckling constraints are appropriately considered throughout the optimization process. Numerical examples are presented to illustrate the effectiveness of the proposed method.

scholarly journals Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver

2016 ◽  
Vol 107 (12) ◽  
pp. 1029-1053 ◽  
Author(s):  
Peter D. Dunning ◽  
Evgueni Ovtchinnikov ◽  
Jennifer Scott ◽  
H. Alicia Kim
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Buckling Constraints ◽  
Linear Buckling
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