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

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 pr...

[1]  Katarzyna Tajs-Zielińska,et al.  Minimal compliance topologies for maximal buckling load of columns , 2015 .

[2]  George I. N. Rozvany,et al.  A critical review of established methods of structural topology optimization , 2009 .

[3]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[4]  Erik Lund,et al.  Optimization formulations for the maximum nonlinear buckling load of composite structures , 2011 .

[5]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[6]  Zhong Zhang,et al.  Optimal Design of Broadband Radar Absorbing Sandwich Structure with Circuit Analog Absorber Core , 2015 .

[7]  M. M. Neves,et al.  Topology optimization of periodic microstructures with a penalization of highly localized buckling modes , 2002 .

[8]  Q. Qin,et al.  Layout Optimization of Ill-Loaded Multiphase Bi-Modulus Materials , 2016 .

[9]  Emílio C. N. Silva,et al.  Towards the stabilization of the low density elements in topology optimization with large deformation , 2013 .

[10]  T. Pian,et al.  Rational approach for assumed stress finite elements , 1984 .

[11]  Esben Lindgaard,et al.  On compliance and buckling objective functions in topology optimization of snap-through problems , 2013 .

[12]  Jens Gravesen,et al.  On the sensitivities of multiple eigenvalues , 2011 .

[13]  M. Diehl,et al.  Robust topology optimization accounting for misplacement of material , 2012, Structural and Multidisciplinary Optimization.

[14]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[15]  Anders Clausen,et al.  Efficient topology optimization in MATLAB using 88 lines of code , 2011 .

[16]  M. M. Neves,et al.  Generalized topology design of structures with a buckling load criterion , 1995 .

[17]  Eric Li,et al.  Topology Optimization Using Node-Based Smoothed Finite Element Method , 2015 .

[18]  E. Ramm,et al.  Large deformations and stability in topology optimization , 2005 .

[19]  A. N. Solovyev,et al.  Optimization for the Harvesting Structure of the Piezoelectric Bimorph Energy Harvesters Circular Plate by Reduced Order Finite Element Analysis , 2016 .

[20]  Jennifer A. Scott,et al.  A fast method for binary programming using first‐order derivatives, with application to topology optimization with buckling constraints , 2012 .

[21]  Ming-Jie Cao,et al.  A novel robust design method for improving stability of optimized structures , 2015 .

[22]  Erik Holmberg,et al.  Stress constrained topology optimization , 2013, Structural and Multidisciplinary Optimization.

[23]  H. C. Rodrigues,et al.  Necessary conditions for optimal design of structures with a nonsmooth eigenvalue based criterion , 1995 .

[24]  Erik Lund,et al.  A unified approach to nonlinear buckling optimization of composite structures , 2011 .

[25]  Haitao Ma,et al.  Topology optimization of continuum structures under buckling constraints , 2015 .

[26]  Noboru Kikuchi,et al.  Optimal reinforcement design of structures under the buckling load using the homogenization design method , 1997 .

[27]  B. Bourdin.  Filters in topology optimization , 2001 .

[28]  Liyong Tong,et al.  Structural topology optimization for maximum linear buckling loads by using a moving iso-surface threshold method , 2015 .

[29]  Gengdong Cheng,et al.  Two-scale topology design optimization of stiffened or porous plate subject to out-of-plane buckling constraint , 2016 .

[30]  S. Rahmatalla,et al.  CONTINUUM TOPOLOGY OPTIMIZATION OF BUCKLING-SENSITIVE STRUCTURES , 2002 .