Topology optimization considering stress, fatigue and load uncertainties

This dissertation concerns structural topology optimization in conceptual design stages. The objective of the project has been to identify and solve problems that prevent structural topology optimi ...

[1]  A. Takezawa,et al.  Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system , 2011 .

[2]  Ole Sigmund,et al.  New Developments in Handling Stress Constraints in Optimal Material Distributions , 1998 .

[3]  Julián A. Norato,et al.  Stress-based topology optimization for continua , 2010 .

[4]  G. Sved,et al.  Structural optimization under multiple loading , 1968 .

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

[7]  M. Bendsøe,et al.  Topology optimization of continuum structures with local stress constraints , 1998 .

[8]  E. Sturler,et al.  Large‐scale topology optimization using preconditioned Krylov subspace methods with recycling , 2007 .

[9]  M. Zhou,et al.  Generalized shape optimization without homogenization , 1992 .

[10]  M. Bruggi.  On an alternative approach to stress constraints relaxation in topology optimization , 2008 .

[11]  George I. N. Rozvany,et al.  On singular topologies in exact layout optimization , 1994 .

[12]  M. Zhou,et al.  Checkerboard and minimum member size control in topology optimization , 2001 .

[13]  Erik Holmberg,et al.  Global and clustered approaches for stress constrained topology optimization and deactivation of design variables , 2013 .

[14]  A. P. Zielinski,et al.  Parametric structural optimization with respect to the multiaxial high-cycle fatigue criterion , 2006 .

[15]  Ole Sigmund,et al.  On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .

[16]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

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

[18]  James K. Guest,et al.  Achieving minimum length scale in topology optimization using nodal design variables and projection functions , 2004 .

[19]  Mirosław Mrzygłód,et al.  Multi-constrained topology optimization using constant criterion surface algorithm , 2012 .

[20]  Matteo Bruggi,et al.  Simplified fatigue resistance in mechanical engineering using topology optimization , 2015 .

[21]  U. Kirsch,et al.  On singular topologies in optimum structural design , 1990 .

[22]  S. Suresh.  Fatigue of materials , 1991 .

[23]  Rodrigue Desmorat,et al.  Topology optimization in damage governed low cycle fatigue , 2008 .

[24]  M. Bendsøe,et al.  Material interpolation schemes in topology optimization , 1999 .

[25]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[26]  Harvey J. Greenberg,et al.  Automatic design of optimal structures , 1964 .

[27]  J. Aubin.  Mathematical methods of game and economic theory , 1979 .

[28]  Matteo Bruggi,et al.  Topology optimization of mechanical and aerospace components subject to fatigue stress constraints , 2015 .

[29]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .

[30]  Ole Sigmund,et al.  On the usefulness of non-gradient approaches in topology optimization , 2011 .

[31]  G. Rozvany.  Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics , 2001 .

[32]  J. Petersson,et al.  Topology optimization using regularized intermediate density control , 2001 .

[33]  Ole Sigmund,et al.  Topology optimization: a tool for the tailoring of structures and materials , 2000, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[34]  Eric van Damme,et al.  Non-Cooperative Games , 2000 .

[35]  G. Cheng,et al.  ε-relaxed approach in structural topology optimization , 1997 .

[36]  N. Olhoff,et al.  An investigation concerning optimal design of solid elastic plates , 1981 .

[37]  Ren-Jye Yang,et al.  Stress-based topology optimization , 1996 .

[38]  Krister Svanberg,et al.  Density filters for topology optimization based on the Pythagorean means , 2013 .

[39]  丸山 徹.  Convex Analysisの二,三の進展について , 1977 .

[40]  M. F.,et al.  Bibliography , 1985, Experimental Gerontology.

[41]  N. Olhoff,et al.  Multiple eigenvalues in structural optimization problems , 1994 .

[42]  N. Bayley,et al.  Failure , 1890, The Hospital.

[43]  T. E. Bruns,et al.  Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .

[44]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[45]  Robert V. Kohn,et al.  Optimal design in elasticity and plasticity , 1986 .

[46]  O. Sigmund,et al.  Checkerboard patterns in layout optimization , 1995 .

[47]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[48]  K. Yamazaki,et al.  A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints , 2001 .

[49]  Dong-Hoon Choi,et al.  Fatigue and static failure considerations using a topology optimization method , 2015 .

[50]  Henrik Svärd,et al.  Topology Optimization of Fatigue-Constrained Structures , 2015 .

[51]  T. E. Bruns,et al.  A reevaluation of the SIMP method with filtering and an alternative formulation for solid–void topology optimization , 2005 .

[52]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[53]  Michael L. Overton,et al.  Large-Scale Optimization of Eigenvalues , 1990, SIAM J. Optim..

[54]  Mirosław Mrzygłód,et al.  Numerial implementation of multiaxial high-cycle fatigue criterion to structural optimization , 2006 .

[55]  Jaap Schijve,et al.  Fatigue of structures and materials , 2001 .

[56]  Gengdong Cheng,et al.  STUDY ON TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS , 1992 .

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

[58]  Daniel A. Tortorelli,et al.  Minmax topology optimization , 2012 .

[59]  I. Colominas,et al.  Block aggregation of stress constraints in topology optimization of structures , 2007, Adv. Eng. Softw..

[60]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[61]  Andrej Cherkaev,et al.  Minimax optimization problem of structural design , 2008 .

[62]  Niels Leergaard Pedersen,et al.  Optimization of practical trusses with constraints on eigenfrequencies, displacements, stresses, and buckling , 2003 .

[63]  O. Sigmund.  Morphology-based black and white filters for topology optimization , 2007 .