A general framework for robust topology optimization under load-uncertainty including stress constraints
暂无分享,去创建一个
Carl-Johan Thore | Erik Holmberg | Anders Klarbring | A. Klarbring | Carl-Johan Thore | Erik Holmberg | Carl‐Johan Thore
[2] Z. Kang,et al. Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model , 2009 .
[3] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[4] Chris P. Pantelides,et al. Design of Trusses under Uncertain Loads Using Convex Models , 1998 .
[5] A. Klarbring,et al. Worst-case topology optimization of self-weight loaded structures using semi-definite programming , 2015 .
[6] I. Colominas,et al. Block aggregation of stress constraints in topology optimization of structures , 2007, Adv. Eng. Softw..
[7] Zhenzhou Lu,et al. A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters , 2015 .
[8] Oded Amir,et al. Stress-constrained continuum topology optimization: a new approach based on elasto-plasticity , 2016, ArXiv.
[9] Dan M. Frangopol,et al. Reliability-based design of MEMS mechanisms by topology optimization , 2003 .
[10] M. Bendsøe,et al. Material interpolation schemes in topology optimization , 1999 .
[11] Raphael T. Haftka,et al. Anti-optimization technique for structural design under load uncertainties , 1998 .
[12] G. Allaire,et al. Shape and topology optimization of the robust compliance via the level set method , 2008 .
[13] Carl-Johan Thore,et al. Multiplicity of the maximum eigenvalue in structural optimization problems , 2016 .
[14] Zhan Kang,et al. On robust design optimization of truss structures with bounded uncertainties , 2013 .
[15] A. Takezawa,et al. Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system , 2011 .
[16] W. E Schmitendorf. A simple derivation of necessary conditions for static minmax problems , 1979 .
[17] Lorenz T. Biegler,et al. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..
[18] Fred van Keulen,et al. Damage approach: A new method for topology optimization with local stress constraints , 2016 .
[19] Gerhart I. Schuëller,et al. A survey on approaches for reliability-based optimization , 2010 .
[20] Carl-Johan Thore,et al. Game theory approach to robust topology optimization with uncertain loading , 2017 .
[21] J. Barlow,et al. Optimal stress locations in finite element models , 1976 .
[22] Vladimir Kobelev,et al. On a game approach to optimal structural design , 1993 .
[23] M. Bendsøe,et al. Topology Optimization: "Theory, Methods, And Applications" , 2011 .
[24] G. Sved,et al. Structural optimization under multiple loading , 1968 .
[25] Michal Kočvara,et al. Cascading — an approach to robust material optimization , 2000 .
[26] Ole Sigmund,et al. Stress-constrained topology optimization for compliant mechanism design , 2015 .
[27] Anders Klarbring,et al. An Introduction to Structural Optimization , 2008 .
[28] Giuseppe Carlo Calafiore,et al. Optimization under uncertainty with applications to design of truss structures , 2008 .
[29] Julio López,et al. Application of the sequential parametric convex approximation method to the design of robust trusses , 2017, J. Glob. Optim..
[30] James K. Guest,et al. Structural optimization under uncertain loads and nodal locations , 2008 .
[31] Michael Stingl,et al. PENLAB: A MATLAB solver for nonlinear semidefinite optimization , 2013 .
[32] Oliver Stein,et al. How to solve a semi-infinite optimization problem , 2012, Eur. J. Oper. Res..
[33] T. E. Bruns,et al. Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .
[34] Marco Pingaro,et al. An innovative H∞–norm based worst case scenario approach for dynamic compliance optimization with applications to viscoelastic beams , 2017 .
[35] Peter D. Dunning,et al. Robust Topology Optimization: Minimization of Expected and Variance of Compliance , 2013 .
[36] Mathias Stolpe,et al. On the trajectories of the epsilon-relaxation approach for stress-constrained truss topology optimization , 2001 .
[37] Carl-Johan Thore,et al. Large-scale robust topology optimization under load-uncertainty , 2015 .
[38] M. Werme. Designing compliant mechanisms with stress constraints using sequential linear integer programming , 2008 .
[39] Zhan Kang,et al. Robust topology optimization for dynamic compliance minimization under uncertain harmonic excitations with inhomogeneous eigenvalue analysis , 2016 .
[40] Iain S. Duff,et al. MA57---a code for the solution of sparse symmetric definite and indefinite systems , 2004, TOMS.
[41] A. Rietz. Sufficiency of a finite exponent in SIMP (power law) methods , 2001 .
[42] Martin Rumpf,et al. Shape Optimization Under Uncertainty---A Stochastic Programming Perspective , 2008, SIAM J. Optim..
[43] M. Bendsøe,et al. Topology optimization of continuum structures with local stress constraints , 1998 .
[44] M. Patriksson,et al. Stochastic bilevel programming in structural optimization , 2001 .
[45] Y. Kanno,et al. Robustness analysis of trusses with separable load and structural uncertainties , 2006 .
[46] Y. Ben-Haim. Convex models of uncertainty: Applications and implications , 1994 .
[47] G. Cheng,et al. ε-relaxed approach in structural topology optimization , 1997 .
[48] Miguel Carrasco,et al. Minimization of the expected compliance as an alternative approach to multiload truss optimization , 2005 .
[49] I. Doltsinis,et al. ROBUST DESIGN OF STRUCTURES USING OPTIMIZATION METHODS , 2004 .
[50] Arkadi Nemirovski,et al. Robust Truss Topology Design via Semidefinite Programming , 1997, SIAM J. Optim..
[51] Andrej Cherkaev,et al. Minimax optimization problem of structural design , 2008 .
[52] M. Kocvara,et al. Solving stress constrained problems in topology and material optimization , 2012 .
[53] Zhan Kang,et al. Construction and application of an ellipsoidal convex model using a semi-definite programming formulation from measured data , 2016 .
[54] Marco Lombardi,et al. OPTIMIZATION OF UNCERTAIN STRUCTURES USING NON-PROBABILISTIC MODELS , 1998 .
[55] Erik Holmberg,et al. Stress constrained topology optimization , 2013, Structural and Multidisciplinary Optimization.
[56] Francisco Facchinei,et al. Generalized Nash equilibrium problems , 2007, 4OR.
[57] R. Haftka,et al. Structural design under bounded uncertainty-optimization with anti-optimization , 1994 .
[58] Grégoire Allaire,et al. A linearized approach to worst-case design in parametric and geometric shape optimization , 2014 .
[59] M. Patriksson,et al. Existence and Continuity of Optimal Solutions to Some Structural Topology Optimization Problems Incl , 2002 .
[60] R.M.M. Mattheij,et al. On inhomogeneous eigenvalue problems. I , 1987 .
[61] Kai A. James,et al. Structural and Multidisciplinary Optimization Manuscript No. Stress-constrained Topology Optimization with Design- Dependent Loading , 2022 .
[62] N. Olhoff,et al. Reliability-based topology optimization , 2004 .
[63] Daniel A. Tortorelli,et al. Minmax topology optimization , 2012 .
[64] Z. Kang,et al. Reliability-based structural optimization with probability and convex set hybrid models , 2010 .
[65] Ole Sigmund,et al. New Developments in Handling Stress Constraints in Optimal Material Distributions , 1998 .
[66] Julián A. Norato,et al. Stress-based topology optimization for continua , 2010 .
[67] Ole Sigmund,et al. Length scale and manufacturability in density-based topology optimization , 2016, Archive of Applied Mechanics.
[68] M. Bruggi. On an alternative approach to stress constraints relaxation in topology optimization , 2008 .
[69] W. Rudin. Principles of mathematical analysis , 1964 .
[70] Junpeng Zhao,et al. Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices , 2014 .
[71] Francisco Facchinei,et al. Decomposition algorithms for generalized potential games , 2011, Comput. Optim. Appl..
[72] Arkadi Nemirovski,et al. Robust optimization – methodology and applications , 2002, Math. Program..
[73] U. Kirsch,et al. On singular topologies in optimum structural design , 1990 .
[74] J. M. Martínez,et al. A note on the theoretical convergence properties of the SIMP method , 2005 .
[75] G. Cheng,et al. A sequential approximate programming strategy for reliability-based structural optimization , 2006 .
[76] J. Petersson,et al. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .
[77] Y. Kanno. AN IMPLICIT FORMULATION OF MATHEMATICAL PROGRAM WITH COMPLEMENTARITY CONSTRAINTS FOR APPLICATION TO ROBUST STRUCTURAL OPTIMIZATION , 2011 .