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

DOI10.1002/nme.5203zbMath1352.74237OpenAlexW2223817835MaRDI QIDQ2952986

Jennifer Scott, H. Alicia Kim, Peter D. Dunning, Evgueni E. Ovtchinnikov

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2164/9106

zbMATH Keywords

level-set methodtopology optimizationbuckling constraintssparse direct linear solverblock conjugate gradient eigensolver

Mathematics Subject Classification ID

Related Items (16)

Topology optimization design for buckling analysis related to the size effect ⋮ Improving the overall performance of continuum structures: a topology optimization model considering stiffness, strength and stability ⋮ Level-set topology optimization considering nonlinear thermoelasticity ⋮ A parameter space approach for isogeometrical level set topology optimization ⋮ A strategy for avoiding spurious localized buckling modes in topology optimization ⋮ Topology optimization for disc structures with buckling and displacement constraints ⋮ Gradient-based concurrent topology and anisotropy optimization for mechanical structures ⋮ Finite strain topology optimization with nonlinear stability constraints ⋮ XFEM{\textbackslash}GFEM based approach for topology optimization of extruded beams with enhanced buckling resistance ⋮ Multi-material topology optimization for maximizing structural stability under thermo-mechanical loading ⋮ Topology optimization of multiscale structures considering local and global buckling response ⋮ Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis ⋮ Multi-material topology optimization for thermal buckling criteria ⋮ Topology optimization of functionally-graded lattice structures with buckling constraints ⋮ Topological gradient in structural optimization under stress and buckling constraints ⋮ Towards solving large-scale topology optimization problems with buckling constraints at the cost of linear analyses

Uses Software

• HSL
• NAG
• TOMP
• ARPACK
• HSL_MA97
• lobpcg.m
• DFVLR-SQP

Cites Work

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• Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
• Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation I: Computing an Extreme Eigenvalue
• Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation II: Computing Several Extreme Eigenvalues
• Algorithm 733: TOMP–Fortran modules for optimal control calculations
• ARPACK Users' Guide
• A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods
• Elements of structural optimization.

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