Structural optimization: A new dual method using mixed variables

From MaRDI portal
Publication:3710116

DOI10.1002/nme.1620230307zbMath0585.73152OpenAlexW2041052523MaRDI QIDQ3710116

Claude Fleury, V. Braibant

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1002/nme.1620230307




Related Items

Feasible methods for nonconvex nonsmooth problems with applications in green communicationsA mass constraint formulation for structural topology optimization with multiphase materialsEnhanced two-point diagonal quadratic approximation methods for design optimizationTopology optimization using polytopesAn efficient gradient-based optimization algorithm for mechanical systemsAn efficient reliability-based optimization scheme for uncertain linear systems subject to general Gaussian excitationA computational procedure for response statistics-based optimization of stochastic nonlinear FE-modelsNon‐convex dual forms based on exponential intervening variables, with application to weight minimizationOn the augmented subproblems within sequential methods for nonlinear programmingIncomplete series expansion for function approximationSequential approximate optimization using dual subproblems based on incomplete series expansionsApproximated approximations for SAOTopology optimization involving thermo-elastic stress loadsOptimal topologies derived from a phase-field methodFirst-order sequential convex programming using approximate diagonal QP subproblemsOn convex transformability and the solution of nonconvex problems via the dual of FalkPositive definite separable quadratic programs for non-convex problemsTopology optimization of hyperelastic bodies including non-zero prescribed displacementsA multiparametric strategy for the two step optimization of structural assembliesSolving stochastic structural optimization problems by RSM-based stochastic approximation methods -- gradient estimation in case of intermediate variablesCAD-compatible structural shape optimization with a movable Bézier tetrahedral meshTopology optimization in micromechanical resonator designRelaxed error control in shape optimization that utilizes remeshingA stress‐influence‐function with adaptive strength feature approach for stress constrained continuum topology optimization via small‐loop sequential strategyNumerical instabilities and convergence control for convex approximation methodsOn concave constraint functions and duality in predominantly black-and-white topology optimizationEXPLOITING SEMI-ANALYTICAL SENSITIVITIES FROM LINEAR AND NON-LINEAR FINITE ELEMENT ANALYSES FOR COMPOSITE PANEL OPTIMIZATIONTopology optimization utilizing inverse motion based form findingSensitivity analysis and optimum design of elastic-plastic structural systemsSensitivity analysis with the modified Heaviside function for the optimal layout design of multi-component systemsTopology optimization via sequential integer programming and canonical relaxation algorithmUncertainty-oriented topology optimization of interval parametric structures with local stress and displacement reliability constraintsA quadratic approximation for structural topology optimizationTopology optimization in aircraft and aerospace structures designUnnamed ItemUnnamed ItemNumerical solution of an optimal shape design problem with elastic solidsOptimal packing configuration design with finite-circle methodDual methods for discrete structural optimization problemsVery large scale optimization by sequential convex programmingFractional topology optimization of periodic multi-material viscoelastic microstructures with tailored energy dissipationDesign methodology of magnetic fields and structures for magneto-mechanical resonator based on topology optimizationSystem-based approaches for structural optimization of flexible mechanismsOPTIMIZATION OF MECHANICAL SYSTEMS: ON NON-LINEAR FIRST-ORDER APPROXIMATION WITH AN ADDITIVE CONVEX TERMUnnamed ItemMulti-material thermomechanical topology optimization with applications to additive manufacturing: design of main composite part and its support structureA novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertaintiesOptimal Design of Base-Isolated Systems Under Stochastic Earthquake ExcitationOn optimum design of structures and materialsStructural topology and shape optimization for a frequency response problemA comparison of numerical methods for optimal shape design problemsOn sequential approximate simultaneous analysis and design in classical topology optimizationStructural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach