Design sensitivity analysis of non-linear structural systems part I: Theory

DOI10.1002/nme.1620241103zbMath0621.73110OpenAlexW1987413656MaRDI QIDQ3758380

José L. T. Santos, Kyung Kook Choi

Publication date: 1987

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.1620241103

zbMATH Keywords

beamlinearizationprinciple of virtual workplatedesign sensitivity analysisequilibrium equationsdistributed parameteradjoint variable methodtrussincremental equationsupdated Lagrangian formulationsgeometric and material nonlinearitiestotal Lagrangiannonlinear structural systemsplane elastic solidSizing design variables

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99)

Related Items (22)

An exposition of the material derivative approach for structural shape sensitivity analysis ⋮ Topology optimization for effective energy propagation in rate-independent elastoplastic material systems ⋮ Shape design sensitivity analysis of viscoplastic structures ⋮ Design variations of nonlinear elastic structures subjected to follower forces ⋮ Parameter sensitivity of inelastic buckling and post-buckling response ⋮ Shape sensitivity analysis for structural problems with non-linear material behaviour ⋮ Numerical implementation of a CTO-based implicit approach for the BEM solution of usual and sensitivity problems in elasto-plasticity ⋮ Design sensitivity analysis and topology optimization of displacement-loaded nonlinear structures. ⋮ Unnamed Item ⋮ A generic approach for the solution of nonlinear residual equations. III: Sensitivity computations ⋮ Sensitivity analysis and optimization for non‐linear structural response ⋮ Sensitivity analysis and optimal design of non-linear structures ⋮ Topology and shape optimization for elastoplastic structural response. ⋮ Configuration design sensitivity analysis of dynamics for constrained mechanical systems ⋮ Global stability-based design optimization of truss structures using multiple objectives ⋮ Solving membrane stress on deformed configuration using inverse elastostatic and forward penalty methods ⋮ Nonlinear structural design sensitivity analysis for path dependent problems. I: General theory ⋮ \(h\)-\(p\) adaptive model based approximation of moment free sensitivity indices ⋮ Design sensitivity analysis and shape optimization of structural components with hyperelastic material ⋮ Dynamic response sensitivity of inelastic structures ⋮ Design sensitivity analysis method for multidisciplinary shape optimisation problems with linear and non‐linear responses ⋮ Finite element response sensitivity analysis: a comparison between force-based and displacement-based frame element models

Cites Work

• Unnamed Item
• Design sensitivity analysis of structural systems

This page was built for publication: Design sensitivity analysis of non-linear structural systems part I: Theory