Review of options for structural design sensitivity analysis. I: Linear systems
From MaRDI portal
Publication:2495615
DOI10.1016/j.cma.2005.02.002zbMath1091.74040OpenAlexW1976550039MaRDI QIDQ2495615
Raphael T. Haftka, Nam Ho Kim, Fred van Keulen
Publication date: 30 June 2006
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2005.02.002
Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Optimization problems in solid mechanics (74P99)
Related Items
On higher-order differentiation in nonlinear mechanics ⋮ An extension of shape sensitivity analysis to an immersed boundary method based on Cartesian grids ⋮ An adaptive approach to adjust constraint bounds and its application in structural topology optimization ⋮ A gradient-based shape optimization scheme using an interface-enriched generalized FEM ⋮ An efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem ⋮ Automation of primal and sensitivity analysis of transient coupled problems ⋮ A modified gradient projection method for static and dynamic topology optimization ⋮ Computational methods in optimization considering uncertainties - An overview ⋮ Explicit level-set-based topology optimization using an exact Heaviside function and consistent sensitivity analysis ⋮ An optimal method for seismic drift design of concrete buildings using gradient and Hessian matrix calculations ⋮ Structural dynamic shape optimization and sensitivity analysis based on RKPM ⋮ Boundary element sensitivity evaluation for elasticity problems using complex variable method ⋮ Shape sensitivity analysis with design-dependent loadings -- equivalence between continuum and discrete derivatives ⋮ Approximated approximations for SAO ⋮ Isogeometric design of elastic arches for maximum fundamental frequency ⋮ Global laminate optimization on geometrically partitioned shell structures ⋮ On the sensitivities of multiple eigenvalues ⋮ Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment ⋮ First-order sequential convex programming using approximate diagonal QP subproblems ⋮ Fixed-mesh curvature-parameterized shape optimization of an acoustic horn ⋮ Simultaneous shape and topology optimization of shell structures ⋮ Shape design sensitivities improvement using convected unstructured meshes ⋮ Variational sensitivity analysis of a nonlinear solid shell element ⋮ A modified extended finite element method approach for design sensitivity analysis ⋮ Isogeometric shape optimization for quasi-static processes ⋮ Analytical sensitivity analysis using the extended finite element method in shape optimization of bimaterial structures ⋮ JAX-FEM: a differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science ⋮ Topology optimization of heat conduction problems using the finite volume method ⋮ Eigensensitivity analysis of damped systems with distinct and repeated eigenvalues ⋮ Towards simultaneous reduction of both input and output spaces for interactive simulation-based structural design ⋮ A generic approach for the solution of nonlinear residual equations. III: Sensitivity computations ⋮ A new method for creating sparse design velocity fields ⋮ Shape and topology optimization ⋮ Streamline stiffener path optimization (SSPO) for embedded stiffener layout design of non-uniform curved grid-stiffened composite (NCGC) structures ⋮ Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis ⋮ Vertex assigned morphing for parameter free shape optimization of 3-dimensional solid structures ⋮ A fixed mesh method with immersed finite elements for solving interface inverse problems ⋮ Sensitivity analysis for dynamic mechanical systems with finite rotations ⋮ Inverse homogenization using isogeometric shape optimization ⋮ System-based approaches for structural optimization of flexible mechanisms ⋮ A parametric mapping method for curve shape optimization on 3D panel structures ⋮ A numerical method of calculating first and second derivatives of dynamic response based on Gauss precise time step integration method ⋮ Sensitivity computations in higher order continuation methods ⋮ Parametric solutions involving geometry: a step towards efficient shape optimization ⋮ An evolutionary topology optimization approach with variationally controlled growth ⋮ A review of flexible multibody dynamics for gradient-based design optimization ⋮ Fractional sensitivity equation method: application to fractional model construction
Uses Software
Cites Work
- Physically based sensitivity derivatives for structural analysis programs
- First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
- Design-oriented analysis of structures. A unified approach
- Sensitivity analysis of linear elastic systems using domain parameterization and a mixed mutual energy principle
- Accuracy of semi-analytic sensitivity analysis
- Structural shape optimization - A survey
- Design sensitivity analysis of structural systems
- Design sensitivity analysis of nonlinear buckling load
- Accuracy problems associated with semi-analytical derivatives of static response
- An improved computational method for sensitivity analysis: Green's function method with 'AIM'
- Systematic occurrence of repeated eigenvalues in structural optimization
- On single and bimodal optimum buckling loads of clamped columns
- Direct differentiation formulation for boundary element shape sensitivity analysis of axisymmetric elastic solids
- An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients
- Design sensitivity analysis for rate-independent elastoplasticity
- A study of design velocity field computation for shape optimal design
- Parameter sensitivity of inelastic buckling and post-buckling response
- Comparison of shape design sensitivity analysis formulations via material derivative-adjoint variable and implicit differentiation techniques for 3-D and 2-D curved boundary element
- A PDE sensitivity equation method for optimal aerodynamic design
- Design sensitivity analysis in dynamic thermoviscoelasticity with implicit integration
- Meshless shape design sensitivity analysis and optimization for contact problem with friction
- Design sensitivity analysis and shape optimization of structural components with hyperelastic material
- Shape optimization of elasto-plastic structures and continua
- Internal variables and their sensitivities in three-dimensional linear elasticity by the boundary contour method
- Shape optimization for non-smooth geometry in two dimensions
- Shape sensitivity analysis for energy release rate evaluation and its application to the study of three-dimensional cracked bodies
- Design sensitivity of post-buckling states including material constraints
- High-order shape design sensitivity: A unified approach
- Shape sensitivity analysis in linear elastic fracture mechanics
- Shape variable definiton with \(C^0\), \(C^1\) and \(C^2\) continuity functions
- Refined semi-analytical design sensitivities
- Parallelized structural topology optimization for eigenvalue problems
- Optimal design for polymer extrusion. I: Sensitivity analysis for nonlinear steady-state systems. II: Sensitivity analysis for weakly-coupled nonlinear steady-state systems
- A shape optimization approach based on natural design variables and shape functions
- A material derivative approach in design sensitivity analysis of three-dimensional contact problems
- Higher-order sensitivity analysis of finite element method by automatic differentiation
- Approximate method to compute the eigenvalues and eigensensitivities of mechanical systems
- Structural sensitivity analysis via reduced-order analytical model
- Application of an automatic differentiation method to a 2D Navier-Stokes CFD code
- Efficient redesign of damped large structural systems via domain decomposition with exact dynamic condensation
- An exposition of the material derivative approach for structural shape sensitivity analysis
- A practical algorithm for the efficient computation of eigenvector sensitivities
- Dynamic sensitivity analysis of frictional contact/impact response of axisymmetric composite structures
- Fast exact linear and non-linear structural reanalysis and the Sherman-Morrison-Woodbury formulas
- Improvement of semi-analytical design sensitivities of non-linear structures using equilibrium relations
- Advanced solution methods in topology optimization and shape sensitivity analysis
- Die shape design optimization of sheet metal stamping process using meshfree method
- On the Construction of Deflation-Based Preconditioners
- Sensitivity analysis in post-buckling problems of shell structures
- Design sensitivity analysis of critical load factor for nonlinear structural systems
- Shape optimization of structures: a literature survey
- Design sensitivity analysis and optimization of nonlinear structuralresponse using incremental procedure
- Modal design sensitivities for multiple eigenvalues
- Calculation of eigenvector derivatives for structures with repeated eigenvalues
- 3‐D shape optimal design and automatic finite element regridding
- Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration
- Techniques for thermal sensitivity analysis
- Calculation of sensitivity derivatives in thermal problems by finite differences
- Three-dimensional shape optimization
- An iterative method for finite dimensional structural optimization problems with repeated eigenvalues
- Accelerated subspace iteration for eigenvector derivatives
- Structural shape sensitivity analysis - Relationship between material derivative and control volume approaches
- An alternative formulation for design sensitivity analysis of linear structural dynamic systems
- Simplified calculation of eigenvector derivatives
- Calculation of Eigenvalue and Eigenvector Derivatives for Algebraic Flutter and Divergence Eigenproblems
- Sensitivity analysis of frictional contact/ impact response on distributed-memory computers
- Buckling sensitivity analysis and optimal design of thin laminated structures
- Sensitivity analysis of truss structures (virtual distortion method approach)
- Semi-analytical static nonlinear structural sensitivity analysis
- Design Sensitivity Analysis of Structural Frequency Response
- Exact nth derivatives of eigenvalues and eigenvectors
- Iterative computation of second‐order derivatives of eigenvalues and eigenvectors
- Design sensitivity analysis for repeated eigenvalues in structural design
- Implementation of design sensitivity analysis for nonlinear elastic structures
- Structural optimization based on preconditioned conjugate gradient analysis methods
- Tangent operators and design sensitivity formulations for transient non‐linear coupled problems with applications to elastoplasticity
- Second‐order sensitivity analysis in vibration and buckling problems
- Sensitivity analysis and related analyses: A review of some statistical techniques
- THREE-DIMENSIONAL DESIGN SENSITIVITY ANALYSIS USING A BOUNDARY INTEGRAL APPROACH
- Accelerated Iterative Procedure for Calculating Eigenvector Derivatives
- Structural Reanalysis for General Layout Modifications
- Algorithm 755: ADOL-C
- Iterative least-squares calculation for modal eigenvector sensitivity
- Sensitivity analysis of the contact/impact response of composite structures
- Consideration of body forces in axisymmetric design sensitivity analysis using the BEM
- Using Complex Variables to Estimate Derivatives of Real Functions
- Analytic sensitivities and design oriented structural analysis for airplane fuselage shape synthesis
- Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration
- Die shape optimal design in three-dimensional shape metal extrusion by the finite element method
- Sensitivity analysis and design optimization of three-dimensional non-linear aeroelastic systems by the adjoint method
- Extending the functionality of the general-purpose finite element package SEPRAN by automatic differentiation
- On Efficient Solutions to the Continuous Sensitivity Equation Using Automatic Differentiation
- Meshfree analysis and design sensitivity analysis for shell structures
- A General Continuous Sensitivity Equation Formulation for thek-εModel of Turbulence
- Rigid body motion test against error in semi-analytical sensitivity analysis
- Interior point tracking in shape evolving unstructured finite element meshes
- Efficient computation of modal sensitivities for systems with repeated frequencies
- Refined second order semi‐analytical design sensitivities
- Efficient sensitivity analysis for rotary-wing aeromechanical problems
- Continuum approach for second-order shape design sensitivity of three-dimensional elastic solids
- Calculation of second and higher order eigenvector derivatives
- A unified parametric design approach to structural shape optimization
- Optimum aerodynamic shape design including mesh adaptivity
- Analytical shape sensitivity computation using hybrid finite elements
- Numerical Differentiation of Analytic Functions
- Rates of change of eigenvalues and eigenvectors.
- Elements of structural optimization.
- Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item