Structural optimisation of multiscale problems based on variational sensitivity analysis

Multiscale analysis for nonlinear variational problems arising from discrete systems

The object of this thesis is the study of high density discrete systems as variational limit of low density discrete energies indexed by the number of nodes of the system itself. In this context the term discreteness should be understood rather broadly as inferring to different scales from crystal lattice to grain structure while the low-to-high density limit refers to the discrete-to-continuum...

Adjoint consistency analysis of residual-based variational multiscale methods

We investigate the conditions under which residual-based variational multiscale methods are adjoint, or dual, consistent for model hyperbolic and elliptic partial differential equations. In particular, while many residual-based variational multiscale stabilizations are adjoint consistent for hyperbolic problems and finite-element spaces, only a few are adjoint consistent for elliptic problems.

On sensitivity analysis of general variational inequalities

It is well known that the Wiener-Hopf equations are equivalent to the general variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the general variational inequalities without assuming the differentiability of the given data. Since the general variational inequalities include classical variational inequalities and complementarity problems as speci...

Sensitivity Analysis for Optimization Problems with Variational Inequality Constraints

Structural Optimization of Slender Robot Arm Based on Sensitivity Analysis

An effective structural optimizationmethod based on a sensitivity analysis is proposed to optimize the variable section of a slender robot arm. The structure mechanism and the operating principle of a polishing robot are introduced firstly, and its stiffness model is established. Then, a design of sensitivity analysis method and a sequential linear programming SLP strategy are developed. At the...