This work focuses the structural topology optimization problem of mass minimization subject to local stress constraints.
Some examples of volume minimization subject to a compliance constraint are presented to demonstrate the effectiveness of the method in dealing with a non-volume constraint.
The demonstration problem chosen is the stacking sequence optimization of a sandwich plate with composite face sheets for weight minimization subject to strength and buckling constraints.
In this work, an optimization based image reconstruction algorithm using constrained, total variation (TV) minimization, subject to data consistency, is developed and evaluated.
Recht and Fazel concluded that nuclear norm minimization subject to affine constraints is equivalent to rank minimization under a certain condition in terms of the rank-restricted isometry property.
The classical variational principles of Kruskal and Kulsrud and Woltjer, which express these problems in terms of energy minimization subject to infinite families of nonlinear, nonlocal constraints, are taken as the basis for a direct method of solution.
This paper adopts parametric models for design optimization and material selection of sandwich panels with the objective of weight and cost minimization subject to structural integrity constraints such as strength, stiffness and buckling resistance.
In the outer loop, the fluid storage of the central part is updated by satisfying mass conservation in the lateral direction, and in the inner loop, the cross-sectional elastic deformation and the influxes to the filling parts are found by satisfying energy minimization subject to an equality constraint on the central-part volume of a cell.
With the dimensionless treatment of the stiffness model, a global performance index is proposed for minimization subject to a set of appropriate constraints generated as a result of in-depth discussion, leading to only one of four geometric parameters to be determined for achieving a compact, lightweight yet rigid design.
With the motivation that the fixed order control problem can be casted to a non-convex quadratic objective function minimization subject to linear matrix inequality (LMI) constraints, a quadratic semidefinite programming (SDP) problem is solved by primal dual interior point method (IPM).
