We consider a shape optimization problem written in the optimal control form: governing operator is $p$-Laplacian Euclidean space $\\mathbb{R}^d$, cost of an integral type, and variable domain state equation. Conditions that guarantee existence will be discussed various situations. It proved domains have finite perimeter and, under some suitable assumptions, they are open sets. A crucial differ...

The objective of this work is to develop a specialized integrated design tool for MEMS compliant mechanisms from topology to shape optimization. We use the topology optimization technology to obtain an optimal mechanism layout achieving the best overall system performance. This design process is followed by shape optimization to improve stress-based local performance around hinges of the mechan...

The standard geometrical shape optimization method proceed by the application of successive diffeomorphisms close to the identity starting from an initial guessed shape. Consequently, it does not allow for the optimization of the topology which is kept unchanged from one iteration to the other. The topological gradient enables to determine if the inclusion of a small hole of given shape is cost...

This work intends to deal with the optimal kinematic synthesis problem of Tricept parallel manipulator. Observing that cuboid workspaces are desirable for most machines, we use the concept of effective inscribed cuboid workspace, which reflects requirements on the workspace shape, volume and quality, simultaneously. The effectiveness of a workspace is characterized by the dexterity of the manip...