The most promising method for micro scale energy scavenging is via vibration energy harvesting which converts mechanical energy to electrical energy. Using piezoelectric cantilevers is the most common method for vibration energy harvesting. Changing the shape of the cantilevers can lead to changing the generated output voltage and power. In this work vibration energy harvesting via piezoelectri...

This study focuses on the optimization of the plane structure. Sequential quadratic programming (SQP) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. A new formulation for the second order sensitivity analysis of the two-dimensional finite element will be developed. All the second order required derivatives will be calculat...

1. Abstract In this contribution an innovative method for shape optimization with parametrization directly on FE mesh is proposed. The major shortcomings of CAD-free parametrization are discussed and global filter techniques are presented in this context. A global filter for shape optimization with FE-parametrization is developed and applied to numerical examples of basic shapes. The influence ...

Shape optimization based on the shape calculus is numerically mostly performed by means of steepest descent methods. This paper provides a novel framework to analyze shapeNewton optimization methods by exploiting a Riemannian perspective. A Riemannian shape Hessian is defined yielding often sought properties like symmetry and quadratic convergence for Newton optimization methods.

Docking simulates molecular interactions. Protein protein docking, owing to the sizes of molecules, is a very challenging problem. As the number of degrees of freedom in the molecular structure of proteins is huge, docking algorithms consider the molecules as relatively rigid bodies. Shape matching of two protein molecules is computationally difficult because the possibilities of matching the m...

Abstract. This paper is concerned with a shape sensitivity analysis of a viscous incompressible fluid driven by Stokes equations with nonhomogeneous boundary condition. The structure of shape gradient with respect to the shape of the variable domain for a given cost function is established by using the differentiability of a minimax formulation involving a Lagrangian functional combining with f...

We present a geometric approach to statistical shape analysis of closed curves in images. The basic idea is to specify a space of closed curves satisfying given constraints, and exploit the differential geometry of this space to solve optimization and inference problems. We demonstrate this approach by: (i) defining and computing statistics of observed shapes, (ii) defining and learning a param...

Truss systems are widely used in engineering practice, mainly due to the economy, simple manufacturing, transportation and storage. These systems form the framework of such constructions as bridges, towers, roof supporting structures, etc. Usually a truss system includes a large number of elements (trusses), which can have different parameters (length, cross-sectional area, shape of crosssectio...