A non convex minimum problem on a square arising in shape optimization is studied. Conditions are discussed for the existence or the non existence of solutions.

The transform relation between the meshing position and rotation angle of a cylindrical gear pair is firstly derived according to the theory of gear meshing. Then the technique of building the assembly model of a cylindrical gear pair at specified meshing position in ANSYS is researched. On this basis, a new method to perform static contact analysis of cylindrical gear at any meshing location i...

All-metallic sandwich panels with prismatic cores are being currently investigated for combined structural and active cooling performance. We present a new approach to active cooling performance, and use it to optimize the panel geometry for four different systems: aluminum-air, aluminum-water, aluminum-gasoline and titanium-gasoline. The results show that some geometric parameters can be fixed...

Abstract: We consider the control problem with multidimensional integral functional where state and control satisfy a system of the first order hyperbolic PDE. Next, a type of deformation with control of the domain is described and then we define suitable shape functional. Having defined trajectory and control of deformation the dual dynamic programming tools are applied to derive optimality co...

vided the structural mechanics computations in the joint paper [135]. Beyond the fruitful cooperation, my special thanks go to Sebastian for helping out many times in any kind of issue related to this dissertation. I also appreciate the Deutsche Forschungsgemeinschaft (DFG) for financial support in the Graduiertenkolleg 853 " Modellierung, Simulation und Optimierung von Ingenieuranwen-dungen " .

A novel optimisation framework using an adjoint cost sensitivity calculation, and integrating computer simulations of fluid dynamics, rigid body dynamics and control is proposed. A generic tail-fin steered missile under closed-loop control is used to show that the framework is able to generate a detailed geometrical tail-fin design and tune control performance parameters that are directly relat...

Pedestrians adjust both speed and stride length when they navigate difficult situations such as tight corners or dense crowds. They do this with foresight reacting instantly when they encounter the difficulty. This has an impact on the movement of the whole crowd especially at bottlenecks where slower movement and smaller steps can be observed. State-of-the-art pedestrian motion models automati...

This paper is concerned with the optimization of the cutting pattern for the lobes of pumpkin-shaped balloon structures. Pumpkin balloons, currently developed for the NASA Ultra-Long Duration Balloon (ULDB), consist of stiff meridional tendons that constrain a thin plastic film. The present study shows that the maximum stability of pumpkin balloons is reached if their surface area is minimized ...

We consider Cheeger-like shape optimization problems of the form min { |Ω|J(Ω) : Ω ⊂ D } where D is a given bounded domain and α is above the natural scaling. We show the existence of a solution and analyze as J(Ω) the particular cases of the compliance functional C(Ω) and of the first eigenvalue λ1(Ω) of the Dirichlet Laplacian. We prove that optimal sets are open and we obtain some necessary ...

two main goals are being pursued in this paper. first, a brief summary of the structural optimization methods is presented. although most of these methods are general and are used in analysis and design of skeletal as well as continuous structures, discussion is more often directed towards the shape optimization .the second second goal of this paper is to present a new method for sensitivity an...