Shape Design with Great Geometrical Deformations Using Continuously Moving Finite Element Nodes
نویسنده
چکیده
| In this paper design sensitivity analysis is applied to solve the TEAM workshop problem 25. In order to justify the use of a gradient method, it is necessary to assume a continuously di erentiable dependence of the sti ness matrix on the design parameters. Since design sensitivity analysis is mainly applicable to optimization problems, where the geometrical parameters undergo small changes only | which is not the case for the problem investigated in this paper | a procedure is proposed, which allows this method to be applied also when the changes in geometry are signi cant. Index terms |Optimization methods, Sensitivity, Magnetostatics, Shape, Nonlinear Magnetics, Finite element methods
منابع مشابه
Shape Optimization of a Capacitive Microswitch
1. Abstract A well designed capacitive micro-machined switch requires small electrostatic pull-in force to easy switch-on and high natural frequencies to fast switch-off. Since the change of geometrical parameters of the bridge (moving part of the switch) affects contrary to one of these aspects, one could search for a shape of the bridge to obtain optimum functioning. The paper deals with desi...
متن کاملA Geometrical-mechanical Interpretation of Gradient-weighted Moving Finite Elements
The usual explanation of the gradient-weighted moving finite element (GWMFE) method has been in terms of its variational interpretation. This paper presents a more intuitive geometrical-mechanical interpretation of GWMFE as a balance of forces on the nodes, forces concentrated onto the nodes by the laws of leverage. It also presents significant simplifications in the “internodal viscosity” term...
متن کاملThe Pattern of Ground Deformations due to Circular Tunneling
This paper presents the results of a recent study about the following aspects relevant to tunneling in soft grounds:e) The domain of deformations due to tunneling in soft ground can be specified within a boundary of a parabolic shape. This boundary is defined by a parabolic formula as a function of a central angle which depends on the soil type i.e., either cohesive or cohesionless. This para...
متن کاملThe Pattern of Ground Deformations due to Circular Tunneling
This paper presents the results of a recent study about the following aspects relevant to tunneling in soft grounds:e) The domain of deformations due to tunneling in soft ground can be specified within a boundary of a parabolic shape. This boundary is defined by a parabolic formula as a function of a central angle which depends on the soil type i.e., either cohesive or cohesionless. This para...
متن کاملMeshless Shape and Motion Design for Multiple Deformable Objects
We present physically based algorithms for interactive deformable shape and motion modeling. We coarsely sample the objects with simulation nodes, and apply a meshless finite element method to obtain realistic deformations at interactive frame rates. This shape deformation algorithm is then used to specify keyframe poses and a smooth interpolating motion is obtained by solving for an energy-min...
متن کامل