A material derivative approach in design sensitivity analysis of three-dimensional contact problems

2002 ◽  
Vol 39 (8) ◽  
pp. 2087-2108 ◽  
Author(s):  
Nam Ho Kim ◽  
Kiyoung Yi ◽  
Kyung Kook Choi
Keyword(s):  
Sensitivity Analysis ◽  
Three Dimensional ◽  
Contact Problems ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Material Derivative

Design Sensitivity Analysis for the Meshfree Shell Structure

2001 ◽  
Author(s):  
Kyung K. Choi ◽  
Nam H. Kim ◽  
Mark E. Botkin
Keyword(s):  
Sensitivity Analysis ◽  
Shell Structure ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Analysis Method ◽  
Sensitivity Equation ◽  
Material Derivative ◽  
Design Variables ◽  
Sensitivity Analysis Method ◽  
Shell Formulation

Abstract A unified design sensitivity analysis method for a meshfree shell structure with respect to sizing, shape, and configuration design variables is presented in this paper. A shear deformable shell formulation is characterized by a CAD connection, thickness degeneration, meshfree discretization, and nodal integration. The design variable is selected from the CAD parameters, and a consistent design velocity field is then computed by perturbing the surface geometric matrix. The material derivative concept is used to obtain a design sensitivity equation in the parametric domain. Numerical examples show the accuracy and efficiency of the proposed design sensitivity analysis method compared to the analytical solution and the finite difference solution.

Three-dimensional optimum design of the cooling lines of injection moulds based on boundary element design sensitivity analysis

2002 ◽  
Vol 216 (7) ◽  
pp. 1067-1071 ◽  
Author(s):  
H Zhou ◽  
D Li ◽  
S Cui
Keyword(s):  
Sensitivity Analysis ◽  
Objective Function ◽  
Boundary Element ◽  
Optimum Design ◽  
Three Dimensional ◽  
Design Sensitivity ◽  
Boundary Integral ◽  
Optimization Techniques ◽  
Design Sensitivity Analysis ◽  
Design Variables

A three-dimensional numerical simulation using the boundary element method is proposed, which can predict the cavity temperature distributions in the cooling stage of injection moulding. Then, choosing the radii and positions of cooling lines as design variables, the boundary integral sensitivity formulations are deduced. For the optimum design of cooling lines, the squared difference between the objective temperature and the temperature of the cavity is taken as the objective function. Based on the optimization techniques with design sensitivity analysis, an iterative algorithm to reach the minimum value of the objective function is introduced, which leads to the optimum design of cooling lines at the same time.

Numerical Considerations in Structural Component Shape Optimization

1985 ◽  
Vol 107 (3) ◽  
pp. 334-339 ◽  
Author(s):  
R. J. Yang ◽  
K. K. Choi ◽  
E. J. Haug
Keyword(s):  
Sensitivity Analysis ◽  
Finite Element ◽  
Shape Optimization ◽  
Structural Component ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Test Problems ◽  
Material Derivative ◽  
Boundary Shape ◽  
Component Shape

A unified design sensitivity analysis theory and a linearization method of optimization are employed for structural component shape optimization. A material derivative method for shape design sensitivity analysis, using the variational formulation of the equations of elasticity and the finite element method for numerical analysis, is used to calculate derivatives of stress and other structural response measures with respect to boundary shape. Alternate methods of boundary shape parameterization are investigated, through solution of two test problems that have been treated previously by other methods: a fillet and a torque arm. Numerical experiments with these examples and a variety of finite element models show that component shape optimization requires careful selection of boundary parameterization, finite element model, and finite element grid refinement techniques.

Optimal Chip Layout on a Printed Circuit Board Using Design Sensitivity Analysis of Subdomain Configuration

1995 ◽  
Vol 117 (4) ◽  
pp. 275-280 ◽  
Author(s):  
Seo Jin Joo ◽  
Byung Man Kwak
Keyword(s):  
Sensitivity Analysis ◽  
Printed Circuit Board ◽  
Adjoint System ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Circuit Board ◽  
Material Derivative ◽  
Printed Circuit ◽  
Shape Design Sensitivity ◽  
Design Velocity

A chip layout problem is formulated as a new class of shape optimal design called a subdomain optimization, where the chips correspond to subdomains whose configuration and location are to be decided. Shape design sensitivity analysis for a perturbed subdomain is made based on the concept of material derivative and adjoint system. Introducing a suitable category of design velocity fields, the change of the configuration is adequately describable. Sensitivities and optimal positions of chips on a printed circuit board are obtained and their accuracy discussed.

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