Development of Shape Optimization Technique Based on The Basis Vector Method

1995 ◽  
Author(s):  
Junichi Fukushima ◽  
Yoshiaki Kobayashi ◽  
Mikio Nakamura ◽  
Yasuhiko Otsubo ◽  
Keisuke Kurumatani
Keyword(s):  
Shape Optimization ◽  
Optimization Technique ◽  
Basis Vector ◽  
Vector Method

Basis Vector Method and Shape Optimization

2000 ◽  
Vol 2000.4 (0) ◽  
pp. 99-104 ◽  
Author(s):  
Xilu ZHAO ◽  
Kazuhiko NAKAMURA ◽  
Masashi ENDOU ◽  
Takashi NATORI
Keyword(s):  
Shape Optimization ◽  
Basis Vector ◽  
Vector Method

scholarly journals Shape Optimum Design by Basis Vector Method Considering Partial Shape Dependence

2020 ◽  
Vol 10 (21) ◽  
pp. 7848
Author(s):  
Qiong Wu ◽  
Hairui Zhang ◽  
Wei Zhao ◽  
Xilu Zhao
Keyword(s):  
Shape Optimization ◽  
Basis Vector ◽  
The Body ◽  
External Boundary ◽  
Structural Shape ◽  
Vector Method ◽  
Local Shape ◽  
Structural Shape Optimization ◽  
Engine Mount ◽  
Complex Structural

Regarding the case of complicated structural shape optimization, there are cases where there are partial shapes such as holes and irregularities inside the structure. Concerning the complex structural optimization shape, the relationship between the external boundary shape and the internal local shape should be maintained, and how to change the internal partial shape while maintaining a subordinate relationship with the external form has become an important issue. Currently, there is no good solution to this kind of problem using general optimization design software. Therefore, this paper proposes to use the basic vector method to solve the local shape dependency problem of partial shapes. First, this paper classifies the subordinate problems of partial shape into three primary patterns, theoretically proving a method for controlling subordinate relationships of partial forms, respectively. Then, the research also provides two classical application examples: shape optimization of a steam turbine implantation section and stress distribution optimization of an engine mount bracket. The results show that the optimization method is effective for the partial shape subordination problem in complex structural shape optimization problems. Finally, the study examines the problem of making a vectorial vector, a correlation between the basis vector and the remeshing problem of the analysis model in shape optimization, and further substantiates the validity of the method proposed by the body using the analysis result of the actual structural shape optimization case.

OPTIMUM DESIGN OF CANTILEVERED MICROPROBES FOR INSPECTING LCD PANELS AND MEASUREMENT OF CONTACTING FORCES

2010 ◽  
Vol 24 (15n16) ◽  
pp. 2429-2434 ◽  
Author(s):  
CHEOL KIM ◽  
KWANG-JOONG KIM
Keyword(s):  
Shape Optimization ◽  
Optimum Design ◽  
Measuring Equipment ◽  
Optimization Technique ◽  
Experimental Results ◽  
Design Requirement ◽  
Fine Pitch ◽  
Mems Fabrication ◽  
Topology And Shape Optimization ◽  
Design Requirements

Fine pitch microprobe arrays are microneedle-like probes for inspecting the pixels of LCD panels or IC. They are usually made of multi-layers of metallic, nonmetallic, or combination of the two. The design requirement for a contacting force is less than 2 gf and a deflection should be less than 100 µm. Many microprobe shapes satisfying the design requirements are possible. A cantilever-type microprobe having many needles was chosen and optimized in this study. Several candidate shapes were chosen using topology and shape optimization technique subjected to design requirements. Then, the microprobe arrays were fabricated using the process applied for MEMS fabrication and they were made of BeNi , BeCu , or Si . The contact probing forces and deflections were measured for checking the results from optimum design by newly developed measuring equipment in our laboratory. Numerical and experimental results were compared and both showed a good correlation.

Golf Clubhead Optimization Based on Contribution of Eigenmodes

2019 ◽  
Vol 17 (01) ◽  
pp. 1843007
Author(s):  
Zhiqiang Wu ◽  
Yuji Sogabe ◽  
Yutaka Arimitsu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Coefficient Of Restitution ◽  
Basis Vector ◽  
Computational Results ◽  
Vector Method ◽  
Optimization System ◽  
Sensitivity Functions ◽  
Basis Vectors ◽  
Impact Problem

This study is aimed to optimize a golf clubhead for the purposes of maximizing the driving distance. Since the sensitivity-based approaches cannot be applied in impact problem, the authors developed an optimization system by using basis vector method. The relation between the eigenfrequencies and the coefficient of restitution is examined with finite element method (FEM) models numerically at first. Based on evaluating the contribution of eigenmodes, the authors proposed an approach to create the basis vectors using the sensitivity functions of eigenvalues. Computational results are presented for demonstrating the effectiveness of the proposed approach.

scholarly journals On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Jerico B. Bacani ◽  
Julius Fergy T. Rabago
Keyword(s):  
Free Boundary ◽  
Shape Optimization ◽  
Optimization Technique ◽  
Velocity Fields ◽  
Second Order ◽  
Shape Derivative ◽  
State Variables ◽  
Derivatives Of ◽  
Objective Functional ◽  
Perturbation Of Identity

The exterior Bernoulli free boundary problem was studied via shape optimization technique. The problem was reformulated into the minimization of the so-called Kohn-Vogelius objective functional, where two state variables involved satisfy two boundary value problems, separately. The paper focused on solving the second-order shape derivative of the objective functional using the velocity method with nonautonomous velocity fields. This work confirms the classical results of Delfour and Zolésio in relating shape derivatives of functionals using velocity method and perturbation of identity technique.

Shape Transformation of Bone Using Basis Vector Method

2003 ◽  
Vol 2003.7 (0) ◽  
pp. 9-10
Author(s):  
Yoshimi OMURA ◽  
Jiro SAKAMOTO ◽  
Daisuke TAWARA ◽  
Juhachi ODA
Keyword(s):  
Basis Vector ◽  
Shape Transformation ◽  
Vector Method

Optimization of Contact Problem by Genetic Algorithm Method

2011 ◽  
Vol 105-107 ◽  
pp. 386-391 ◽  
Author(s):  
Jan Szweda ◽  
Zdenek Poruba
Keyword(s):  
Genetic Algorithm ◽  
Contact Problem ◽  
Shape Optimization ◽  
Optimization Problem ◽  
Optimization Technique ◽  
Contact Problems ◽  
Global Optimum ◽  
Genetic Algorithm Method ◽  
Characteristic Features ◽  
Contact Shape

In this paper is discussed the way of suitable numerical solution of contact shape optimization problem. The first part of the paper is focused on method of global optimization field among which the genetic algorithm is chosen for computer processing and for application on contact problem optimization. The brief description of this method is done with emphasis of its characteristic features. The experiment performed on plane structural problem validates the ability of genetic algorithm in search the area of the global optimum. On the base of the research described in this work, it is possible to recommend optimization technique of genetic algorithm to use for shape optimization of engineering contact problems in which it is possible for any shape to achieve successful convergence of contact task solution.

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