Shape Optimal Design by the Convex Linearization Method

The problem of the optimization of the geometry of shafts is formulated in terms of boundary elements. The corresponding nonlinear programming problem is solved by Pshenichny’s Linearization method. The advantages of the boundary element method over the finite element method for optimal design of shafts are discussed, with reference to the applications.

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The Statistical Catastrophe Theory and Optimal Probability Based Design

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.741.283 ◽

2015 ◽

Vol 741 ◽

pp. 283-286 ◽

Cited By ~ 3

Author(s):

Aleksandr Vasilyevich Pitukhin ◽

Igor Skobtsov

Keyword(s):

Optimal Design ◽

Catastrophe Theory ◽

Moment Method ◽

Reliability Function ◽

Linearization Method ◽

Function Evaluation ◽

Statistical Linearization ◽

Stationary Processes ◽

Short Introduction ◽

Optimal Probability

This paper deals with the statistical catastrophe theory method for the optimal design of machine components. A short introduction to the catastrophe theory is presented, the statement of optimal design problem is given in the first part of the paper. A single criterion design is presented; the reliability function is used as the objective function. The last part is focused on probability approach. Manage variables are viewed as random stationary processes, statistical linearization method and Pearson moment method are used for the reliability function evaluation.

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Shape Optimal Structural Design Using Boundary Elements and Minimum Compliance Techniques

Journal of Mechanisms Transmissions and Automation in Design ◽

10.1115/1.3258604 ◽

1984 ◽

Vol 106 (4) ◽

pp. 518-523 ◽

Cited By ~ 39

Author(s):

C. A. Mota Soares ◽

H. C. Rodrigues ◽

K. K. Choi

Keyword(s):

Optimal Design ◽

Structural Design ◽

Degrees Of Freedom ◽

Boundary Elements ◽

Linearization Method ◽

Two Dimensional ◽

Structural Components ◽

Advantages And Disadvantages ◽

Minimum Compliance ◽

Element Technique

Shape optimal design of two-dimensional elastic components is formulated using boundary elements. The design objective is to minimize compliance of the structure, subject to an area constraint. All degrees of freedom of the model are at the boundary and there is no need for calculating displacements and stresses in the domain. Formulations based on linear and quadratic boundary elements are developed. The corresponding nonlinear programing problem is solved by Pshenichny’s linearization method. The model is applied to shape optimal design of several elastic structural components. The advantages and disadvantages of the boundary element method over the finite element technique for shape optimal design of structures are discussed, with reference to applications.

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Optimal design of nonlinear damping system for seismically-excited adjacent structures using multi-objective genetic algorithm integrated with stochastic linearization method

Journal of the Earthquake Engineering Society of Korea ◽

10.5000/eesk.2007.11.6.001 ◽

2007 ◽

Vol 11 (6) ◽

pp. 1-14

Keyword(s):

Genetic Algorithm ◽

Optimal Design ◽

Nonlinear Damping ◽

Linearization Method ◽

Multi Objective ◽

Multi Objective Genetic Algorithm ◽

Adjacent Structures ◽

Stochastic Linearization

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On the admissibility and nonadmissibility of the usual estimator for the mean of multivariate normal population and conclusions to optimal design

Optimization ◽

10.1080/02331937408842218 ◽

1974 ◽

Vol 5 (7) ◽

pp. 591-597

Author(s):

H. Lätter

Keyword(s):

Optimal Design ◽

Normal Population ◽

Multivariate Normal ◽

Usual Estimator ◽

Multivariate Normal Population ◽

The Mean

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The Optimal Design of Chemical Reactors - A Study in Dynamic Programming

10.1016/s0076-5392(08)x6191-0 ◽

1961 ◽

Keyword(s):

Dynamic Programming ◽

Optimal Design ◽

Chemical Reactors

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Crack divergence phenomena in tempered glass

Strength Fracture and Complexity ◽

10.3233/sfc-204002 ◽

2020 ◽

Vol 13 (3) ◽

pp. 115-129

Author(s):

Shin’ichi Aratani

Keyword(s):

Optimal Design ◽

High Speed ◽

Glass Plate ◽

Acute Angle ◽

Divergence Angle ◽

High Speed Photography ◽

Tempered Glass ◽

Thick Glass

High speed photography using the Cranz-Schardin camera was performed to study the crack divergence and divergence angle in thermally tempered glass. A tempered 3.5 mm thick glass plate was used as a specimen. It was shown that two types of bifurcation and branching existed as the crack divergence. The divergence angle was smaller than the value calculated from the principle of optimal design and showed an acute angle.

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G Optimal Design in Non linear Models to Increase Silicon Oxide Purity Levels and Electrical Conductivity

International Journal of Scientific Research in Science Engineering and Technology ◽

10.32628/ijsrset21841110 ◽

2018 ◽

pp. 150-155

Author(s):

Muklas Rivai

Keyword(s):

Electrical Conductivity ◽

Optimal Design ◽

Linear Models ◽

Silicon Oxide ◽

Information Matrix ◽

Relevant Information ◽

Non Linear

Optimal design is a design which required in determining the points of variable factors that would be attempted to optimize the relevant information so that fulfilled the desired criteria. The optimal fulfillment criteria based on the information matrix of the selected model.

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