Necessary conditions for optimal design of structures with a nonsmooth eigenvalue based criterion

1995 ◽  
Vol 9 (1) ◽  
pp. 52-56 ◽  
Author(s):  
H. C. Rodrigues ◽  
J. M. Guedes ◽  
M. P. Bendsøe
Keyword(s):  
Optimal Design ◽  
Necessary Conditions

Remarks on Conditions for the Validity of Parametric Decomposition in Optimal Design

1990 ◽  
Author(s):  
J. R. Jagannatha Rao ◽  
Panos Y. Papalambros
Keyword(s):  
Optimal Design ◽  
Present Article ◽  
Original Problem ◽  
Necessary Conditions ◽  
Special Problem ◽  
Problem Structure ◽  
Globally Convergent ◽  
Parametric Decomposition ◽  
Practical Design ◽  
Decomposition Strategies

Abstract Decomposition strategies are used in a variety of practical design optimization applications. Such decompositions are valid, if the solution of the decomposed problem is in fact also the solution to the original one. Conditions for such validity are not always obvious. In the present article, we develop conditions for two-level parametric decomposition under which: (1) isolated minima at the two levels imply an isolated minimum for the original problem; (2) necessary conditions at the two-levels are equivalent to the necessary conditions for the original problem; and, (3) a descent algorithm for computing Karush-Kuhn-Tucker points in decomposition formulations is globally convergent. Since no special problem structure is assumed, the results are general and could be used to evaluate the suitability of a variety of approaches and algorithms for decomposition strategies.

Crack divergence phenomena in tempered glass

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.

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

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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