Probabilistic approach for shape optimization problems in contact mechanics

Shape optimization problem for rigid stamp interacted with elastic medium is investigated. Additional forces applied to the elastic medium are supposed to be random in considered problem formulation. Probabilistic approach is applied as for formulation as for solution of the optimization problem. As...

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Published inStructural and multidisciplinary optimization Vol. 43; no. 1; pp. 99 - 106
Main Authors Banichuk, Nikolai V., Ragnedda, Francesco, Serra, Mauro
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 2011
Springer Nature B.V
Subjects
Computational Mathematics and Numerical Analysis
Elastic media
Engineering
Engineering Design
Research Paper
Shape optimization
Theoretical and Applied Mechanics
Probabilistic approach
Contact problems
Shape optimization
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Abstract Shape optimization problem for rigid stamp interacted with elastic medium is investigated. Additional forces applied to the elastic medium are supposed to be random in considered problem formulation. Probabilistic approach is applied as for formulation as for solution of the optimization problem. As a result the optimal designs of the stamps with circular base are obtained and presented in the paper.
AbstractList Shape optimization problem for rigid stamp interacted with elastic medium is investigated. Additional forces applied to the elastic medium are supposed to be random in considered problem formulation. Probabilistic approach is applied as for formulation as for solution of the optimization problem. As a result the optimal designs of the stamps with circular base are obtained and presented in the paper.
Author Ragnedda, Francesco
Serra, Mauro
Banichuk, Nikolai V.
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Cites_doi 10.1007/BF01742507
10.1007/978-90-481-2518-0
10.1007/s10704-008-9222-6
10.1080/15397730802275454
10.1081/SME-2000118709
10.1007/978-1-4020-9043-1
10.1080/15397730601184626
10.21136/AM.1986.104184
10.1007/978-94-009-8606-0_29
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Structural and Multidisciplinary Optimization is a copyright of Springer, (2010). All Rights Reserved.
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Issue 1
Keywords Probabilistic approach
Contact problems
Shape optimization
Language English
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Morse, Feshbach (CR11) 1953
Mossakovskii (CR12) 1953; XVII
Banichuk, Neittaanmaki (CR2) 2007; 35
Paczelt (CR13) 1980; 60
Banichuk (CR4) 2005; 33
Galin (CR7) 1953
Haslinger, Neittaanmaki, Tiihonen (CR9) 1986; 31
Banichuk, Ivanova (CR1) 2008; 36
Banichuk, Neittaanmaki (CR3) 2010
J Haslinger (542_CR9) 1986; 31
VG Rekach (542_CR15) 1979
542_CR6
I Paczelt (542_CR14) 1994; 7
PM Morse (542_CR11) 1953
AEH Love (542_CR10) 1944
542_CR8
LA Galin (542_CR7) 1953
NV Banichuk (542_CR5) 2008; 150
NV Banichuk (542_CR3) 2010
NV Banichuk (542_CR2) 2007; 35
NV Banichuk (542_CR1) 2008; 36
NV Banichuk (542_CR4) 2005; 33
VI Mossakovskii (542_CR12) 1953; XVII
I Paczelt (542_CR13) 1980; 60
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Snippet Shape optimization problem for rigid stamp interacted with elastic medium is investigated. Additional forces applied to the elastic medium are supposed to be...
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SubjectTerms Computational Mathematics and Numerical Analysis
Elastic media
Engineering
Engineering Design
Research Paper
Shape optimization
Theoretical and Applied Mechanics
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Title Probabilistic approach for shape optimization problems in contact mechanics
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