Mathematical Model of Non-linear Response

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F10%3A63509076" target="_blank" >RIV/70883521:28140/10:63509076 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

čeština

Original language name

Modelování nelineární odezvy prostředí: jednostranné pružné podpory a podloží na tuhém základu

Original language description

Mechanical and mathematical model of the nonlinear subsoil and support response representing unilateral continuous bearing stratum or elastic bucket spring imbedded on the prefect rigid foundation has been introduced. Contrary of the non-classical boundary conditions representing elastic response of Newton?s type implying linear variational equality, corresponding mathematical model of the problem can be characterized as a nonlinear boundary-value problem in the form of the semicoercive variational inequality with non-differential terms. Correctness and solvability of the presented model problem has been discussed, additional conditions guarantying existence and uniqueness of the solution in semicoercive cases are introduced. Natural and constructive generalization of the studied nonlinear response function having high potential of practical application has also been given.

Czech name

Modelování nelineární odezvy prostředí: jednostranné pružné podpory a podloží na tuhém základu

Czech description

Mechanical and mathematical model of the nonlinear subsoil and support response representing unilateral continuous bearing stratum or elastic bucket spring imbedded on the prefect rigid foundation has been introduced. Contrary of the non-classical boundary conditions representing elastic response of Newton?s type implying linear variational equality, corresponding mathematical model of the problem can be characterized as a nonlinear boundary-value problem in the form of the semicoercive variational inequality with non-differential terms. Correctness and solvability of the presented model problem has been discussed, additional conditions guarantying existence and uniqueness of the solution in semicoercive cases are introduced. Natural and constructive generalization of the studied nonlinear response function having high potential of practical application has also been given.

Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of 7th International Conference on New Trends in Statics and Dynamics of Buildings

ISBN

978-80-227-3373-1

ISSN

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e-ISSN

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Number of pages

7

Pages from-to

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Publisher name

Slovak University of Technology Press

Place of publication

Bratislava

Event location

Bratislava, SR

Event date

Jan 1, 2009

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

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