Mechanical oscillators described by a system of differential-algebraic equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127325" target="_blank" >RIV/00216208:11320/12:10127325 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10492-012-0009-8" target="_blank" >http://dx.doi.org/10.1007/s10492-012-0009-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10492-012-0009-8" target="_blank" >10.1007/s10492-012-0009-8</a>

Result language

angličtina

Original language name

Mechanical oscillators described by a system of differential-algebraic equations

Original language description

The classical framework for studying the equations governing the motion of lumped parameter systems presumes one can provide expressions for the forces in terms of kinematical quantities for the individual constituents. This is not possible for a very large class of problems where one can only provide implicit relations between the forces and the kinematical quantities. In certain special cases, one can provide non-invertible expressions for a kinematical quantity in terms of the force, which then reduces the problem to a system of differential-algebraic equations. We study such a system of differential-algebraic equations, describing the motions of the mass-spring-dashpot oscillator. Assuming a monotone relationship between the displacement, velocityand the respective forces, we prove global existence and uniqueness of solutions. We also analyze the behavior of some simple particular models.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

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

Name of the periodical

Applications of Mathematics

ISSN

0862-7940

e-ISSN

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Volume of the periodical

57

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

14

Pages from-to

129-142

UT code for WoS article

000302093400004

EID of the result in the Scopus database

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