Mechanical oscillators described by a system of differential-algebraic equations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Mechanical oscillators described by a system of differential-algebraic equations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Mechanical oscillators described by a system of differential-algebraic equations

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Matematická a počítačová analýza evolučních procesů v nelineárních viskoelastických tekutinách</a><br>

Návaznosti

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

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Svazek periodika

57

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

14

Strana od-do

129-142

Kód UT WoS článku

000302093400004

EID výsledku v databázi Scopus

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