Mechanical oscillators with dampers defined by implicit constitutive relations
Dalibor Pražák; Kumbakonam R. Rajagopal
Commentationes Mathematicae Universitatis Carolinae (2016)
- Volume: 57, Issue: 1, page 51-61
- ISSN: 0010-2628
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topPražák, Dalibor, and Rajagopal, Kumbakonam R.. "Mechanical oscillators with dampers defined by implicit constitutive relations." Commentationes Mathematicae Universitatis Carolinae 57.1 (2016): 51-61. <http://eudml.org/doc/276769>.
@article{Pražák2016,
abstract = {We study the vibrations of lumped parameter systems, the spring being defined by the classical linear constitutive relationship between the spring force and the elongation while the dashpot is described by a general implicit relationship between the damping force and the velocity. We prove global existence of solutions for the governing equations, and discuss conditions that the implicit relation satisfies that are sufficient for the uniqueness of solutions. We also present some counterexamples to the uniqueness when these conditions are not met.},
author = {Pražák, Dalibor, Rajagopal, Kumbakonam R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {lumped parameter systems; differential-algebraic equations; Coulomb's friction; uniqueness of solutions},
language = {eng},
number = {1},
pages = {51-61},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Mechanical oscillators with dampers defined by implicit constitutive relations},
url = {http://eudml.org/doc/276769},
volume = {57},
year = {2016},
}
TY - JOUR
AU - Pražák, Dalibor
AU - Rajagopal, Kumbakonam R.
TI - Mechanical oscillators with dampers defined by implicit constitutive relations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 1
SP - 51
EP - 61
AB - We study the vibrations of lumped parameter systems, the spring being defined by the classical linear constitutive relationship between the spring force and the elongation while the dashpot is described by a general implicit relationship between the damping force and the velocity. We prove global existence of solutions for the governing equations, and discuss conditions that the implicit relation satisfies that are sufficient for the uniqueness of solutions. We also present some counterexamples to the uniqueness when these conditions are not met.
LA - eng
KW - lumped parameter systems; differential-algebraic equations; Coulomb's friction; uniqueness of solutions
UR - http://eudml.org/doc/276769
ER -
References
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