Mechanical oscillators with dampers defined by implicit constitutive relations Academic Article

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.

authors

• Rajagopal, Kumbakonam

published proceedings

• COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE

author list (cited authors)

• Prazak, D., & Rajagopal, K. R.

citation count

• 1

complete list of authors

• Prazak, Dalbor||Rajagopal, Kumbakonam R

publication date

• January 2016

publisher

• Charles University in Prague, Karolinum Press  Publisher

keywords

• Coulomb's Friction
• Differential-algebraic Equations
• Lumped Parameter Systems
• Uniqueness Of Solutions

Digital Object Identifier (DOI)

• 10.14712/1213-7243.2015.143

start page

• 51

end page

• 61

volume

• 57

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.14712%2F1213-7243.2015.143