On the vibrations of lumped parameter systems governed by differential-algebraic equations

@article{Darbha2010OnTV,
title={On the vibrations of lumped parameter systems governed by differential-algebraic equations},
author={Swaroop Darbha and K. B. Nakshatrala and K. R. Rajagopal},
journal={J. Franklin Institute},
year={2010},
volume={347},
pages={87-101}
}

In this paper, we consider the vibratory motions of lumped parameter systems wherein the components of the system cannot be described by constitutive expressions for the force in terms of appropriate kinematical quantities. Such physical systems reduce to a system of differential-algebraic equations, which invariably need to be solved numerically. To illustrate the issues with clarity, we consider a simple system in which the dashpot is assumed to contain a " Bingham " fluid for which one… CONTINUE READING