E. Esmailzadeh et Ar. Shahani, LONGITUDINAL AND ROTATIONAL COUPLED VIBRATION OF VISCOELASTIC BARS WITH TIP MASS, International journal of non-linear mechanics, 34(1), 1999, pp. 111-116
Longitudinal and rotational coupled vibration of viscoelastic bar with
a concentrated mass at its end is investigated. It is shown that in a
particular case when the bar is rigid, the system reduces to that of
a simple pendulum. Initially the differential equations governing the
behavior of the system are derived. Then, the existence of periodic so
lution for this system is investigated using the Schauder fixed-point
theorem. Finally, a few numerical examples are considered and using ph
ase plane trajectories their behaviors are presented. (C) 1998 Elsevie
r Science Ltd. All rights reserved.