Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 40, Number 5, December10 2011 , pages 705-718 DOI: https://doi.org/10.12989/sem.2011.40.5.705 |
|
|
|
Parametrically excited viscoelastic beam-spring systems: nonlinear dynamics and stability |
||
Mergen H. Ghayesh
|
||
| Abstract | ||
| The aim of the investigation described in this paper is to study the nonlinear parametric vibrations and stability of a simply-supported viscoelastic beam with an intra-span spring. Taking into account a time-dependent tension inside the beam as the main source of parametric excitations, as well as employing a two-parameter rheological model, the equations of motion are derived using Newton\'s second law of motion. These equations are then solved via a perturbation technique which yields approximate analytical expressions for the frequency-response curves. Regarding the main parametric resonance case, the local stability of limit cycles is analyzed. Moreover, some numerical examples are provided in the last section. | ||
| Key Words | ||
| parametric vibrations; stability; viscoelastic materials; perturbation techniques | ||
| Address | ||
| Mergen H. Ghayesh: Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6 | ||