Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Smart Structures and Systems Volume 20, Number 3, September 2017 , pages 263-272 DOI: https://doi.org/10.12989/sss.2017.20.3.263 |
|
|
|
Transient response of vibration systems with viscous-hysteretic mixed damping using Hilbert transform and effective eigenvalues |
||
S.H. Bae, W.B. Jeong, J.R. Cho and S.H. Lee
|
||
| Abstract | ||
| This paper presents the time response of a mixed vibration system with the viscous damping and the hysteretic damping. There are two ways to derive the time response of such a vibration system. One is an analytical method, using the contour integral of complex functions to compute the inverse Fourier transforms. The other is an approximate method in which the analytic functions derived by Hilbert transform are expressed in the state space representation, and only the effective eigenvalues are used to efficiently compute the transient response. The unit impulse responses of the two methods are compared and the change in the damping properties which depend on the viscous and hysteretic damping values is investigated. The results showed that the damping properties of a mixed damping vibration system do not present themselves as a linear combination of damping properties. | ||
| Key Words | ||
| viscous-hysteretic mixed damping (VHMD); transient response; unit impulse response; effective eigenvalues; Hilbert transform; state space | ||
| Address | ||
| S.H. Bae and S.H. Lee: Nuclear EQ and Safety Center, Korea Institute of Machinery and Materials, Busan 467-44, Korea W.B. Jeong: School of Mechanical Engineering, Pusan National University, Busan 609-735, Korea J.R. Cho: Department of Naval Architecture and Ocean Engineering, Hongik University, Sejong 339-701, Korea | ||