✦ LIBER ✦

NON-LINEAR VIBRATIONS OF VISCOELASTIC MOVING BELTS, PART II: FORCED VIBRATION ANALYSIS

✍ Scribed by L. Zhang; J.W. Zu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 232 KB
Volume: 216
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.1689

No coin nor oath required. For personal study only.

✦ Synopsis

The non-linear forced fibration of viscoelastic moving belts excited by the eccentricity of pulleys is investigated. The generalized equations of motion are derived for a viscoelastic moving belt with geometric non-linearities by adopting the linear viscoelastic differential constitutive law. The method of multiple scales is applied directly to the governing equations which are in the form of continuous non-autonomous gyroscopic systems. The amplitude of near-and exact-resonant steady state response for non-autonomous systems is predicted. The results obtained with quasi-static assumption and those without this assumption are compared. Effects of elastic and viscoelastic parameters, axial moving speed, and the geometric non-linearity on the system response are also studied.

📜 SIMILAR VOLUMES

NON-LINEAR VIBRATIONS OF VISCOELASTIC MO

NON-LINEAR VIBRATIONS OF VISCOELASTIC MOVING BELTS, PART I: FREE VIBRATION ANALYSIS

✍ L. Zhang; J.W. Zu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 270 KB

The non-linear free vibration of viscoelastic moving belts is studied. Based on the linear viscoelastic differential constitutive law, the generalized equation of motion is derived for a moving belt with geometric non-linearities. The method of multiple scales is applied directly to the governing eq

Non-linear system vibration analysis usi

Non-linear system vibration analysis using Hilbert transform--II. Forced vibration analysis method 'Forcevib'

✍ Michael Feldman 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 310 KB

A technique for non-linear system investigation based on the Hilbert transform enables us to identify system instantaneous modal parameters during free vibration analysis and various kinds of excitation of the dynamic system. The direct time domain approach allows the direct extraction of linear and

Analysis of the Non-Linear Vibration Cha

Analysis of the Non-Linear Vibration Characteristics of a Belt-Driven System

✍ K.S. Kim; M.J. Lee 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 228 KB

In this paper, a mathematical model for a belt-driven system is proposed to analyze vibration characteristics of driving units having belts, and free and forced vibration analyses are carried out. The mathematical model for a beltdriven system includes belts, pulleys, spindle and bearings. The mater

NON-LINEAR COUPLED TRANSVERSE AND AXIAL

NON-LINEAR COUPLED TRANSVERSE AND AXIAL VIBRATION OF A COMPLIANT STRUCTURE, PART 2: FORCED VIBRATION

✍ S.M. HAN; H. BENAROYA 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 417 KB

Responses of a beam undergoing both axial and transverse vibration are studied when the beam is subjected to transverse forces. The beam is supported by a torsional spring at the base and has a point mass at the free end. This is a simpli"ed model of a complaint o!shore structure. It is assumed that

WAVE PROPAGATION IN AND VIBRATION OF A T

WAVE PROPAGATION IN AND VIBRATION OF A TRAVELLING BEAM WITH AND WITHOUT NON-LINEAR EFFECTS, PART II: FORCED VIBRATION

✍ G. CHAKRABORTY; A.K. MALLIK 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 176 KB

The wave propagation in a simply supported travelling beam, studied in Part I of this paper, has been used to derive the forced responses. Based upon the wave-propagation principles, a simple method for constructing the closed-form transfer function of such a beam has been presented. The use of this

NON-LINEAR VIBRATION OF CABLE–DAMPER SYS

NON-LINEAR VIBRATION OF CABLE–DAMPER SYSTEMS PART II: APPLICATION AND VERIFICATION

✍ Y.L. XU; Z. YU 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 236 KB

The formulation derived in Part I of this paper is applied to investigate nonlinear vibration behavior of inclined sag cables with and without oil dampers in long-span cable-stayed bridges. The inclined sag cables used in computation are also tested in the laboratory with scaled cables and oil dampe