TY - GEN
T1 - Vibration localization in dual-span, axially moving beams
T2 - ASME 1993 Design Technical Conferences, DETC 1993
AU - Al-Jawi, A. A.N.
AU - Pierre, Christophe
AU - Ulsoy, A. G.
N1 - Publisher Copyright:
© 1993 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1993
Y1 - 1993
N2 - An investigation of the vibration localization phenomenon in dual-span, axially moving beams is presented. The effects of a tension difference among the spans, also referred to as disorder, on the natural modes of free vibration are studied in terms of interspan coupling and transport speed. The equations governing the transverse vibration of the two-span, axially moving beam are derived through Hamilton's principle and solution methods are developed. Results demonstrate that normal mode localization indeed occurs for both stationary and translating disordered two-span beams, especially for small interspan coupling. The occurrence of localization is characterized by a peak deflection much greater in one span than in the other. In the stationary disordered case, localization becomes more pronounced as interspan coupling decreases, i.e., as the span axial tension increases. In the axially moving disordered case, the transport speed has a significant influence on localization, and generally speaking localization becomes stronger with increasing speed. For a moving beam with identical spans, the two loci of each pair of natural frequencies may exhibit one or more crossing(s) (depending on the value of tension) when plotted against the axied transport speed. These crossings become veerings when the beam is disordered, and localization is strongest at those speeds where the eigenvalue veerings occur.
AB - An investigation of the vibration localization phenomenon in dual-span, axially moving beams is presented. The effects of a tension difference among the spans, also referred to as disorder, on the natural modes of free vibration are studied in terms of interspan coupling and transport speed. The equations governing the transverse vibration of the two-span, axially moving beam are derived through Hamilton's principle and solution methods are developed. Results demonstrate that normal mode localization indeed occurs for both stationary and translating disordered two-span beams, especially for small interspan coupling. The occurrence of localization is characterized by a peak deflection much greater in one span than in the other. In the stationary disordered case, localization becomes more pronounced as interspan coupling decreases, i.e., as the span axial tension increases. In the axially moving disordered case, the transport speed has a significant influence on localization, and generally speaking localization becomes stronger with increasing speed. For a moving beam with identical spans, the two loci of each pair of natural frequencies may exhibit one or more crossing(s) (depending on the value of tension) when plotted against the axied transport speed. These crossings become veerings when the beam is disordered, and localization is strongest at those speeds where the eigenvalue veerings occur.
UR - http://www.scopus.com/inward/record.url?scp=85104195858&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85104195858&partnerID=8YFLogxK
U2 - 10.1115/DETC1993-0171
DO - 10.1115/DETC1993-0171
M3 - Conference contribution
AN - SCOPUS:85104195858
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 105
EP - 117
BT - 14th Biennial Conference on Mechanical Vibration and Noise
Y2 - 19 September 1993 through 22 September 1993
ER -