Transverse Vibrations of an Axially Travelling String

被引：0
|
作者：
Sahoo, Shashendra Kumar [1 ]
Das, H. C. [2 ]
Panda, L. N. [3 ]
机构：
[1] SIKSHA O ANUSANDHAN Deemed Univ, Dept Mech Engn, Inst Tech Educ & Res, Bhubaneswar 751030, India
[2] NIT, Dept Mech Engn, Shillong, Meghalaya, India
[3] BPUT, CET, Dept Mech Engn, Bhubaneswar, India
来源：
RECENT TRENDS IN WAVE MECHANICS AND VIBRATIONS, WMVC 2018 | 2020年
关键词：
Axially travelling string; Method of multiple scales (MMS); Parametric resonance; Stability; CONVEYING PULSATING FLUID; NONLINEAR VIBRATIONS; MOVING BEAM; STABILITY ANALYSIS; OSCILLATION; DYNAMICS;
D O I：
10.1007/978-981-15-0287-3_11
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the transverse vibration of axially travelling string is analysed. The axial velocity of the string is periodically varying about an average value. Applying direct perturbation method (MMS), an analytical solution is found. An analysis of principal parametric resonances is carried out when changing frequency of the axial velocity is zero, close to zero and twice the natural frequency. Mathematical analysis is carried out to determine the stability and instability zones. The results show that instability occurs when changing frequency of the axial velocity is close to two times the natural frequency, whereas no instability occurs when changing frequency is close to zero. A case study of bandsaw is discussed. The stability and instability zones are plotted for the first five natural frequencies.
引用
收藏
页码：127 / 137
页数：11
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