2 edition of On the nonlinear vibration of travelling strings found in the catalog.
On the nonlinear vibration of travelling strings
Young Il Kim
by University of Toronto, Dept. of Mechanical Engineering in Toronto, Ont
Written in English
|Statement||by Young Il Kim and Behrouz Tabarrok.|
|Series||University of Toronto. Dept. of Mechanical Engineering. Technical publication series -- TP7102|
|The Physical Object|
|Pagination||27, 16 p.|
|Number of Pages||27|
ON THE NON-LINEAR VIBRATION PROBLEM OF THE ELASTIC STRING* BY G. F. CARRIER Harvard University 1. Introduction. It is well known that the classical linearized analysis of the vi-brating string can lead to results which are reasonably accurate only when the . earliest studies on nonlinear vibration absorbers was the work by Roberson . He investigated the performance of an undamped nonlinear vibration absorber and concluded that the absorbers' effective band width improves significantly when a nonlinear absorber is used instead of a linear one. Many other researchers then becameFile Size: KB.
However, we need to remember that non-linear reading is, in fact, a very useful skill. Non-linear reading is what we use to skim and find information quickly. If you were looking for a number in a phone book (I know, I know, what an antiquated example:)) you could certainly use linear reading to find that number. equal to The number of strings is much larger, because the number of strings per note changes from one and two strings for the bass notes to three strings for the treble notes. The relationships connecting the velocity c of a trans-verse nondispersive wave travelling along the string, the string vibration frequency f, the string length L. Nonlinear effects were observed in a forced vibrating string. The motion of the string becomes elliptic as the amplitude of the vibration increases. The fundamental resonance frequency depends on the amplitude of the vibration. At sufficient high amplitudes the system exhibits hysterisis: the resonance frequency is different when measured Cited by: 1.
For the third edition of this successful undergraduate text, the author has made a number of changes to improve the presentation and clarify some of the arguments, and has also brought several of the applications up to date. The new material includes an elementary, descriptive introduction to the ideas behind the new science of chaos. The overall objectives of the book are unchanged: to lead Reviews: 1. very large vibration amplitude of 1 cm at the centre of the string. The fractional increase in the fundamental frequency expected from equation (3) is ˘aLL/ D1=, which would represent an imperceptible increase in pitch. To investigate the very interesting nonlinear physics of vibrating strings , it is advantageous to use a very. scientiﬁc questions. This paper presents a review: the relevant physics covers the nonlinear vibration of a bowed string, the vibration of the instrument body, and the consequent sound radiation. Questions of discrimination and preference by listeners and players requireCited by:
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SyntaxTextGen not activatedA vibration in a string is a wave. Resonance causes a pdf string to produce a sound with constant frequency, i.e. constant the length or tension of the string is correctly adjusted, the sound produced is a musical ing strings are the basis of .4.
The period of free vibration of a nonlinear system is dependent upon initial conditions. This implies that the frequency of free vibration is dependent upon the free vibration amplitude.
5. A nonlinear system exhibits resonance at excitation frequencies different from the system's linear natural frequency.Based on the theory ebook nonequilibrium thermodynamics  ebook the nonlinear vibration modeling , we aim to characterize the electromechanical and dynamic response of viscoelastic dielectric elastomer, to predict how viscoelasticity affect its dynamic performance and hysteresis process by comparing with the quasistatic response, and to present a physical interpretation on the.