𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Interference between the transverse and longitudinal vibrations in musical strings

✍ Scribed by Yu.A. Dem'yanov; D.V. Kokareva; A.A. Malashin

Book ID
104142320
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
598 KB
Volume
67
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ Synopsis

Two problems of the vibrations of strings are considered using the approach described previously in [l]: the vibrations of the string of a plucked musical instrument, drawn out at one of the points and at rest at the initial instant of time (Problem l), and the vibrations of the string of a keyboard musical instrument, the points of which are given an initial velocity at the initial instant of time by a hammer of small width (Problem 2). It is established that forced longitudinal oscillations of the string occur at frequencies of the transverse vibrations, the condition for possible resonance of the longitudinal vibrations is derived, and the nature of the vibrations at the point where the string is fastened due to elasticity and the related shift in the frequency of transverse vibrations is established.

πŸ“œ SIMILAR VOLUMES

The effect of stiffness on the transvers
The effect of stiffness on the transverse and longitudinal motions of a musical string: Commemorating the 100th anniversary of the birth of Kh.A. Rakhmatulin
✍ Yu.A. Dem’yanov; A.A. Malashin πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 204 KB

The effect of stiffness on the propagation of longitudinal and transverse waves and vibrations in prestretched strings is considered. The contribution of the longitudinal and transverse components to the dynamic load is of the same order. The longitudinal vibrations occur both at natural frequencies