On the transverse vibration of a rubber string

by: Millard F Beatty, Alan C Chow

Journal of Elasticity, Vol. 13, No. 3. (1983), pp. 317-344.

View FullText article

Reviews [Write a review of this article]

There are no reviews of this article

Find related articles from these CiteULike users

norris

Find related articles with these CiteULike tags

elasticity, nonlinear, polymers

Abstract

The nearly constant pitch of the sound radiated by a sufficiently stretched rubber cord, a phenomenon observed independently by two experimenters at the turn of the century, is explained analytically for three ideal rubberlike material models. Transverse vibrational frequency data for three kinds of rubber strings, obtained with the aid of a novel laser apparatus, are compared with the analytical results. A numerical scheme is introduced to compute from the experimental data the apparent average number of links in a molecular chain of a rubberlike material from both simple tension and transverse frequency measurements. It is shown that the nearly flat frequency response is a molecular network finite extensibility effect that is controlled by the apparent number of links in a chain of the molecular network structure.

@article{citeulike:1597318, abstract = {The nearly constant pitch of the sound radiated by a sufficiently stretched rubber cord, a phenomenon observed independently by two experimenters at the turn of the century, is explained analytically for three ideal rubberlike material models. Transverse vibrational frequency data for three kinds of rubber strings, obtained with the aid of a novel laser apparatus, are compared with the analytical results. A numerical scheme is introduced to compute from the experimental data the apparent average number of links in a molecular chain of a rubberlike material from both simple tension and transverse frequency measurements. It is shown that the nearly flat frequency response is a molecular network finite extensibility effect that is controlled by the apparent number of links in a chain of the molecular network structure.}, author = {Beatty, Millard F. and Chow, Alan C. }, citeulike-article-id = {1597318}, doi = {10.1007/BF00043000}, journal = {Journal of Elasticity}, keywords = {elasticity, nonlinear, polymers}, number = {3}, pages = {317--344}, posted-at = {2007-08-27 22:13:52}, priority = {2}, title = {On the transverse vibration of a rubber string}, url = {http://dx.doi.org/10.1007/BF00043000}, volume = {13}, year = {1983} }

RIS record

TY - JOUR ID - citeulike:1597318 L3 - citeulike-article-id:1597318 TI - On the transverse vibration of a rubber string JF - Journal of Elasticity VL - 13 IS - 3 SP - 317 EP - 344 N2 - The nearly constant pitch of the sound radiated by a sufficiently stretched rubber cord, a phenomenon observed independently by two experimenters at the turn of the century, is explained analytically for three ideal rubberlike material models. Transverse vibrational frequency data for three kinds of rubber strings, obtained with the aid of a novel laser apparatus, are compared with the analytical results. A numerical scheme is introduced to compute from the experimental data the apparent average number of links in a molecular chain of a rubberlike material from both simple tension and transverse frequency measurements. It is shown that the nearly flat frequency response is a molecular network finite extensibility effect that is controlled by the apparent number of links in a chain of the molecular network structure. KW - elasticity KW - nonlinear KW - polymers AU - Beatty, Millard AU - Chow, Alan PY - 1983//01/ UR - http://dx.doi.org/10.1007/BF00043000 ER -

RIS BibTeX