๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

FUNDAMENTAL FREQUENCY OF A VIBRATING PRETENSIONLESS STRING

โœ Scribed by H.P.W. Gottlieb

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
82 KB
Volume
221
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

1. ๏ฉ๏ฎ๏ด๏ฒ๏ฏ๏ค๏ต๏ฃ๏ด๏ฉ๏ฏ๏ฎ

Recently, Bolwell [1] introduced a variant of the partial differential equation for a flexible string in which non-linearity is included by simply replacing the constant tension in the linear equation by its Hooke's law expression to take account of finite stretching. When fourth and higher powers were neglected, this gave a non-linear equation for y(x, t), the transverse deflection in a plane:

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