NDLI: High-order accurate equations describing vibrations of thin bars

Content Provider	Springer Nature Link
Author	Bakhvalov, N. S. Eglit, M. E.
Copyright Year	2006
Abstract	A method for deriving one-dimensional wave propagation equations in thin inhomogeneous anisotropic bars based on the mathematical homogenization theory for periodic media is used to obtain equations governing the longitudinal and transverse vibrations of a homogeneous circular bar. The equations are derived up to O(ε$^{8}$) terms and take into account variable body forces and surface loads. Here, ε is the ratio of the bar’s typical thickness to the typical wavelength.
Starting Page	437
Ending Page	452
Page Count	16
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	46
Issue Number	3
e-ISSN	15556662
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2006-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	thin bars vibrations one-dimensional equations homogenization method Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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High-order accurate equations describing vibrations of thin bars