Exact general solutions for the mode shapes of longitudinally vibrating non-uniform rods via Lie symmetries

Author:

Nunes Afonso W.ORCID,da Silva Samuel,Ruiz AdriánORCID

Funder

Agencia Estatal de Investigación

Ministerio de Ciencia, Innovación y Universidades

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

European Regional Development Fund

Junta de Andalucía

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference55 articles.

1. On the attenuation of vibration using a finite periodic array of rods comprised of either symmetric or asymmetric cells;Carneiro Jr.;J. Sound Vib.,2021

2. On the multi-mode behavior of vibrating rods attached to nonlinear springs;Santo;Nonlinear Dynam.,2020

3. On longitudinal dynamics of nanorods;Zhu;Internat. J. Engrg. Sci.,2017

4. Fundamentals of Acoustics;Kinsler,1999

5. A Treatise on the Mathematical Theory of Elasticity;Love,2013

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