Classical Jacobi polynomials, closed-form solutions for transverse vibrations
- Author
- CARUNTU, Dumitru I1
[1] Department of Mathematics, The University of Toledo, Toledo, OH 43606-3390, United States - Source
Journal of sound and vibration. 2007, Vol 306, Num 3-5, pp 467-494, 28 p ; ref : 86 ref
- CODEN
- JSVIAG
- ISSN
- 0022-460X
- Scientific domain
- Civil engineering; Mechanical engineering; Mechanics acoustics
- Publisher
- Elsevier, London
- Publication country
- United Kingdom
- Document type
- Article
- Language
- English
- Keyword (fr)
- Fonction propre Fréquence propre Limite libre Mode vibration Modélisation Plaque circulaire Polynôme Jacobi Polynôme orthogonal Poutre section variable Poutre tournante Problème frontière libre Problème valeur limite Problème valeur propre Section variable Singularité Solution exacte Symétrie axiale Système tournant Vibration flexion Vibration libre
- Keyword (en)
- Eigenfunction Natural frequency Free boundary Vibrational mode Modeling Circular plate Jacobi polynomial Orthogonal polynomial Variable section beam Rotating beam(mechanics) Free boundary problem Boundary value problem Eigenvalue problem Variable section Singularity Exact solution Axial symmetry Rotating system Bending vibration Free vibration
- Keyword (es)
- Función propia Frecuencia propia Límite libre Modo de vibración Modelización Placa circular Polinomio Jacobi Polinomio ortogonal Viga sección variable Viga giratoria Problema frontera libre Problema valor limite Problema valor propio Sección variable Singularidad Solución exacta Simetría axial Sistema giratorio Vibración flexión Vibración libre
- Classification
- Pascal
- 001 Exact sciences and technology / 001B Physics / 001B40 Fundamental areas of phenomenology (including applications) / 001B40F Solid mechanics / 001B40F30 Structural and continuum mechanics / 001B40F30M Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
- Discipline
- Physics : solid mechanics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 19031013
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.jsv.2007.05.046 
https://dx.doi.org/10.1016/j.jsv.2007.05.046
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