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Titolo: Apparently first closedform solutions for inhomogeneous vibrating beams under axial loading
Autore: Guede, Z; Elishakoff, I;
 Indirizzi:
 Inst Francais Mecan Avancee, Lab Rech & Applicat Mecan Avancee, F63175 Aubiere, France Inst Francais Mecan Avancee Aubiere France F63175 63175 Aubiere, France Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA Florida Atlantic Univ Boca Raton FL USA 33431 n, Boca Raton, FL 33431 USA
 Titolo Testata:
 PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
fascicolo: 2007,
volume: 457,
anno: 2001,
pagine: 623  649
 SICI:
 13645021(20010308)457:2007<623:AFCSFI>2.0.ZU;2M
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 NATURAL FREQUENCIES;
 Keywords:
 closedform solutions; buckling; inhomogeneity; vibration;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 26
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Guede, Z Inst Francais Mecan Avancee, Lab Rech & Applicat Mecan Avancee, F63175 Aubiere, France Inst Francais Mecan Avancee Aubiere France F63175iere, France



 Citazione:
 Z. Guede e I. Elishakoff, "Apparently first closedform solutions for inhomogeneous vibrating beams under axial loading", P ROY SOC A, 457(2007), 2001, pp. 623649
Abstract
Closedform solutions are presented for fundamental natural frequencies ofinhomogeneous vibrating beams under axially distributed loading. The mode shape is postulated as coinciding with the static deflection of the associated homogeneous beam without distributed axial loading. Then the inverse problem of determining the stiffness and mass density distributions, producing the above mode shape, is solved. To describe these variations, the familyof polynomial functions is used. Several sets of boundary conditions are considered. It is shown that the natural frequency vanishes when the intensity of the axially distributed loading equals the critical buckling value. Alinear relationship is established between the square of the natural frequency and the load ratio for all reported sets of boundary conditions, in contrast to uniform beams where the exact linear relationship holds for columns with simply supported and/or sliding ends.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 14/07/20 alle ore 13:15:49