info:eu-repo/semantics/article
Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position
Fecha
2009-03Registro en:
Maiz, Santiago; Rossit, Carlos Adolfo; Bambill, Diana Virginia; Susca, Antonio; Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position; Academic Press Ltd - Elsevier Science Ltd; Journal of Sound and Vibration; 320; 4-5; 3-2009; 1146-1163
0022-460X
CONICET Digital
CONICET
Autor
Maiz, Santiago
Rossit, Carlos Adolfo
Bambill, Diana Virginia
Susca, Antonio
Resumen
Free vibrations of clamped, thin elliptical plates carrying a concentrated mass at an arbitrary position are studied in order to analyze the mass effect on the natural frequencies and mode shapes of the plate. A variational approach, the well-known Ritz method, is used, where the displacement amplitude is approximated by polynomial expressions in the Cartesian coordinates. The present proposal exhibits excellent agreement with particular cases of the problem available in the literature and also with an independent solution obtained by means of the finite element method. Some new results are presented for the natural frequencies and modes of clamped elliptical plates with a concentrated mass.