TY - JOUR
T1 - Vibration of Stress-Free Hollow Cylinders of Arbitrary Cross Section
AU - Liew, K. M.
AU - Hung, K. C.
AU - Lim, M. K.
PY - 1995/9
Y1 - 1995/9
N2 - A three-dimensional elasticity solution to the vibrations of stress-free hollow cylinders of arbitrary cross section is presented. The natural frequencies and deformed mode shapes of these cylinders are obtained via a three-dimensional displacement-based energy formulation. The technique is applied specifically to the parametric investigation of hollow cylinders of different cross sections and sizes. It is found that the cross-sectional property of the cylinder has significant effects on the normal mode responses, particularly, on the transverse bending modes. By varying the length-to-width ratio of these elastic cylinders, interesting results demonstrating the dependence of frequencies on the length of the cylinder have been concluded.
AB - A three-dimensional elasticity solution to the vibrations of stress-free hollow cylinders of arbitrary cross section is presented. The natural frequencies and deformed mode shapes of these cylinders are obtained via a three-dimensional displacement-based energy formulation. The technique is applied specifically to the parametric investigation of hollow cylinders of different cross sections and sizes. It is found that the cross-sectional property of the cylinder has significant effects on the normal mode responses, particularly, on the transverse bending modes. By varying the length-to-width ratio of these elastic cylinders, interesting results demonstrating the dependence of frequencies on the length of the cylinder have been concluded.
KW - Vibration
KW - Cylinders
KW - Cross section (Physics)
KW - Elasticity
KW - Displacement
KW - Shapes
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U2 - 10.1115/1.2897005
DO - 10.1115/1.2897005
M3 - 21_Publication in refereed journal
VL - 62
SP - 718
EP - 724
JO - Journal of Applied Mechanics, Transactions ASME
JF - Journal of Applied Mechanics, Transactions ASME
SN - 0021-8936
IS - 3
ER -