Twist-bending vibrations of horizontally circular curved beams considering effects of transverse shear, rotatory inertia and warping
Date of Award
Program or Major
Doctor of Philosophy
This thesis is devoted to the dynamic analysis of horizontally circular curved beams. The direct stiffness method is used to derive the dynamic stiffness matrix for finding the natural frequencies and joint moments of curved beams having different rectangular cross-sections. Four examples are presented to illustrate the application of the proposed method and to show the effects of rotatory inertias, shear deformation, warping and opening angle of the arc on the beam. First three examples are for the free vibration of the beam. In these examples, beams with different thickness are used for finding effects of warping. In each example, there are three cases; case (a) consider rotatory inertias, shear deformation and warping effects; case (b) consider flexural rotatory inertia, shear deformation and warping effects; and case (c) consider rotatory inertias and shear deformation effects. Example four is for the forced vibration of the beam subjected to a uniformly distributed harmonic load. The results of the last example show the effects of cases (a), (b) and (c) on the joint moment of the beam.
Hsiao, Bor-Tsung, "Twist-bending vibrations of horizontally circular curved beams considering effects of transverse shear, rotatory inertia and warping" (1988). Doctoral Dissertations. 1534.