Topic
Timoshenko beam theory
About: Timoshenko beam theory is a research topic. Over the lifetime, 9426 publications have been published within this topic receiving 200570 citations.
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TL;DR: In this article, the authors investigated the nonlinear forced dynamics of an axially moving Timoshenko beam, taking into account rotary inertia and shear deformation, the equations of motion are obtained through use of constitutive relations and Hamilton's principle.
Abstract: This paper investigates the nonlinear forced dynamics of an axially moving Timoshenko beam. Taking into account rotary inertia and shear deformation, the equations of motion are obtained through use of constitutive relations and Hamilton’s principle. The two coupled nonlinear partial differential equations are discretized into a set of nonlinear ordinary differential equations via Galerkin’s scheme. The set is solved by means of the pseudo-arclength continuation technique and direct time integration. Specifically, the frequency-response curves of the system in the subcritical regime are obtained via the pseudo-arclength continuation technique; the bifurcation diagrams of Poincare maps are obtained by means of direct time integration of the discretized equations. The resonant response is examined, for the cases when the system possesses a three-to-one internal resonance and when not. Results are shown through time traces, phase-plane portraits, and fast Fourier transforms (FFTs). The results indicate that the system displays a wide variety of rich dynamics.
67 citations
TL;DR: In this paper, the dynamic response of a Timoshenko beam resting on a Winkler-type elastic foundation acted upon by a moving concentrated mass is analyzed and compared with the corresponding behavior of an equivalent moving force neglecting the inertial effects of the mass.
67 citations
TL;DR: In this paper, the free vibration of a cantilever Timoshenko beam with a rigid tip mass is analyzed, where the mass center of the attached mass need not be coincident with its attachment point to the beam.
67 citations
TL;DR: In this paper, the flexure performances of pultruded glass FRP (P-GFRP) composite beams were investigated experimentally and theoretically with the help of variational methods.
67 citations
TL;DR: In this paper, two-dimensional and three-dimensional fluid-flexible structure interaction models are used to predict wave-induced loads and responses of a bulk carrier hull in waves, with particular emphasis on the influence of hatch openings, shear center and warping on the antisymmetric dynamics of the structure.
67 citations