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 paper, an analytical method is developed to present the dynamic response of a cracked cantilever beam subject to a concentrated moving load, where the cracked beam system is modeled as a two-span beam and each span of the continuous beam is assumed to obey Euler-Bernoulli beam theory.
79 citations
TL;DR: In this article, a modified transfer matrix method for analyzing the coupling lateral and torsional vibrations of the symmetric rotor bearing system with an external torque was developed, where Euler's angles were used to describe the orientations of the shaft element and disk.
79 citations
TL;DR: In this paper, the authors proposed a model for the analysis of reinforced and prestressed concrete frame elements under combined loading conditions, including axial force, biaxial bending, torsion and biaaxial shear force.
78 citations
TL;DR: In this article, the Timoshenko beam model is modified to include the surface effects and used to analyze the vibration of nanotubes as well as calculate their natural frequencies, and it is shown that dynamic behavior of nanoscaled tubes with consideration of surface effects considerably deviates from the results obtained by classical theories.
Abstract: Consideration of surface effects in microscaled and nanoscaled materials is important for accurate prediction of their dynamic behavior. In this study, the Timoshenko beam model is modified to include the surface effects and used to analyze the vibration of nanotubes as well as calculate their natural frequencies. The thin surface layers have been taken into account for rotary inertia computation. Through an example it is shown that dynamic behavior of nanoscaled tubes with consideration of surface effects considerably deviates from the results obtained by classical theories. Plots illustrating such deviations are given to support the conclusions.
78 citations
TL;DR: In this paper, the rotordynamic analysis of a composite rotor supported on general, eight coefficient bearings, obtained by using conventional equivalent modulus beam theory (EMBT), and a layerwise beam theory derived from an existing layerwise shell theory, respectively, is presented.
78 citations