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, a beam and plate metamaterial with interconnected local resonators is proposed to promote splitting and coupling between transverse and rotational vibration modes of the resonator chain.
119 citations
TL;DR: In this article, an accurate dynamic stiffness model for a three-layered sandwich beam of unequal thicknesses is developed and subsequently used to investigate its free vibration characteristics, where each layer of the beam is idealised by the Timoshenko beam theory and the combined system is reduced to a tenth-order system using symbolic computation.
119 citations
TL;DR: It is concluded that the Timoshenko theory is close to the two-dimensional theory for modes of practical importance, but that the applicability of the Euler-Bernoulli theory is limited.
119 citations
TL;DR: In this article, a finite-element model along with an adequate end milling cutting-force model was developed to analyze the surface dimensional errors in the peripheral milling of thin-walled workpieces.
118 citations
TL;DR: In this article, an analytical model and exact solution for beams with thickness-shear and extension piezoelectric actuators are formulated and developed based on the first-order beam theory (FOBT) and higher-orderbeam theory (HOBT).
Abstract: Analytical models and exact solutions for beams with thickness-shear and extension piezoelectric actuators are formulated and developed. The models are based on the first-order beam theory (FOBT) and higher-order beam theory (HOBT). The beam bending problem is solved by using the state-space approach along with the Jordan canonical form. Numerical examples of beams incorporating piezoelectric actuators with various boundary conditions are presented. In these examples, the validity of the proposed models and the feasibility of using shear-mode actuators in smart beams are investigated. For the extension-mode actuators there is slight difference between the deflections of the FOBT and that of the HOBT. For the shear-mode actuators there is pronounced difference between the deflections of the FOBT and that of the HOBT. The results of the FOBT are very sensitive to the value of the shear correction factor. The results of the present work are compared with the previously reported results in the literature, where available.
118 citations