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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01 Dec 2016-Microsystem Technologies-micro-and Nanosystems-information Storage and Processing Systems
TL;DR: In this article, the effect of nonlinear small-scale, angular speed, hub radius and nonlinear amplitude of rotary nanobeam on the bending vibration of a rotating cantilever was investigated.
Abstract: This study investigates the small scale effect on the nonlinear bending vibration of a rotating cantilever and propped cantilever nanobeam. The nanobeam is modeled as an Euler---Bernoulli beam theory with von Karman geometric nonlinearity. The axial forces are also included in the model as the true spatial variation due to the rotation. Hamilton's principle is used to derive the governing equation and boundary conditions for the Euler---Bernoulli beam based on Eringen's nonlocal elasticity theory. The differential quadrature method as an efficient and accurate numerical tool in conjunction with a direct iterative method is adopted to obtain the nonlinear vibration frequencies of nanobeam. The effect of nonlocal small---scale, angular speed, hub radius and nonlinear amplitude of rotary nanobeam is discussed.
90 citations
TL;DR: In this article, the linear flexural stiffness, incremental stiffness, mass, and consistent force matrices for a simple two-node Timoshenko beam element are developed based upon Hamilton's principle, where interdependent cubic and quadratic polynomials are used for the transverse and rotational displacements, respectively.
89 citations
TL;DR: In this article, the flexural-free vibration of a cantilevered beam with multiple cross-section steps is investigated theoretically and experimentally, and the convergence of several theoretical approaches and their effectiveness as analysis and design methods for multiple-stepped beams are also discussed.
89 citations
TL;DR: In this article, the authors investigated the properties of free transverse vibration and buckling of a double-beam system under compressive axial loading and showed that the critical buckling load of the system is related to the axial compression ratio of the two beams and the Winkler elastic layer.
89 citations
TL;DR: In this paper, the thermal postbuckling behavior of a composite laminated beam where graphene is used as reinforcement of each lamina was investigated. And the authors derived the matrix representation of the governing equations with the aid of conventional Ritz method and simple polynomials as the basic functions.
89 citations