Results 31 to 40 of about 54,888 (237)
Materials Research Express, 2020 The present paper addresses developing the Dynamic Stiffness Method (DSM) for natural frequency analysis of functionally graded beam with piezoelectric patch based on the Timoshenko beam theory and power law of material grading.
Nguyen Tien Khiem +2 more
doaj +1 more source
Exact and Numerically Stable Expressions for Euler-Bernoulli and Timoshenko Beam Modes [PDF]
, 2018 In this work we present a general procedure for deriving exact, analytical, and numerically stable expressions for the characteristic equations and the eigenmodes of the Timoshenko and the Euler-Bernoulli beam models. This work generalizes the approach recently described in Goncalves et al. (P.J.P. Goncalves, A. Peplow, M.J.
arxiv +1 more source
Analytical solutions for the Timoshenko beam theory with Free-Free boundary conditions [PDF]
arXiv, 2021 Timoshenko's theory for bending vibrations of a beam has been extensively studied since its development nearly one hundred years ago. Unfortunately there are not many analytical results. The results above the critical frequency inclusive haeve been tested only recently. Here an analytical expression for the solutions of the Timoshenko equation for free-
arxiv
Modal analysis of functionally graded Timoshenko beam
Vietnam Journal of Mechanics, 2017 Dynamic analysis of FGM Timoshenko beam is formulated in the frequency domain taking into account the actual position of neutral plane. The problem formulation enables to obtain explicit expressions for frequency equation, natural modes and frequency ...
Nguyen Ngoc Huyen, Nguyen Tien Khiem
doaj +1 more source
Vibration characteristics of axially loaded tapered Timoshenko beams made of functionally graded materials by the power series method [PDF]
Numerical Methods in Civil Engineering, 2017 :In the present article, a semi-analytical technique to investigate free bending vibration behavior of axially functionally graded non-prismatic Timoshenko beam subjected to a point force at both ends is developed based on the power series expansions ...
M. Soltani
doaj +1 more source
Advanced Functional Materials, EarlyView.The seed pod valves of Australian Banksia attenuata plants are not simply bi‐layers which bend when dry. These experiments and models reveal complex mechanics, which allow seed release only after several steps of seed pod opening. Stiffness gradients prevent delamination of the valves during loading, and a shape‐memory function protects the seeds ...
Friedrich Reppe +7 more
wiley +1 more source
Block Backstepping for Isotachic Hyperbolic PDEs and Multilayer Timoshenko Beams [PDF]
arXiv, 2023 In this paper, we investigate the rapid stabilization of N-layer Timoshenko composite beams with anti-damping and anti-stiffness at the uncontrolled boundaries. The problem of stabilization for a two-layer composite beam has been previously studied by transforming the model into a 1-D hyperbolic PIDE-ODE form and then applying backstepping to this new ...
arxiv
Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms
International Journal of Differential Equations, 2013 Timoshenko beam equations with external damping and internal damping terms and forcing terms are investigated, and boundary conditions (end conditions) to be considered are hinged ends (pinned ends), hinged-sliding ends, and sliding ends.
Kusuo Kobayashi, Norio Yoshida
doaj +1 more source
Journal of Experimental Nanoscience, 2020 In this article, the dynamic behaviour of a rectangular atomic force microscope immersed in different liquids has been investigated. To account the rotatory inertia and shear deformation effects, Timoshenko beam theory has been applied.
Ali Hossein Gholizadeh Pasha +1 more
doaj +1 more source
Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam [PDF]
Journal of Structural and Construction Engineering, 2019 This paper quantifies the uncertainty emanated from modeling steel structures using a Timoshenko beam. Using continuous beams to model building structures is a conventional approach in structural dynamic analyses.
Mahdi Naderi, Mojtaba Mahsuli
doaj +1 more source