Results 21 to 30 of about 54,888 (237)
Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams
Shock and Vibration, 2005 Timoshenko beams have been widely used in structural and mechanical systems. Under dynamic loading, the analytical solution of a Timoshenko beam is often difficult to obtain due to the complexity involved in the equation of motion. In this paper, a modal
Menglin Lou, Qiuhua Duan, Genda Chen
doaj +1 more source
Shock and Vibration, 2007 This paper presents finite element formulations for an elastic Timoshenko beam subjected to moving concentrated forces. The results obtained by the present method are compared with those obtained by the assumed mode method published in the existing ...
Ping Lou, Gong-lian Dai, Qing-yuan Zeng
doaj +1 more source
Rapid Stabilization of Timoshenko Beam by PDE Backstepping [PDF]
arXiv, 2022 In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce a transformation to map the Timoshenko beam states into a (2+2) x (2+2) hyperbolic PIDE-ODE system.
arxiv
Shock and Vibration, 2014 This paper presents formulations for a Timoshenko beam subjected to an accelerating mass using spectral element method in time domain (TSEM). Vertical displacement and bending rotation of the beam were interpolated by Lagrange polynomials supported on ...
Guangsong Chen, Linfang Qian, Qiang Yin
doaj +1 more source
Elastic instability and free vibration analyses of axially functionally graded Timoshenko beams with variable cross-section [PDF]
Journal of Structural and Construction Engineering, 2020 In this paper, the critical buckling loads and natural frequencies of axially functionally graded non-prismatic Timoshenko beam with different boundary conditions are acquired using the Finite Difference Method (FDM).
Masoumeh Soltani +2 more
doaj +1 more source
Wave propagators for the Timoshenko beam [PDF]
Wave Motion, 2003 The propagation and scattering of waves on the Timoshenko beam are investigated by using the method of wave propagators. This method is more general than the scattering operators connected to the imbedding and Green function approaches; the wave propagators map the incoming field at an internal position onto the scattering fields at any other internal ...
Peter D. Folkow, Dag V. J. Billger
openaire +2 more sources
Finite Element Modeling for Buckling Analysis of Tapered Axially Functionally Graded Timoshenko Beam on Elastic Foundation [PDF]
Mechanics of Advanced Composite Structures, 2020 In this study, an efficient finite element model with two degrees of freedom per node is developed for buckling analysis of axially functionally graded (AFG) tapered Timoshenko beams resting on Winkler elastic foundation.
Masoumeh Soltani
doaj +1 more source
Timoshenko Beams and the Hamiltonian System
IOP Conference Series: Earth and Environmental Science, 2020 Abstract The significance of the transition from Lagrangian system to Hamiltonian system lies in that it has entered the form of symplectic geometry from the traditional Euclidean geometry and broken through the traditional concept, so that the dual mixed variable method has entered into the vast field of applied mechanics.
WX Zhang, LM Yang
openaire +2 more sources
Optimal Profile Design for Acoustic Black Holes using Timoshenko beam Theory [PDF]
, 2022 We revisit the problem of constructing one-dimensional acoustic black holes. Instead of considering the Euler-Bernoulli beam theory, we use Timoshenko's approach instead, which is known to be more realistic at higher frequencies. Our goal is to minimize the reflection coefficient under a constraint imposed on the normalized wave number variation.
arxiv +1 more source
On the Derivation of Exact Solutions of a Tapered Cantilever Timoshenko Beam
Civil Engineering Dimension, 2019 A tapered beam is a beam that has a linearly varying cross section. This paper presents an analytical derivation of the solutions to bending of a symmetric tapered cantilever Timoshenko beam subjected to a bending moment and a concentrated force at the ...
Foek Tjong Wong +4 more
doaj +1 more source