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Dynamic behavior of a rotating delaminated composite beam including rotary inertia and shear deformation effects [PDF]
Ain Shams Engineering Journal, 2015 A finite element (FE) model is developed to study the free vibration of a rotating laminated composite beam with a single delamination. The rotary inertia and shear deformation effects, as well as the bending–extension, bending–twist and extension–twist ...
Ramazan-Ali Jafari-Talookolaei +1 more
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Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia
Applied Mechanics Reviews, 2015 This study revisits Timoshenko beam theory (TBT). It discusses at depth a more consistent and simpler governing differential equation. The so-called second spectrum is also addressed. Then, we provide the asymptotic justification of the aforementioned differential equation along with detailed discussion of the boundary and initial conditions. The paper
Julius Kaplunov +2 more
exaly +3 more sources
Engineering Structures, 2017 Abstract Estimation of vibration characteristics and thus the seismic loads acted on steel framed structures are influenced by the presence of semi-rigid connections and accurate modeling of shear deformations and rotary inertia effects. This paper presents a finite element model that takes into account all these effects in order to calculate ...
Afsin Saritas
exaly +4 more sources
International Journal of Circuit Theory and Applications, 2023 AbstractAnalogous electrical networks were previously derived from the Euler–Bernoulli and Kirchhoff–Love theories to represent beams and plates, respectively, for use in multimodal structural vibration damping. However, these networks do not account for shear deformations or rotary inertia, which can result in suboptimal vibration damping performance ...
Luo, Alan +2 more
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Physica Scripta, 2023 Abstract This study investigates the free vibrations of elastically constrained shear and Rayleigh beams placed on the Pasternak foundation. Of particular interest, it is aimed to analyze the influence of shear strain, rotational inertia, elastic stiffness, and shear layer on the natural frequencies and eigenmodes of beam vibrations. For
Gulnaz Kanwal +3 more
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Applied Sciences, 2020 Based on the classical Timoshenko beam theory, the rotary inertia caused by shear deformation is further considered and then the equation of motion of the Timoshenko beam theory is modified.
Chunfeng Wan +6 more
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JSME International Journal Series C-Mechanical Systems Machine Elements and Manufacturing, 2001 The effects of thickness variation, shear deformation and rotary inertia of annular plates are studied by deriving the equations of motion. To solve the differential equation governing the motion of annular plates the Chebyshev collocation method is employed.
exaly +3 more sources
Variational Derivation of Truncated Timoshenko-Ehrenfest Beam Theory [PDF]
Journal of Applied and Computational Mechanics, 2022 The beam theory allowing for rotary inertia and shear deformation and without the fourth order derivative with respect to time as well as without the slope inertia, as was developed by Elishakoff through the dynamic equilibrium consideration, is derived ...
Maria De Rosa +2 more
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AIP Advances, 2022 In this study, whirl characteristics and stability of an axially functionally graded (AFG) liquid-filled rotor are investigated. The rotor is modeled based on the spinning Timoshenko beam theory. The governing equations for flexural vibration are derived
Guangding Wang +3 more
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Effect of Exponential Stress Resultant on Buckling Response of Functionally Graded Rectangular Plates [PDF]
Journal of Stress Analysis, 2017 The effect of exponential stress resultant on buckling response of functionally graded rectangular plates based on exponential shear deformation theory is investigated in this paper. In exponential shear deformation theory, exponential functions are used
K. Khorshidi, A. Fallah
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