... and applicability of the theory. It has been shown that the two parameters that characterize the Timoshenko–Ehrenfest beam theory, namely the rotary inertia and the shear deformation, can be related, and hence, they can be combined into one parameter when predicting the beam’s free vibration behavior...

...-McTavish (GHM) method. Based on the first order shear deformation theory, the finite element (FE) model is developed to model the open-loop and closed-loop nonlinear dynamics of the overall FG laminated composite plates integrated with a patch of such ACLD treatment. The analysis suggests the potential use...

... extensibility, rotary inertia, and shear deformation. The assessment is carried out by comparing the dynamic behavior predicted by each curved beam model in terms of the dispersion relations, frequency spectra, cutoff frequencies, natural frequencies and mode shapes, and frequency responses. In order to ensure...

... frequency range. The effects of the rotary inertia and shear deformation on the gap frequency range are considered. The frequency response of finite periodic pipe is calculated with a finite element method to validate the gap frequency ranges. 02 10 2008 28 09 2009 05 01 2011 05 01 2011...

...Keivan Kiani; Ali Nikkhoo; Bahman Mehri This paper presents a numerical parametric study on design parameters of multispan viscoelastic shear deformable beams subjected to a moving mass via generalized moving least squares method (GMLSM). For utilizing Lagrange’s equations, the unknown parameters...

...Jun Li; Hongxing Hua; Rongying Shen The dynamic stiffness matrix of a uniform isotropic beam element based on trigonometric shear deformation theory is developed in this paper. The theoretical expressions for the dynamic stiffness matrix elements are found directly, in an exact sense, by solving...

...Bakhtiyor Eshmatov; Subrata Mukherjee This paper is devoted to mathematical models of problems of nonlinear vibrations of viscoelastic, orthotropic, and isotropic cylindrical panels. The models are based on Kirchhoff-Love hypothesis and Timoshenko generalized theory (including shear deformation...

...A. Chakraborty; S. Gopalakrishnan A new spectral plate element (SPE) is developed to analyze wave propagation in anisotropic laminated composite media. The element is based on the first-order laminated plate theory, which takes shear deformation into consideration. The element is formulated using...

... of Rubin ( 3 ) in which the theory of multi-pulley belt drives was reexamined. The assumption that the shear deformation is constant through the belt thickness and the belt material is elastic (Sec. 3 ) allows to compute the torque M ( t ) about the axis of the pulley. This torque...

... technique, but regularization technique must be used. beams (structures) vibrations structural acoustics bending shear deformation For low NWID, the trapezoid method presents large error, which comes from the very large value of ( ∂ 4 η ∕ ∂ x 4 ) ( x...

...Asghar Ramezani; Aria Alasty; Javad Akbari In this paper, the large amplitude free vibration of a doubly clamped microbeam is considered. The effects of shear deformation and rotary inertia on the large amplitude vibration of the microbeam are investigated. To this end, first Hamilton’s principle...

...C. Mei In this paper, wave vibration analysis of axially loaded bending-torsion coupled composite beam structures is presented. It includes the effects of axial force, shear deformation, and rotary inertia; namely, it is for an axially loaded composite Timoshenko beam. The study also includes...

... actuator, which is poled in the circumferential direction, will induce transverse shear deformation of the hybrid shell when it is subjected to an electric field in the radial direction. Suitable displacement and electric potential functions that identically satisfy the boundary conditions at the simply...

... for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received April 2001; revised Oct. 2002. Associate Editor: J. Wickert. 01 April 2001 01 Oct 2002 01 04 2003 vibrations composite materials differential equations shear deformation shear modulus The rapid...

... rotations at every point along the member. The proposed solution is based on a new finite-element method for deriving the exact dynamic stiffness matrix for the member, including the effects of the axial and the shear deformations and the rotational inertia effects for any desired precision. The natural...

...Sergio H. S. Carneiro; Daniel J. Inman A continuous model for the transverse vibrations of cracked beams including the effect of shear deformation is derived. Partial differential equations of motion and associated boundary conditions are obtained via the Hu-Washizu-Barr variational principle...

... method. Previous studies of the individual effects associated with the rotary inertia, gyroscopic phenomenon, shear deformation, axial loading and internal damping on the dynamic behavior of rotary systems are all incorporated and examined in this study. The calculated transient and steady displacements...

... on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received July 1996; revised Oct. 1997. Associate Technical Editor: L. A. Bergman. 01 July 1996 01 Oct 1997 vibrations structural acoustics shear deformation vibrational modes...