free vibration analysis of higher-order shear deformation beam resting on one- and two-parameter elasticfoundation is studied using differential transform method (dtm) as a part of a calculation procedure. first,the governing differential equations of beam are derived in a general form considering the shear-freeboundary conditions (zero shear stress conditions at the top and bottom of a beam). ...

An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems consisting flexible beams and rigid bodies. The theory sufficiently general in that bodies can be any shape or size, but importantly, permits connections to number at arbitrary points oriented angles. For beam members, a range theories including Bernoulli-Euler Timoshenko are applied. assembly pr...

Vibrations are ubiquitous in mechanical or biological systems, and they ruinous numerous circumstances. We develop a viscoelastic Timoshenko beam model, which naturally captures distinctive power-law responses arising from broad distribution of time-scales presented the complex internal structures materials so provides very competitive description beams, thick beams subject to high-frequency ex...

The Riesz basis property of the generalized eigenvector system of a Timoshenko beam with boundary feedback controls applied to two ends is studied in the present paper. The spectral property of the operator A determined by the closed loop system is investigated. It is shown that operator A has compact resolvent and generates a C0 semigroup, and its spectrum consists of two branches and has two ...

This paper studies free vibration of functionally graded beams Subjected to Axial Load that is simply supported at both ends lies on a continuous elastic foundation. The displacement field of beam is assumed based on Engesser-Timoshenko beam theory. The Young's modulus of beam is assumed to be graded continuously across the beam thickness. Applying the Hamilton's principle, the governing equati...

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 of the problem are stated in terms of GMLSM shape functions and the generalized Newmarkscheme is applied for solving the discrete equations...

It is well known that tires play an important role in the generation of rolling noise. For low frequencies, the circular ring model can describe in a simple way the tire dynamic behaviour. This model is based on the Euler Bernoulli beam theory and takes into account the prestress generated by the internal air pressure but is otherwise linear. However, nonlinear effects resulting from high inter...

In this paper, the non-linear dynamic response of rectangular atomic force microscopy in tapping mode is considered. The effect of cantilever’s geometrical parameters (e.g., cantilever length, width, thickness, tip length and the angle between the cantilever and the sample's surface in liquid environment has been studied by taking into account the interaction forces. Results indicate that the r...