In this paper, a comprehensive study is presented on the effect of beam's length, shear deformation and beam's theory on the dynamic modeling of single-link flexible manipulator. At the first step, Euler-Bernoulli beams theory (EBBT) is adopted. According to this model the effect of shear deformation is neglected. So, this model is only reliable for the case of slender beam. When the beam is sh...

This work presents a comprehensive methodology for dimensional reduction of anisotropic slender structures with embedded anisotropic piezocomposite materials. The analysis is based on a variational-asymptotic formulation, and provides cross-sectional stiffness, inertia and actuation forces for a beam modeling of the structure. It can retain higher-order information corresponding to non-classica...

In this paper, nonlinear vibration analysis of functionally graded piezoelectric (FGP) beam with porosities material is investigated based on the Timoshenko beam theory. Material properties of FG porous beam are described according to the rule of mixture which modified to approximate material properties with porosity phases. The Ritz method is used to obtain the governing equation which is then...

Beams supported by elastic foundations are one of the complex soil-structure interaction problems that have been studied using "beam on foundation" concept. To support loads, structural foundation and soil continuum must work together. The development more accurate model simpler procedure critical for safety cost-effective construction such type structure. Three nodded beams based Timoshenko be...

The dynamic response of the Timoshenko beam resting on an elastic foundation subjected to harmonic moving load using modal analysis (MA) was investigated. method MA employed obtain a closed form solution this class dynamical systems. In order use MA, accurate information is needed natural frequencies, mode shapes and orthogonality shapes. A thorough literature survey reveals that has not been r...

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...

When modeling mechanical objects and their systems, mathematical models developed for an elastic domain are most often used, which in some cases can lead to significant inaccuracies calculations. The use of that take into account visco-elastic properties or energy dissipation allows obtain more realistic models, will make it possible accurate calculation results. In the paper non-stationary loa...