Development a Free-Free Transverse Beam Model using Lateral Vibrations of Beam Conventional Method during Seismic Activity

Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free Method

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

free transverse vibration of an inflated pressurised cantilever beam.

the fundamental natural frequency of vibration of an inflatable cantilever beam is computed from the system of the three equeations given for vibratory motion of the beam. the effect of various parameters is discussed, and it is shown that, as internal pressure increases, fundamental natural frequency will increase , indicating the stiffening characteristics of internal pressure. a single exper...

Electrostatic Free - Free Beam

Free vibrations of a strain gradient beam by the method of initial values

We extend the application of the method of initial values (also known as the transfer matrix method) to find frequencies of free vibrations of a strain-gradient-dependent Euler–Bernoulli beam (EBB) under different boundary conditions at the two end faces of the beam. For the classical EBB, we find the exact matricant or the carry-over matrix but it is numerically evaluated for the strain-gradie...

A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads

In this paper, based on Kelvin and Linear Standard Solid models, dynamic response and the buckling load of a viscoelastic beam under  lateral and axial loads have been determined. The governing equations have been extracted using Euler  and Timoshenko theories and their analytical solutions have been obtained by using the eigenfunctions expansion method. Buckling load have been calculated by us...