Journal of Materials Science and Engineering with Advanced TechnologyAuthor's: Kazem Reza Kashyzadeh, Kambiz Ghaemi Osgouie and Alireza Amiri Esfarjani
Pages: [1] - [23]
Received Date: April 18, 2014
Submitted by:
In the present paper, dynamic and vibration behaviour of a flexible cantilever Euler-Bernoulli beam under moving decentralized mass with constant velocity has been studied that loads locating on the beam during the specified time. First, extract the Lagrangian law by using potential energy and kinetic equations, and using the Hamilton equations to obtain motion equation of a system in form of partial differential equations. These equations are coupled because of the bound mass transverse with beam vibration. The mass assumed decentralized and rigid body. According to the boundary conditions for a cantilever beam and using none dimension defined parameters; gain the dimensionless equations of motion of the system. Thus, to solve the integral form of equation used numerical integration method (Simpson’s three-point). Finally, the dimensionless system of equations using numerical methods Rayleigh-Ritz approximated by ordinary differential equations and finite difference methods to solve them are discussed. To validate the survey results of the proposed model, compared with the motion of Euler-Bernoulli beam model by centralized mass movement. To more understanding this model, solve an example by MATLAB Software.
dynamic and vibration behaviour, Euler-Bernoulli beam, flexible cantilever beam, moving decentralized mass, motion equations.
