Abstract




 
   

Vol. 18, No. 4 (November 2005) 319-330   

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  A NEW APPROACH FOR VIBRATION ANALYSIS OF A CRACKED BEAM
 
M. Behzad, A. Meghdari, A. Ebrahimi

Mechanical Engineering Department, Sharif University of Technology, Tehran, IRAN
m_behzad@sharif.edu , meghdari@sharif.edu , a_ebrahimi@mehr.sharif.edu

 
( Received: April 05, 2005 )
 
 

Abstract    In this paper the equations of motion and corresponding boundary conditions for bending vibration of a beam with an open edge crack has been developed by implementing the Hamilton principle. A uniform Euler-Bernoulli beam has been used in this research. The natural frequencies of this beam have been calculated using the new developed model in conjunction with the Galerkin projection method. The crack has been modeled as a continuous disturbance function in displacement field which could be obtained from fracture mechanics. The results show that the natural frequencies of a cracked beam reduce by increasing crack depth. There is an excellent agreement between the theoretically calculated natural frequencies and those obtained using the finite element method.

 

Keywords    Cracked Beam, Continuous Model, Natural Frequency

 

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