Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 31, No. 4 (April 2018) 228-235    Article in Press

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  FREE VIBRATION OF A GENERALIZED PLANE FRAME
 
M. Rezaiee Pajand
 
( Received: October 05, 2017 – Accepted: November 30, 2017 )
 
 

Abstract    This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined members by differential transform method. Based on four differential equations and sixteen boundary and compatibility conditions, the related structural eigenvalues will be analytically computed. The frequency parameters and mode shapes of the frame will be calculated for various values of the structural properties, such as joint angles, springs' stiffness and flexural rigidity of members. Finally, the obtained solution by the proposed method will be verified by authors' finite element program.

 

Keywords    Differential transform method, Free vibration, Plane frames, Elastic supports and joints

 

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