Effect of Taper on Free Vibration of Functionally Graded Rotating Beam by Mori-Tanaka Method

  • Pacharu Ravi KumarEmail author
  • Koganti Mohana Rao
  • Nalluri Mohan Rao
Original Contribution


Rotating beams are the practical application for aircraft propellers, helicopter blades, wind mill propeller, turbine blades and spinning space structures. In these structures, taper beams are preferred due to optimum weight distribution with uniform strength. Vibration behavior of tapered variable section beams subjected to centrifugal forces is important in analysis of structures. The research work deals with flapwise vibration of functionally graded (FG) rotating taper beam. The material properties of the beam change symmetrically in the direction of thickness from middle surface to the outer surfaces. Mori-Tanaka method estimates these properties of FG beam. The flapwise frequencies are obtained using Differential Transform Method (DTM). The effect of different parameters such as rotating speed, taper ratio, hub radius ratio and gradient index on flapwise frequency is discussed.


FG material Rotating taper beam Differential transform method Mori-Tanaka method Flapwise vibration 



Area of the beam at a distance x


Equivalent young’s_modulus


Moment of inertia


Mass of the beam per unit length


Gradient index


Hub root radius


Ceramic volume fraction


Metal volume fraction


Flapwise displacement


Longitudinal coordinate of the beam


Lateral coordinate of the beam


Non dimensional rotating speed


Hub radius ratio


Non dimensional beam length


Equivalent density


Flapwise frequency


Rotating speed


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Copyright information

© The Institution of Engineers (India) 2018

Authors and Affiliations

  • Pacharu Ravi Kumar
    • 1
    Email author
  • Koganti Mohana Rao
    • 2
  • Nalluri Mohan Rao
    • 3
  1. 1.Mechanical Engineering DepartmentPrasad V. Potluri, Siddhartha Institute of TechnologyVijayawadaIndia
  2. 2.Mechanical Engineering DepartmentVelagapudi Ramakrishna Siddhartha Engineering CollegeVijayawadaIndia
  3. 3.Mechanical Engineering Department, University College of EngineeringJawaharlal Nehru Technological University KakinadaKakinadaIndia

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