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Analysis of Fir Tree Root of Aero-engine Disc Assembly for Simultaneous Optimization of Fretting Characteristics

  • A. BharatishEmail author
  • P. V. Srihari
  • Ashishkumar Panchal
  • H. N. Narasimhamurthy
Original Contribution
  • 71 Downloads

Abstract

An aero-engine fir tree blade disc assembly is much proven to fretting fatigue damages due to centrifugal and vibrating conditions. This paper examines the effect of disc speed, contact angle and co-efficient of friction on fretting responses such as equivalent von-Mises stress, maximum shear stress and contact pressure by adopting Taguchi based grey relational analysis and RSM. All of the fretting responses were influenced by disc speed and contact angle. Multi response optimization achieved using grey relational analysis indicated that minimum equivalent von-Mises stress (0.63 MPa), shear stress (0.36 MPa) and contact pressure (0.681 MPa) are achieved at 260 rpm of disc speed, 17.5° of contact angle and 0.3 co-efficient of friction. Significant improvement was noticed in terms of stress concentration reduction at optimal conditions. Confirmatory simulation runs were performed to ensure the grey relational analysis results.

Keywords

Fretting fatigue Fir tree root Contact analysis Design of experiments 

Notations

a

Inner radius of disc

b

Outer radius of disc

E

Young’s modulus

G

Shear Modulus

K

Rigidity Modulus

l

Flank length

n

Number of teeth

p(x)

Normal load

q(x)

Shear load

Ri

Inner radius of teeth

Ro

Outer radius of teeth

T

Thickness

ux

Displacement in x direction

uy

Displacement in y direction

α

Contact angle

γ

Top flank angle

µ

Co-efficient of friction

θ

Skew angle

ρ

Density

υ

Poisons ratio

ξ

Natural co-ordinate

β

Bottom flank angle

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Copyright information

© The Institution of Engineers (India) 2018

Authors and Affiliations

  • A. Bharatish
    • 1
    Email author
  • P. V. Srihari
    • 1
  • Ashishkumar Panchal
    • 1
  • H. N. Narasimhamurthy
    • 1
  1. 1.Rashtreeya Vidyalaya College of EngineeringBengaluruIndia

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