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Transverse Vibration and Stability of a Cracked Functionally Graded Rotating Shaft System

  • Debabrata GayenEmail author
  • Debabrata Chakraborty
  • Rajiv Tiwari
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

Transverse vibration and stability of functionally graded (FG) shafts containing a transverse surface crack are studied considering material nonlinearity. Based on Timoshenko beam theory (TBT), a finite element (FE) model is developed for an FG shaft. Under thermal environment, material properties of radially graded FG shafts are considered using power law of material gradation. Stainless steel (SS), alumina (Al2O3) and zirconia (ZrO2) are used as constituent materials of FGM I (SS/Al2O3) and FGM II (SS/ZrO2). Local flexibility coefficients (LFCs) are computed as functions of temperature, size of crack and material gradient index based on linear elastic fracture mechanics. Influences of FGM type, material gradient, temperature gradient and crack size on dynamics of cracked FG rotors system are studied. Results show that beside the crack and geometric parameters, the choice of gradient index has importance on dynamics of the FG shaft for high-temperature applications.

Keywords

FG cracked shaft Power law gradient index Temperature dependency material property Natural whirling frequency Stability threshold speed 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Debabrata Gayen
    • 1
    Email author
  • Debabrata Chakraborty
    • 1
  • Rajiv Tiwari
    • 1
  1. 1.Department of Mechanical EngineeringIndian Institute of Technology GuwahatiGuwahatiIndia

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