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Flapwise bending vibration analysis of double tapered rotating Euler–Bernoulli beam by using the differential transform method

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Abstract

In this study, the out-of-plane free vibration analysis of a double tapered Euler–Bernoulli beam, mounted on the periphery of a rotating rigid hub is performed. An efficient and easy mathematical technique called the Differential Transform Method (DTM) is used to solve the governing differential equation of motion. Parameters for the hub radius, rotational speed and taper ratios are incorporated into the equation of motion in order to investigate their effects on the natural frequencies. Calculated results are tabulated in several tables and figures and are compared with the results of the studies in open literature where a very good agreement is observed.

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References

  1. Özdemir Ö, Kaya MO (2006) Flapwise bending vibration analysis of a rotating tapered cantilevered Bernoulli–Euler beam by differential transform method. J Sound and Vib 289:413–420

    Article  ADS  Google Scholar 

  2. Zhou JK (1986) Differential transformation and its application for electrical circuits. Huazhong University Press, PR, China

    Google Scholar 

  3. Chiou JS, Tzeng JR (1996) Application of the Taylor transform to nonlinear vibration problems. Trans Am Soc Mech Eng J Vib Acoust 118:83–87

    Article  Google Scholar 

  4. Jang MJ, Chen CL, Liu YC (2001) Two-dimensional differential transform for partial differential equations. Appl Mathe Comput 121:261–270

    Article  MathSciNet  MATH  Google Scholar 

  5. Abdel IH, Hassan H (2002) On solving some eigenvalue-problems by using a differential transformation. Appl Math Comput 127:1–22

    Article  MathSciNet  MATH  Google Scholar 

  6. Chen CK, Ju SP (2004) Application of differential transformation to transient advective–dispersive transport equation. Appl Math Comput 155:25–38

    Article  MathSciNet  MATH  Google Scholar 

  7. Arikoglu A, Ozkol I (2005) Solution of boundary value problems for integro-differential equations by using differential transform method. Appl Math Comput 168(2):1145–1158

    Article  MathSciNet  MATH  Google Scholar 

  8. Bert CW, Zeng H (2004) Analysis of axial vibration of compound bars by differential transformation method. J Sound Vib 275:641–647

    Article  ADS  Google Scholar 

  9. Banerjee JR (2001) Dynamic stiffness formulation and free vibration analysis of centrifugally stiffened Timoshenko beams. J Sound Vib 247(1):97–115

    Article  ADS  Google Scholar 

  10. Downs B (1977) Transverse vibrations of cantilever beam having unequal breadth and depth tapers. J Appl Mech 44:737–742

    Google Scholar 

  11. Hodges DH, Rutkowski MJ (1981) Free vibration analysis of rotating beams by a variable order finite element method. Am Instit Aeronaut Astronaut J 19:1459–1466

    MATH  Google Scholar 

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Authors and Affiliations

  1. Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey

    Ozge Ozdemir Ozgumus & Metin O. Kaya

Authors
  1. Ozge Ozdemir Ozgumus
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  2. Metin O. Kaya
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Correspondence to Metin O. Kaya.

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Ozgumus, O.O., Kaya, M.O. Flapwise bending vibration analysis of double tapered rotating Euler–Bernoulli beam by using the differential transform method. Meccanica 41, 661–670 (2006). https://doi.org/10.1007/s11012-006-9012-z

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  • DOI: https://doi.org/10.1007/s11012-006-9012-z

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