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The World Congress on Engineering

WCE 2017: Transactions on Engineering Technologies pp 165–176Cite as

Natural Frequencies of an Euler-Bernoulli Beam with Special Attention to the Higher Modes via Variational Iteration Method

Abstract

In this chapter, natural frequencies of an Euler-Bernoulli prismatic beam on different supports are analyzed. The variational iteration method (VIM) is employed to compute the said natural frequencies especially for the higher modes of vibration. Some numerical examples are presented with the view to demonstrating excellent agreement between the results obtained using VIM and other methods.

Keywords

  • Cantilever beam
  • Clamped-clamped beam
  • Euler-Bernoulli beam
  • Natural frequency
  • Prismatic beam
  • Variational iteration method

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Acknowledgements

This work was financially supported by Covenant University, Ota, Nigeria under her Center for Research, Innovation and Discovery.

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Authors and Affiliations

  1. Department of Mathematics, Covenant University, Ota, Nigeria

    Olasunmbo O. Agboola, Abiodun A. Opanuga, Michael C. Agarana, Sheila A. Bishop & Jimevwo G. Oghonyon

  2. Department of Mathematics, University of Ilorin, Ilorin, Nigeria

    Jacob A. Gbadeyan

  3. Department of Mechanical Engineering Science, University of Johannesburg, Johannesburg, South Africa

    Michael C. Agarana

Authors
  1. Olasunmbo O. Agboola
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  2. Jacob A. Gbadeyan
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  3. Abiodun A. Opanuga
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  4. Michael C. Agarana
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  5. Sheila A. Bishop
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  6. Jimevwo G. Oghonyon
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Corresponding author

Correspondence to Olasunmbo O. Agboola .

Editor information

Editors and Affiliations

  1. Unit 1, 1F, International Association of Engineers Unit 1, 1F, Hong Kong, Hong Kong

    Dr. Sio-Iong Ao

  2. School of Aerospace, Transport & Manuf., Cranfield University School of Aerospace, Transport & Manuf., Cranfield, Beds, United Kingdom

    Prof. Len Gelman

  3. Department of Computer and Communication, Engi. College, Catholic Univ. of DaeGu Department of Computer and Communication, DaeGu, Korea (Republic of)

    Prof. Dr. Haeng Kon Kim

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Agboola, O.O., Gbadeyan, J.A., Opanuga, A.A., Agarana, M.C., Bishop, S.A., Oghonyon, J.G. (2019). Natural Frequencies of an Euler-Bernoulli Beam with Special Attention to the Higher Modes via Variational Iteration Method. In: Ao, SI., Gelman, L., Kim, H. (eds) Transactions on Engineering Technologies. WCE 2017. Springer, Singapore. https://doi.org/10.1007/978-981-13-0746-1_13

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