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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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Correspondence to Olasunmbo O. Agboola .

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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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