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

  • Olasunmbo O. AgboolaEmail author
  • Jacob A. Gbadeyan
  • Abiodun A. Opanuga
  • Michael C. Agarana
  • Sheila A. Bishop
  • Jimevwo G. Oghonyon
Conference paper


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.


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



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


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Olasunmbo O. Agboola
    • 1
    Email author
  • Jacob A. Gbadeyan
    • 2
  • Abiodun A. Opanuga
    • 1
  • Michael C. Agarana
    • 3
    • 1
  • Sheila A. Bishop
    • 1
  • Jimevwo G. Oghonyon
    • 1
  1. 1.Department of MathematicsCovenant UniversityOtaNigeria
  2. 2.Department of MathematicsUniversity of IlorinIlorinNigeria
  3. 3.Department of Mechanical Engineering ScienceUniversity of JohannesburgJohannesburgSouth Africa

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