An investigation into the significance of the non-linear terms in the equations of motion for a cantilevered beam Academic Article uri icon


  • Non-linear beam models can provide accurate and efficient results and are therefore used frequently in the structural dynamic analysis of large-aspect-ratio cantilevered structures. Using a beam model is especially beneficial in aeroelastic applications, which are computationally expensive. This paper investigates the significance of each of the non-linear terms in a third-order non-linear beam model and shows the importance of retaining terms up to the third order. The approach presented in this paper provides an effective method to simplify the non-linear equations of motion by including the most significant non-linear terms. The resulting equations preserve the fidelity of the original equations and are easier to manipulate. 2012 Elsevier Ltd. All rights reserved.

published proceedings

  • International Journal of Non-Linear Mechanics

author list (cited authors)

  • Freno, B. A., & Cizmas, P.

citation count

  • 6

complete list of authors

  • Freno, Brian A||Cizmas, Paul GA

publication date

  • January 2012