Acta Mechanica

, Volume 227, Issue 2, pp 333–352 | Cite as

On the modeling of tilted fixed-guided flexible beams under tension

  • Ali Bazaei
  • Mohammad Maroufi
  • S. O. Reza Moheimani
Original Paper


We derive explicit solutions for a fixed-guided slender suspension beam that is initially straight and tilted with respect to the moving direction of its sliding end. The beam experiences substantial axial forces during the tension, resulting in a nonlinear boundary value problem. We consider sliding end displacements in the direction that cause longitudinal tension along the beam. We first propose an exact approach, leading to analytical solutions for various physical variables such as the transverse force and deflection profile, in terms of the axial force and the positive real solution of a third-order algebraic equation. We also propose an alternative approximate solution based on a second-order equation, which provides closed-form analytical solutions for the physical variables. We also introduce analytical validation techniques for the underlying assumptions. Consistency with nonlinear finite-element analysis is also addressed. Moreover, the results of the approximate method are represented by dimensionless formulas, generating charts to predict solutions for arbitrarily assigned beam parameters. Magnitudes of the normal and shear stress values are also included to consider the effects of yield and shear strengths as the limiting factors at large deflection conditions.


Axial Force Transverse Force Beam Length Exact Approach Approximate Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Wien 2015

Authors and Affiliations

  • Ali Bazaei
    • 1
  • Mohammad Maroufi
    • 1
  • S. O. Reza Moheimani
    • 2
  1. 1.School of Electrical Engineering and Computer ScienceUniversity of Newcastle AustraliaCallaghanAustralia
  2. 2.Department of Mechanical EngineeringUniversity of Texas at DallasDallasUS

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