Effects of non-ideal boundary conditions on natural frequencies of fluid conveying micro-beams

Atci D. Ç., Özkaya E.

International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Greece, 23 - 29 September 2015, vol.1738, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1738
  • Doi Number: 10.1063/1.4952118
  • City: Rhodes
  • Country: Greece
  • Keywords: Fluid conveying micro-beam, Method of multiple scales, Micro-systems, Non-ideal boundary conditions
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, vibrations of fluid conveying micro-beams under non-ideal boundary conditions are investigated. Non-ideal boundary conditions are modeled as a linear combination of ideal clamped and ideal simply supported boundary conditions. The weighting factor k is presented as a rate of non-ideal boundary condition. Non-ideal clamped and non-ideal simply supported beams are both considered to see the effects of the boundary conditions. Hamilton's principle is used to obtain equations of motion of the system and the method of multiple scales which is one of the perturbation techniques is applied to the equation. Approximate solutions of the linear and nonlinear equations of motion are obtained and the effects of non-ideal boundary conditions on natural frequencies are presented.