Mathieu-type nonlinear responses of the resonantly excited micro-cantilever to viscous loads for varying elastic stiffness and quality factors


Yılmaz Ç.

Global Summit on Advanced Materials Science and Nanotechnology, Dubai, Birleşik Arap Emirlikleri, 22 - 23 Kasım 2024, ss.1

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Dubai
  • Basıldığı Ülke: Birleşik Arap Emirlikleri
  • Sayfa Sayıları: ss.1
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The sensitivity of the micro-cantilevers to target external forces in different environments can be improved by resonating them in monomodal and multimodal operations. Different types of external forces can simultaneously act the resonantly driven micro-cantilevers which interact with the biological samples or function with microelectromechanical devices. Correspondingly, determining the proper properties of the micro-cantilevers for different flexural eigenmodes is quite crucial to achieve the desired micro-cantilever sensitivity. In rheological applications, nonlinear models can be used to predict micro-cantilever behaviors in different fluids. Dynamic responses at the first two flexural eigenmodes considerably change in response to varying excitation amplitudes in the Mathieu function. Out-of-plane displacements of the micro-cantilevers are strongly responsive to varying elastic stiffness and quality factors. It is worth mentioning that the equilibrium position is higher for the smallest elastic stiffness of 0.9 N/m at the first flexural eigenmode. Furthermore, hydrodynamic loads determined using Sader’s functions induce non-periodic oscillations. Hydrodynamic peak forces mostly ascend with increasing dynamic viscosity and density as expected. More deterministic hydrodynamic force patterns are also obtained for different quality factors at the first flexural eigenmode when compared with the higher flexural eigenmode. Observable sensitivity to viscous loads can be enhanced by selecting proper quality factors of the micro-cantilever, especially at the fundamental eigenmode. Therefore, nonlinear models can be robustly utilized to reflect the hydrodynamics of resonating micro-cantilevers with different mechanical properties.