Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
نویسنده
چکیده
The vibrational characteristics of a cantilever beam are well known to strongly depend on the fluid in which the beam is immersed. In this paper, we present a detailed theoretical analysis of the frequency response of a cantilever beam, that is immersed in a viscous fluid and excited by an arbitrary driving force. Due to its practical importance in application to the atomic force microscope ~AFM!, we consider in detail the special case of a cantilever beam that is excited by a thermal driving force. This will incorporate the presentation of explicit analytical formulae and numerical results, which will be of value to the users and designers of AFM cantilever beams. © 1998 American Institute of Physics. @S0021-8979~98!03213-7#
منابع مشابه
Frequency response of cantilever beams immersed in viscous fluids near a solid surface with applications to the atomic force microscope
Theoretical models for the frequency response of a cantilever beam immersed in a viscous fluid commonly assume that the fluid is unbounded. Experimental measurements show, however, that proximity to a surface can significantly affect the frequency response of a cantilever beam. In this article, we rigorously calculate the effect of a nearby surface on the frequency response of a cantilever beam...
متن کاملTorsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
The frequency response of a cantilever beam is strongly dependent on the fluid in which it is immersed. In a companion study, Sader @J. Appl. Phys. 84, 64, ~1998!# presented a theoretical model for the flexural vibrational response of a cantilever beam, that is immersed in a viscous fluid, and excited by an arbitrary driving force. Due to its relevance to applications of the atomic force micros...
متن کاملExperimental validation of theoretical models for the frequency response of atomic force microscope cantilever beams immersed in fluids
Detailed measurements of the frequency responses of a series of rectangular atomic force microscope ~AFM! cantilever beams, immersed in a range of fluids, have been performed to test the validity and accuracy of the recent theoretical model of Sader @J. Appl. Phys. 84, 64 ~1998!#. This theoretical model gives the frequency response of a cantilever beam, that is immersed in a viscous fluid and e...
متن کاملStudy of the flexural sensitivity and resonant frequency of an inclined AFM cantilever with sidewall probe
The resonant frequency and sensitivity of an atomic force microscope (AFM) cantilever with assembled cantilever probe (ACP) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. The proposed ACP comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the AFM capable of topography at sidew...
متن کاملStudy of the flexural sensitivity and resonant frequency of an inclined AFM cantilever with sidewall probe
The resonant frequency and sensitivity of an atomic force microscope (AFM) cantilever with assembled cantilever probe (ACP) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. The proposed ACP comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the AFM capable of topography at sidew...
متن کامل