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Volumn 84, Issue 1, 1998, Pages 64-76

Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; FREQUENCY RESPONSE; HYDRODYNAMICS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; VIBRATIONS (MECHANICAL); VISCOSITY;

EID: 0032109073     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.368002     Document Type: Article
Times cited : (1267)

References (43)
  • 1
    • 85034486110 scopus 로고
    • Tech. Rep. No. 2, DTMB, Contract NObs-86396(X), Southwest Research Institute, San Antonio, Texas
    • W.-H. Chu, Tech. Rep. No. 2, DTMB, Contract NObs-86396(X), Southwest Research Institute, San Antonio, Texas (1963).
    • (1963)
    • Chu, W.-H.1
  • 27
    • 85034486025 scopus 로고    scopus 로고
    • note
    • This is directly applicable to cantilever beams of small dimensions, such as those encountered in the atomic force microscope.
  • 34
    • 85034467632 scopus 로고    scopus 로고
    • note
    • This condition can be satisfied even for beams with salient edges, since in practice the radius of curvature of such edges is never zero.
  • 36
    • 0004272729 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • G. K. Batchelor, Fluid Dynamics (Cambridge University Press, Cambridge, UK, 1974).
    • (1974) Fluid Dynamics
    • Batchelor, G.K.1
  • 37
    • 85034479653 scopus 로고    scopus 로고
    • note
    • The convention adopted for the Reynolds number is in line with Ref. 36. We point out that the Reynolds number is often associated with the nonlinear convective inertial term of the Navier Stokes equation. This latter convention has not been adopted here.
  • 40
    • 85034477519 scopus 로고    scopus 로고
    • note
    • For consistency with Eq. (6), the oscillations have a time dependence given by exp(-iωt), corresponding to a forward traveling wave.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.