Je. Sader et L. White, THEORETICAL-ANALYSIS OF THE STATIC DEFLECTION OF PLATES FOR ATOMIC-FORCE MICROSCOPE APPLICATIONS, Journal of applied physics, 74(1), 1993, pp. 1-9
The analysis of the static deflection of cantilever plates is of funda
mental importance in application to the atomic force microscope (AFM).
In this paper we present a detailed theoretical study of the deflecti
on of such cantilevers. This shall incorporate the presentation of app
roximate analytical methods applicable in the analysis of arbitrary ca
ntilevers, and a discussion of their limitations and accuracies. Furth
ermore, we present results of a detailed finite element analysis for a
current AFM cantilever, which will be of value to the users of the AF
M.