High-frequency response of atomic-force microscope cantilevers

摘要: Recent advances in atomic-force microscopy have moved beyond the original quasistatic implementation into a fully dynamic regime which microscope cantilever is contact with an insonified sample. The resulting dynamical system complex and highly nonlinear. Simplification of this problem often realized by modeling as one degree freedom system. This type first-mode approximation (FMA), or point-mass model, has been successful advancing material property measurement techniques. limits validity such not, however, addressed. In article, complete flexural beam equation examined compared directly FMA using both linear nonlinear examples. These comparisons are made analytical finite difference numerical two systems shown to differences drive-point impedance influenced differently interaction damping. It that higher modes must be included for excitations above first resonance if low high frequency dynamics modeled accurately.