Akademik Veri Yönetim Sistemi
PHYSICA SCRIPTA, cilt.101, sa.12, ss.1-14, 2026 (SCI-Expanded, Scopus)
The Atomic Force Microscopy (AFM) micro-cantilevers are extensively used to explore observable responses to tip-sample interaction forces such as Van der Waals and Casimir forces under multi-frequency excitations. The present work introduces new s-domain expressions to describe oscillatory responses of different commercial AFM micro-cantilevers to dynamic acoustic forces under single- and bimodal-frequency operations. In the current study, firstly, the Laplace’s method is implemented to determine the open-loop transfer functions of the dynamic systems with diverse mechanical features. Then, changes in pole and zero locations are obtained to exhibit varied instabilities of the micro-cantilever responses for diverse frequencies of acoustic forces. Moreover, time-domain behaviors and magnitude/phase responses to acoustic forces within the frequency bandwidth of 250 kHz to 540 kHz are demonstrated for the first two flexural eigenmodes. The analytical results are then validated with the ones, determined utilizing the Fourth-order Runge-Kutta method. The degree of closeness among analytical and numerical results points out the validity of the s-domain expressions. For instance, in bimodal-frequency excitations, amplitudes at the second vibrational mode are numerically (A2=2.76 nm) and analytically (A2=3.15 nm) obtained for the acoustic force frequency of 480 kHz using the Olympus AC240TS AFM micro-cantilever. The analytical technique developed in the current work enables to detect highly sensitive responses to acoustic forces near the eigenmode frequencies of the AFM mico-cantilevers.