Contact resonance atomic force microscopy using long elastic tips
Source abstract
Abstract
Abstract In this work, a new theoretical model for contact resonance atomic force microscopy, which incorporates the elastic dynamics of a long sensing tip is presented. The model is based on the Euler–Bernoulli beam theory and includes coupling effects from the two-beam structure, also known as an ‘L-shaped’ beam in the literature. Here, high-accuracy prediction of the sample stiffness, using several vibration modes with a relative error smaller than 10% for practical working ranges, is demonstrated. A discussion on the model’s capability to predict the dynamic phenomena of eigenmode veering and crossing, as the force applied to the sample increases, is presented. The L-shaped beam model presented here is also applicable for structural applications such as: micro-electro-mechanical systems, energy harvesting, and unmanned aerial vehicle landing gear.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Force Microscopy Techniques and Applications · Mechanical and Optical Resonators · Near-Field Optical Microscopy
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (52)
Show source-provided references
1. Acoustic microscopy by atomic force microscopy10.1063/1.111869 ↗
2. Vibrations of free and surface-coupled atomic force microscope cantilevers: theory and experiment10.1063/1.1147409 ↗
3. A super high aspect ratio atomic force microscopy probe for accurate topography and surface tension measurement10.1016/j.sna.2022.113891 ↗
4. 3d nanomechanical mapping of subcellular and sub-nuclear structures of living cells by multi-harmonic afm with long-tip microcantilevers10.1038/s41598-021-04443-w ↗
5. A new insight into the mechanical properties of nanobiofibers and vibrational behavior of atomic force microscope beam considering them as the samples10.1016/j.jmbbm.2023.105842 ↗
6. Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy10.1177/10775463211038140 ↗
7. Noncontact viscoelastic measurement of polymer thin films in a liquid medium using long-needle atomic force microscopy10.1021/acs.langmuir.6b04066 ↗
8. Intrinsically high-q dynamic afm imaging in liquid with a significantly extended needle tip10.1088/0957-4484/23/23/235704 ↗
9. Dynamical modeling of manipulation process in trolling-mode afm10.1016/j.ultramic.2018.11.017 ↗
10. Long-tip high-speed atomic force microscopy for nanometer-scale imaging in live cells10.1038/srep08724 ↗
11. Hydrodynamic loading of microcantilevers oscillating near rigid walls10.1063/1.3033499 ↗
12. Liquid contact resonance atomic force microscopy via experimental reconstruction of the hydrodynamic function10.1063/1.4882755 ↗
13. Low frequency and large amplitude oscillations of cantilevers in viscous fluids10.1063/1.3405720 ↗
14. Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope10.1063/1.368002 ↗
15. Small amplitude oscillations of a thin beam immersed in a viscous fluid near a solid surface10.1063/1.1995467 ↗
16. High-speed force sensor for force microscopy and profilometry utilizing a quartz tuning fork10.1063/1.122948 ↗
17. The qplus sensor, a powerful core for the atomic force microscope10.1063/1.5052264 ↗
18. The chemical structure of a molecule resolved by atomic force microscopy10.1126/science.1176210 ↗
19. Observation of electron orbital signatures of single atoms within metal-phthalocyanines using atomic force microscopy10.1038/s41467-023-37023-9 ↗
20. Contact resonance atomic force microscopy using long, massive tips10.3390/s19224990 ↗
21. Experimental validation of contact resonance afm using long massive tips10.1088/1361-6528/acda37 ↗
22. Frequency-dependent nanomechanical profiling for medical diagnosis10.3762/bjnano.13.122 ↗
23. Atomic force microscopy on biological materials related to pathological conditions10.1155/2019/8452851 ↗
24. Atomic force microscopy analysis of native infectious and inactivated sars-cov-2 virions10.1038/s41598-021-91371-4 ↗
25. A molecular delivery system by using afm and nanoneedle10.1016/j.bios.2004.08.023 ↗
26. High-efficiency dna injection into a single human mesenchymal stem cell using a nanoneedle and atomic force microscopy, Nanomedicine: Nanotechnology10.1016/j.nano.2008.03.005 ↗
27. Porous silicon nanoneedles modulate endocytosis to deliver biological payloads10.1002/adma.201806788 ↗
28. Dynamic modeling and robust control of an l-shaped microrobot based on fast trilayer polypyrrole-bending actuators10.1177/1045389X12463619 ↗
29. Deflection properties of a mems optical scanner with four torsion beams and l-shaped arms10.1016/j.sna.2011.12.047 ↗
30. High sensitivity mems accelerometer using pzt-based four l-shaped beam structure10.1109/JSEN.2022.3155407 ↗
31. Modeling of piezoelectric energy harvesting from an l-shaped beam-mass structure with an application to uavs10.1177/1045389X08098096 ↗
32. Piezoelectric energy harvesting using l-shaped structures10.1177/1045389X17730926 ↗
33. Broadband bimorph piezoelectric energy harvesting by exploiting bending-torsion of l-shaped structure10.1016/j.enconman.2020.112503 ↗
34. Vibration of arbitrarily oriented two-member open frames with tip mass10.1006/jsvi.1997.1251 ↗
35. Analytical solution for dynamic analysis of a flexible l-shaped structure10.2514/3.21608 ↗
36. Vibration of a two-member open frame10.1016/S0022-460X(02)01125-2 ↗
37. Finite element modeling of structures with l-shaped beams and bolted joints10.1115/1.4001840 ↗
38. Meirovitch · 1967
39. Kreyszig · 2010
40. Modeling of automotive drum brakes for squeal and parameter sensitivity analysis10.1016/j.jsv.2005.02.007 ↗
41. Quantitative determination of contact stiffness using atomic force acoustic microscopy10.1016/S0041-624X(99)00207-3 ↗
42. Normal and lateral modulation with a scanning force microscope, an analysis: implication in quantitative elastic and friction imaging10.1023/A:1019142025011 ↗
43. Thermal noise in contact atomic force microscopy10.1063/5.0054256 ↗
44. Fundamental and higher eigenmodes of qplus sensors with a long probe for vertical-lateral bimodal atomic force microscopy10.1039/D2NA00686C ↗
45. Simulation of vibrational resonances of stiff afm cantilevers by finite element methods10.1088/1367-2630/11/8/083034 ↗
46. Visual force sensing with flexible nanowire buckling springs10.1088/0957-4484/19/03/035502 ↗
47. Investigating atomic details of the CaF2 (111) surface with a qplus sensor10.1088/0957-4484/16/3/022 ↗
48. Johnson · 1987
49. Contact resonance force microscopy techniques for nanomechanical measurements
50. Deflections and stresses in circular tapered beams and poles
51. Atomic force acoustic microscopy
52. Appendix C: modal analysis of a uniform cantilever with a tip mass10.1002/9781119991151 ↗