Accuracy of AFM force distance curves via direct solution of the Euler-Bernoulli equation
- Biomedical Engineering Department, Case Western Reserve University, Cleveland, OH (United States)
- Department of Physics, Yeshiva University, New York, NY (United States)
In an effort to improve the accuracy of force-separation curves obtained from atomic force microscope data, we compare force-separation curves computed using two methods to solve the Euler-Bernoulli equation. A recently introduced method using a direct sequential forward solution, Causal Time-Domain Analysis, is compared against a previously introduced Tikhonov Regularization method. Using the direct solution as a benchmark, it is found that the regularization technique is unable to reproduce accurate curve shapes. Using L-curve analysis and adjusting the regularization parameter, λ, to match either the depth or the full width at half maximum of the force curves, the two techniques are contrasted. Matched depths result in full width at half maxima that are off by an average of 27% and matched full width at half maxima produce depths that are off by an average of 109%.
- OSTI ID:
- 22611636
- Journal Information:
- AIP Advances, Vol. 6, Issue 3; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 2158-3226
- Country of Publication:
- United States
- Language:
- English
Similar Records
Chaotic dynamics of flexible Euler-Bernoulli beams
Modelling a rotating shaft as an elastically restrained Bernoulli-Euler beam