Determination of unknown shear force in transverse dynamic force microscopy from measured final data

O Baysal, A Hasanov, S Kumarasamy - Journal of Inverse and Ill …, 2024 - degruyter.com
In this paper, we present a new methodology, based on the inverse problem approach, for
the determination of an unknown shear force acting on the inaccessible tip of the …

Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip

A Hasanov, O Baysal, A Kawano - arXiv preprint arXiv:2306.03037, 2023 - arxiv.org
In this paper, a dynamic model of reconstruction of the shear force $ g (t) $ in the Atomic
Force Microscopy (AFM) cantilever tip-sample interaction is proposed. The interaction of the …

Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation

J Cheng, Z Yang, X Zheng - Journal of Inverse and Ill-posed …, 2024 - degruyter.com
We propose an inverse problem of determining the mechanical and variable-order
parameters of the Euler–Bernoulli beam on viscoelastic foundation. For this goal, we …

Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers

O Baysal, A Hasanov, A Kawano - Journal of Mathematical Analysis and …, 2024 - Elsevier
In this paper, the vibration model of an elastic beam, governed by the damped Euler-
Bernoulli equation ρ (x) ut t+ μ (x) u t+(r (x) uxx) xx= 0, subject to the clamped boundary …

An accurate approach to determining the spatiotemporal vehicle load on bridges based on measured boundary slopes

A Hasanov, O Baysal - arXiv preprint arXiv:2412.20778, 2024 - arxiv.org
In this paper, a novel mathematical model is developed to evaluate the spatiotemporal
vehicle loads on long bridges from slope measurements made at the ends of a bridge based …