Fundamental frequencies of a torsional cantilever nano beam for dynamic atomic force microscopy (dAFM) in tapping mode

Moutlana, Malesela K.; Adali, Sarp

doi:10.1007/s00542-018-4166-x

Cited by 4 publications

(1 citation statement)

References 46 publications

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“…Today carbon nanotubes (CNTs) (Iijima et al, 1992) are used as a sensor in many nanoelectromechanical systems (Esfahani et al, 2019). Nano-resonators and oscillators are important kinds of these systems (Moutlana and Adali, 2019). The mechanism of this system is based on the detection of the force on the nanotube.…”

Section: Introductionmentioning

confidence: 99%

Modified nonlocal theory for investigation the specific aspects of nonlinear behavior of carbon nanotube as a nano-resonator

ShayanMehr

Basiri

2020

WJE

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Purpose In this paper, the important aspects of vibration analysis of carbon nanotubes (CNTs) as nano-resonators are studied. This study has covered the important nonlinear phenomena such as jump super-harmonic and chaotic behavior. CNT is modeled by using the modified nonlocal theory (MNT). Design/methodology/approach In previous research studies, the effects of CNT’s rotary inertia, stiffness and shear modulus of the medium were neglected. So by considering these terms in MNT, a comprehensive model of vibrational behavior of carbon nanotube as a nanosensor is presented. The nanotube is modeled as a nonlocal nonlinear beam. The first eigenmode of an undamped simply supported beam is used to extract the nonlinear equation of CNT. Harmonic balance method is used to solve the equation, while to study its super-harmonic behavior, higher-order harmonic terms were used. Findings In light of frequency response equation, jump phenomenon and chaotic behavior of the nanotube with respect to the amplitude of excitation are investigated. Also in each section of the study, the effects of elastic medium and nonlocal parameters on the vibration behavior of nanotube are investigated. Furthermore, parts of the results in linear and nonlinear cases were compared with results of other references. Originality/value The present modification of the nonlocal theory is so important and useful for accurate investigation of the vibrational behavior of nano structures such as a nano-resonator.

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Section: Introductionmentioning

confidence: 99%

Modified nonlocal theory for investigation the specific aspects of nonlinear behavior of carbon nanotube as a nano-resonator

ShayanMehr

Basiri

2020

WJE

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Vibration analysis of a rotating cantilever double-tapered AFGM nanobeam

2020

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Interaction of the fundamental frequencies of a torsional cantilever nanobeam and spring mass system single degree of freedom (SDOF) under axial load, including buckling

Moutlana

Adali

2023

SN Appl. Sci.

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In this study we present the interactions of the fundamental frequencies of a nanomanufacturing coupled system by exploring the natural frequencies of the subsystems. These nanomanufacturing subsystems function in concert, e.g., a cantilever beam with spring-mass. The individual subsystems are studied under free vibration to generate the natural and buckling frequencies. These subsystems, when under free vibration, generate unique local natural frequencies that interact to form a unique global natural frequency. This allows for greater control and improved sensitivity for scanning and shaping nano surfaces, by allowing selective variation of the local frequency of one system to influence the global system frequencies. In this investigation, a nanobeam with arbitrary boundary conditions is used to model the system and the effects on the parameters of interest are studied. Euler–Bernoulli theory is applied in conjunction with Eringen’s theory of nonlocal continuum theory to model the small-scale effects due to the size of the beam under consideration. The coupled equations are solved using separation of variables for the local and global frequencies. The nanobeam is restrained with an adjustable torsional spring and pin at one end. The boundary condition at the free end is a spring-mass system with axial load. Altering the torsional, transverse spring stiffness and mass increases or decreases the natural frequencies. The motions of the beam and the tip-mass generates a frequency response during contact interactions. The tip response frequency is used to determine the maximum displacements (penetration depth) and accelerations (contact forces) in a sample during nanomanufacturing.

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Fundamental frequencies of a torsional cantilever nano beam for dynamic atomic force microscopy (dAFM) in tapping mode

Cited by 4 publications

References 46 publications

Modified nonlocal theory for investigation the specific aspects of nonlinear behavior of carbon nanotube as a nano-resonator

Modified nonlocal theory for investigation the specific aspects of nonlinear behavior of carbon nanotube as a nano-resonator

Vibration analysis of a rotating cantilever double-tapered AFGM nanobeam

Interaction of the fundamental frequencies of a torsional cantilever nanobeam and spring mass system single degree of freedom (SDOF) under axial load, including buckling

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