Axial dynamics of functionally graded Rayleigh-Bishop nanorods

Arda, Mustafa

doi:10.1007/s00542-020-04950-2

Cited by 27 publications

(9 citation statements)

References 92 publications

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“…First, it will be necessary in future work to advance the electroelastically coupled analytical model by additionally considering shear effects (e.g. the Rayleigh-Bishop rod theory), to miniaturize PnCincorporated ultrasonic transducers [61]. Second, optimization of an ultrasonic transducer design of a finite size needs to be executed; the objective function can be velocity-amplitude maximization at the target frequency [62].…”

Section: Discussionmentioning

confidence: 99%

Double piezoelectric defects in phononic crystals for ultrasonic transducers

Jo¹,

Lee²,

Yoon³

et al. 2023

J. Phys. D: Appl. Phys.

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Significant prior research has explored elastic wave-energy localization via a defect mode of a phononic crystal (PnC). The integration of defect-introduced PnCs and piezoelectric materials has paved the path for the development of new conceptual products for applications in energy harvesters, wave filters, and ultrasonic sensors. Recently, an attempt has been made to deviate from this paradigm and design an ultrasonic transducer that generates elastic waves. Unfortunately, the previous works have been limited to a single-defect situation. Therefore, as an advanced approach, this work aims to expand the PnC design space into double defects, which will make the ultrasonic transducer useful at several frequencies. As a first step, this study targets longitudinal wave generation. To predict the wave-generation performance, a previous analytical model that was built for energy-harvesting purposes under a single-defect situation is modified to be suitable for the present wave-generation purpose under a double-defect situation. Moreover, two parametric studies are executed to analyze how the output responses change based on changes to the input voltage setting and the spacing between the double defects. We hope that these ultrasonic transducers can be potentially applicable for nondestructive testing in structural health monitoring and ultrasonic imaging in medical science.

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Section: Discussionmentioning

confidence: 99%

Double piezoelectric defects in phononic crystals for ultrasonic transducers

Jo¹,

Lee²,

Yoon³

et al. 2023

J. Phys. D: Appl. Phys.

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“…Analytical solution of the higher order governing equation of motions becomes complicated and time consuming with increasing number of boundary conditions and integration constants. Ritz method is a useful approximate variational method can be used in the solution of the mentioned problem [47][48][49]. Also discrete singular convolution method [50][51][52][53] and finite element modelling [54] can be used as an approximate solution.…”

Section: Ritz Methodsmentioning

confidence: 99%

Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory

Arda

2020

International Journal of Engineering and Applied Sciences

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Buckling of axially loaded cantilever nanobeams with intermediate support have been studied in the current study. Higher order size dependent strain gradient theory has been utilized to capture the scale effect in nano dimension. Minimum total potential energy formulation has been used in modeling of nanobeam. Approximate Ritz method has been applied to the energy formulation for obtaining critical buckling loads. Position of the intermediate support has been varied and its effect on the critical buckling load has been investigated in the analysis. Mode shapes in critical buckling loads have been shown for various intermediate support positions. Present results could be useful in design of carbon nanotube resonators.

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“…Vibrations of functionally graded Rayleigh-Bishop nanorods were proposed by Arda [28]. By assuming that a nanorod is a carbon nanotube and applying the Ritz method, he studied the effects of lateral inertia and the material composition properties on the longitudinal vibrations of the carbon nanotube and demonstrated that boundary conditions have a significant effect on the dynamics of the functionally graded Rayleigh-Bishop nanorods.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the vibration behavior of nano piezoelectric rod using surface effects and non-local elasticity theory

et al. 2023

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Due to the importance of the analysis of piezoelectric nanorods and their different conditions in engineering problems, in this research, for the first time, both nonlocal elasticity theory and surface energy theory have been used simultaneously to model the piezoelectric nanorod. the natural frequency values of the system have been extracted using the Galerkin weighted residual method. By applying an external excitation voltage, the forced vibrations of nonlocal nanorods with surface effects are presented. the results are reported for different vibrational modes, and the impact of different parameters such as dimensions, nonlocal parameters, and surface effects are investigated. the results of this study prove that the nonlocal elastic theory is more effective than the surface energy theory on the vibration behavior of piezoelectric nanorods. Also, the effect of piezoelectric properties is enhanced by the nano scaling of the rods.

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Axial dynamics of functionally graded Rayleigh-Bishop nanorods

Cited by 27 publications

References 92 publications

Double piezoelectric defects in phononic crystals for ultrasonic transducers

Double piezoelectric defects in phononic crystals for ultrasonic transducers

Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory

Investigation of the vibration behavior of nano piezoelectric rod using surface effects and non-local elasticity theory

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