Vibration response of perforated thick beam under moving load

Assie, Amr E.; Akbaş, Şeref Doğuşcan; Bashiri, Abdullateef H.; Abdelrahman, Alaa A.; Eltaher, Mohamed A.

doi:10.1140/epjp/s13360-021-01224-2

Cited by 14 publications

(10 citation statements)

References 65 publications

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“…Also, the consideration of distributed adatoms with an important value of the distribution density η increases the shift in frequency for both mode 1 (figures 7(a), (b)) and mode 2 (figures 7(c), (d)) examples. In addition, the decrease of the distance between two spikes d s leads to augment the shift value for each of EBM case and TBM case in line with that mentioned in references [40,46].…”

Section: Influence Of Localizedproteinssupporting

confidence: 84%

“…Indeed, the effect of shear distortion and rotary inertia are considered when (1 + v?1/2) [46] and (EI * /L 2 AG?1) [29,45] respectively in conformity with the applied nanomaterial parameters that confirms the decrease in the vibration frequency shift by shear distortion and rotary inertia as cited in reference [15]. The calculated shift for the Mode 1 case (figures 4(a)-(b)) is significantly smaller compared to that calculated for the Mode 2 case (figures 4(c)-(d)), attributed to the relationship between the total mass of H adatoms and the mode number.…”

Section: Influence Of Distributed Adatomsmentioning

confidence: 99%

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Theoretical prediction of proteins network-induced nonlocal response in molecules-resonator biosensor with hydrogen bonds including van der waals interactions

Bourouina,

Boussendel

2024

Phys. Scr.

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This study investigates the dynamic behavior of a biomolecule-resonator system including the shear distortion effect as well as adsorption energy and small scale effects. The nano-object network-induced energy is determined using a distributional approach for both bio-receptor and spike protein where vibration energy model for functional microbeam is derived including surface stress effect. The functional microbeam approach and the localized bio-object approach are applied in conjunction with the van der Waals (vdW) interaction mechanism using Lennard-Jones (6-12) potential to compute the total influence of contributed conditions. Both explicit inertia moment and shear force are developed from the nonlocal Timoshenko beam equations which the residual stress effect is considered as an additive load. Numerical results showed that the computed frequency shift is depended on each of the active surface, localized biomolecules and adsorbed adatoms. Computation indicates that the receptor and spike network should be considered and thus derived model for biosensor micostructure is suitable to investigate the dynamic behavior of the biomolecule-resonator system that can be applied for biosensing technology applications.

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Section: Influence Of Localizedproteinssupporting

confidence: 84%

Section: Influence Of Distributed Adatomsmentioning

confidence: 99%

Theoretical prediction of proteins network-induced nonlocal response in molecules-resonator biosensor with hydrogen bonds including van der waals interactions

Bourouina,

Boussendel

2024

Phys. Scr.

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“…The efficacy of broadband low-frequency sound absorption through graduated perforated porous materials backed by Helmholtz resonant cavities was examined by Liu et al [18]. There are also articles in the literature in which vibration analyses and calculations were made using perforated materials [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Response of a Steel Liquid Storage Tank with Porous and Perforated Columns via an Exact Continuum Method

KÜPELİ

ÇAVUŞ

Uzun

et al. 2023

Gazi University Journal of Science

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Presence of predictable cavities inside the structure is often preferable as it will reduce the vibration amplitude. Inspired by the traditional mass attached to the beam system, in order to solve the problem of free vibration of the steel liquid storage tank with a column made of porosity material and perforated material using an exact analytical continuum model to replace the lumped mass system. The free vibration response of the column under porosities and holes with an attached mass is established by using a new analytical method known as Fourier series with Stokes’ transform. The free vibration frequencies are obtained by using an eigen-value approximation, and the influence of number of holes, filling ratio, porosity effect and other parameters on the free vibration response is explored. It is shown that an increase in the mass parameter, filling ratio and porosity parameter of the column with an attached mass system could significantly affect the free vibration of response of the system.

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“…For this purpose, Euler-Bernoulli (EB) and Timoshenko beam theories have been considered and also, the rotary inertia effect has been investigated in the study [5]. Assie et al [6] have examined the vibration response of a perforated Timoshenko beam affected by a moving load by using the Ritz method. Also in the study, the authors have adopted the Newmark average acceleration method to obtain the time response.…”

Section: Introductionmentioning

confidence: 99%

Bending Analysis of a Perforated Microbeam With Laplace Transform

UZUN,

YAYLI

2023

Konya Journal of Engineering Sciences

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In recent years, the analysis of materials and elements with dimensions at nano/micro levels has gained momentum. While analyzing these small-scale materials and elements, higher-order elasticity theories have started to be used instead of classical elasticity theories (CETs). One of these theories, which includes a small-scale parameter in its constitutive equations, is the modified couple stress theory (MCST). In this study, the bending analysis of a cantilever perforated microbeam is investigated by MCST and Euler-Bernoulli (EB) beam theory. First, the perforation characteristics of the microbeam are described and incorporated into the equation governing the bending problem based on the modified couple stress theory found in the literature. Then, the Laplace transform is applied to the governing equation. The known boundary conditions of the cantilever microbeam are substituted into the equation and the inverse Laplace transform is applied to obtain the deflection equation.

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Vibration response of perforated thick beam under moving load

Cited by 14 publications

References 65 publications

Theoretical prediction of proteins network-induced nonlocal response in molecules-resonator biosensor with hydrogen bonds including van der waals interactions

Theoretical prediction of proteins network-induced nonlocal response in molecules-resonator biosensor with hydrogen bonds including van der waals interactions

Free Vibration Response of a Steel Liquid Storage Tank with Porous and Perforated Columns via an Exact Continuum Method

Bending Analysis of a Perforated Microbeam With Laplace Transform

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