The application of second-order approximation of Taylor series in thickness shear vibration analysis of quartz crystal microbalances

Jin, Feng; Sun, Qindong; Ma, Jianxun

doi:10.1016/j.ultras.2014.12.007

Cited by 5 publications

(2 citation statements)

References 23 publications

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“…The interactions between factors in all the equations displayed above were of second-order, and higher-order interactions equations were of less significance than the presented model; this finding runs in to agree with that of Taylor’s series assumption [ 40 ].…”

Section: Resultsmentioning

confidence: 56%

Computational Investigation to Design Ofloxacin-Loaded Hybridized Nanocellulose/Lipid Nanogels for Accelerated Skin Repair

AbouSamra

Hoffy

El-Wakil

et al. 2022

Gels

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The pharmaceutical application of biomaterials has attained a great success. Rapid wound healing is an important goal for many researchers. Hence, this work deals with the development of nanocellulose crystals/lipid nanogels loaded with ofloxacin (OFX) to promote skin repair while inhibiting bacterial infection. Ofloxacin-loaded hybridized nanocellulose/lipid nanogels (OFX-HNCNs) were prepared and evaluated adopting a computational method based on regression analysis. The optimized nanogels (OFX-HNCN7) showed a spherical outline with an encapsulation efficiency (EE), particle size (PS) and zeta potential (ZP) values of 97.53 ± 1.56%, 200.2 ± 6.74 nm and −26.4 ± 0.50 mV, respectively, with an extended drug release profile. DSC examination of OFX-HNCN7 proved the amorphization of the encapsulated drug into the prepared OFX-HNCNs. Microbiological studies showed the prolonged inhibition of bacterial growth by OFX-HNCN7 compared to the free drug. The cytocompatibility of OFX-HNCN7 was proved by Sulforhodamine B assay. Tissue repair was evaluated using the epidermal scratch assay based on cell migration in human skin fibroblast cell line, and the results depicted that cell treated with OFX-HNCN7 showed a faster and more efficient healing compared to the control. In overall, the obtained findings emphasize the benefits of using the eco-friendly bioactive nanocellulose, hybridized with lipid, to prepare a nanocarrier for skin repair.

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Section: Resultsmentioning

confidence: 56%

Computational Investigation to Design Ofloxacin-Loaded Hybridized Nanocellulose/Lipid Nanogels for Accelerated Skin Repair

AbouSamra

Hoffy

El-Wakil

et al. 2022

Gels

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“…If h(x 3 ) is a slowly varying function, the first-order approximation of Taylor series can be used for simplification, i.e. sin nπx2 2h(x3) ≈ nπx2 2h(x3) and cos nπx2 2h(x3) ≈ 1 [30]. On the basis of u (n) (x 3 , t) = U(x 3 )exp(iωt), equation ( 2) can be further reduced as…”

Section: The Establishment Of Theoretical Model and The Power Series ...mentioning

confidence: 99%

The investigation of trapped thickness shear modes in a contoured AT-cut quartz plate using the power series expansion technique

Jin

2017

J. Phys. D: Appl. Phys.

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The dynamic model about the anti-plane vibration of a contoured quartz plate with thickness changing continuously is established by ignoring the effect of small elastic constant c56. The governing equation is solved using the power series expansion technique, and the trapped thickness shear modes caused by bulge thickness are revealed. Theoretically, the proposed method is more general, which can be capable of handling various thickness profiles defined mathematically. After the convergence of the series is demonstrated and the correctness is numerically validated with the aid of finite element method results, systematic parametric studies are subsequently carried out to quantify the effects of the geometry parameter upon the trapped modes, including resonant frequency and mode shape. After that, the band structures of thickness shear waves propagation in a periodically contoured quartz plate, as well as the power transmission spectra, are obtained based on the power series expansion technique. It is revealed that broad stop bands below cut-off frequency exist owing to the trapped modes excited by the geometry inhomogeneity, which has little relationship with the structural periodicity, and its physical mechanism is different from the Bragg scattering effect. The outcome is widely applicable, and can be utilized to provide theoretical and practical guidance for the design and manufacturing of quartz resonators and wave filters.

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Biomass transport cost from field to conversion facility when biomass yield density and road network vary with transport radius

Golecha

Gan

2016

Applied Energy

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The application of second-order approximation of Taylor series in thickness shear vibration analysis of quartz crystal microbalances

Cited by 5 publications

References 23 publications

Computational Investigation to Design Ofloxacin-Loaded Hybridized Nanocellulose/Lipid Nanogels for Accelerated Skin Repair

Computational Investigation to Design Ofloxacin-Loaded Hybridized Nanocellulose/Lipid Nanogels for Accelerated Skin Repair

The investigation of trapped thickness shear modes in a contoured AT-cut quartz plate using the power series expansion technique

Biomass transport cost from field to conversion facility when biomass yield density and road network vary with transport radius

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