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Engineering with Computers
Erschienen in: Engineering with Computers 4/2021

02.05.2020 | Original Article

Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties

verfasst von: Ali Shariati, Mostafa Habibi, Abdelouahed Tounsi, Hamed Safarpour, Maryam Safa

Erschienen in: Engineering with Computers | Ausgabe 4/2021

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Abstract

The stability analysis of cantilevered curved microtubules in axons regarding various size elements and using the generalized differential quadrature method for solving equations is reported. The impacts of covering MAP Tau proteins along with cytoplasm are taken into account as the elastic medium. Curved cylindrical nanoshell considering thick wall is used to model the microtubules. The factor of length scale (l/R = 0.2) used in modified couple stress theory would result in more accuracy when it comes to comparison with experiments, while alternative theories presented in this paper provide less precise outcomes. Due to the reported precise results, at the lower value of the time-dependent viscoelastic factor (\({\tau }_{s})\) by rising the size-dependent factor, the frequency response of the cantilever microtubule increases and this relation between the size-dependent parameter and the structure’s natural frequency is changed from direct to indirect for the higher amount of the time-based viscoelastic factor that scientists should attend to this matter when it comes to the microtubule. Furthermore, physical neighboring situations in a cell will be prominent in microtubules’ dynamic stability responses, such as membrane and cell-matrix. Since microtubules are likely to be applied as biosensors, this feature could be employed to disclose virulent tumors.
Vorheriger Artikel A computational approach for the space-time fractional advection–diffusion equation arising in contaminant transport through porous media
Nächster Artikel Computer software for analysis and design optimization of power transmission structures by simulated annealing and sensitivity analysis

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Metadaten
Titel
Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties
verfasst von
Ali Shariati
Mostafa Habibi
Abdelouahed Tounsi
Hamed Safarpour
Maryam Safa
Publikationsdatum
02.05.2020
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2021
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01024-9

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School-based optimization for performance-based optimum seismic design of steel frames

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