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- Title
Cell dynamics and natural frequencies: scaling and shape matters.
- Authors
C. V., Chandrashekara; Mubeen, Ayman Ahmed; R., Arun Barathwaj; Basavaraju, Amith; Kateel, M. C. Srividyadhare
- Abstract
Cell dynamics is one of the most investigated areas under the field of biomechanics. Scaling plays a crucial role in determining the dynamic characteristics of biological systems. In the present investigation, cuboidal and cylindrical models of different scales are analysed to depict the dependence of natural frequency on the scaling factors. Three approaches, namely lumped mass system, finite element model (FEM) and numerical approach using Ansys are used to determine the fundamental natural frequencies. Different scaling factors, namely nano, micro (original size), millimeter and meter are considered for the analysis. The results indicate that the natural frequency varies inversely with the size of the cell by the same factor. A simple mathematical relation is derived to support this claim. Results are illustrated with numerical examples and corresponding mode shapes are reported.
- Subjects
MODE shapes; BIOLOGICAL systems; CELL size; CELLS
- Publication
Vibroengineering Procedia, 2019, Vol 27, p73
- ISSN
2345-0533
- Publication type
Article
- DOI
10.21595/vp.2019.20981