Saeid Sahmani
Size-dependent nonlinear secondary resonance of micro-/nano-beams made of nano-porous biomaterials including truncated cube cells
Sahmani, Saeid; Fotouhi, Mohamad; Aghdam, Mohammad Mohammadi
Authors
Mohammad Fotouhi Mohammad.Fotouhi@uwe.ac.uk
Lecturer in Aerospace Structures
Mohammad Mohammadi Aghdam
Abstract
© 2018, Springer-Verlag GmbH Austria, part of Springer Nature. Porous biomaterials have been utilized in cellular structures in order to mimic the function of bone as a branch of tissue engineering approach. With the aid of nano-porous biomaterials in which the pore size is at nanoscale, the capability of biological molecular isolation becomes more efficient. In the present study, first the mechanical properties of nano-porous biomaterials are estimated on the basis of a truncated cube cell model including a refined hyperbolic shear deformation for the associated lattice structure. After that, based upon a nonlocal strain gradient beam model, the size-dependent nonlinear secondary resonance of micro-/nano-beams made of the nano-porous biomaterial is predicted corresponding to both subharmonic and superharmonic excitations. The nonclassical governing differential equation of motion is constructed via Hamilton’s principle. By employing the Galerkin technique together with the multiple-timescale method, the nonlocal strain gradient frequency response and amplitude response of the nonlinear oscillation of micro-/nano-beams made of a nano-porous biomaterial under hard excitation are achieved. It is shown that in the superharmonic case, increasing the pore size leads to an enhancement of the nonlinear hardening spring-type behavior of the jump phenomenon and the height of limit point bifurcations. In the subharmonic case, higher pore size causes an increase in the gap between two branches associated with the high-frequency and low-frequency solutions.
Citation
Sahmani, S., Fotouhi, M., & Aghdam, M. M. (2019). Size-dependent nonlinear secondary resonance of micro-/nano-beams made of nano-porous biomaterials including truncated cube cells. Acta Mechanica, 230(3), 1077-1103. https://doi.org/10.1007/s00707-018-2334-9
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 22, 2018 |
Online Publication Date | Dec 27, 2018 |
Publication Date | Mar 5, 2019 |
Deposit Date | Nov 26, 2018 |
Publicly Available Date | Mar 29, 2024 |
Journal | Acta Mechanica |
Print ISSN | 0001-5970 |
Publisher | Springer (part of Springer Nature) |
Peer Reviewed | Peer Reviewed |
Volume | 230 |
Issue | 3 |
Pages | 1077-1103 |
DOI | https://doi.org/10.1007/s00707-018-2334-9 |
Keywords | nano-biomechanics, porosity, nonlinear oscillation, size dependency, nonlocal strain gradient theory |
Public URL | https://uwe-repository.worktribe.com/output/849880 |
Publisher URL | https://doi.org/10.1007/s00707-018-2334-9 |
Additional Information | Additional Information : The final publication is available at Springer via https://doi.org/10.1007/s00707-018-2334-9 |
Files
Forced-Secondary-Bio (REVISED).docx
(399 Kb)
Document
Forced-Secondary-Bio %28REVISED%29.pdf
(1.3 Mb)
PDF
You might also like
One-shot 3D printed underactuated gripper
(2020)
Conference Proceeding
Fatigue behaviour of un-notched and open-hole quasi-isotropic pseudo-ductile thin-ply carbon/glass hybrid laminates
(2019)
Presentation / Conference
Investigation of the hybrid effect in high performance quasi-isotropic thin-ply carbon/glass composites under tension
(2019)
Presentation / Conference
Achieving gradual failure in hybrid composite laminates- progressing from tension to beding
(2019)
Presentation / Conference
Downloadable Citations
About UWE Bristol Research Repository
Administrator e-mail: repository@uwe.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search