Projects per year
Abstract
A strain and velocity gradient framework is formulated for centrosymmetric anisotropic Euler-Bernoulli and third-order shear-deformable (TSD) beam models, reducible to Timoshenko beams. The governing equations and boundary conditions are obtained by using variational approach. The strain energy is generalized to include strain gradients and the tensor of anisotropic static length scale parameters. The kinetic energy includes velocity gradients and a tensor of anisotropic length scale parameters and hence the static and kinetic quantities of centrosymmetric anisotropic materials are distinguished in micro- and macroscales. Furthermore, the external work is written in the corresponding general form. Free vibration of simply supported centrosymmetric anisotropic TSD beams is studied by using analytical solution as well as an isogeometric numerical method verified with respect to convergence.
Original language | English |
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Pages (from-to) | 113-123 |
Number of pages | 11 |
Journal | European Journal of Mechanics A: Solids |
Volume | 69 |
DOIs | |
Publication status | Published - 1 May 2018 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Anisotropic strain and velocity gradient
- Shear-deformable beam
- Centrosymmetric
- Isogeometric analysis
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Dive into the research topics of 'Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear deformable beams'. Together they form a unique fingerprint.Projects
- 3 Finished
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Isogeometric adaptive methods for thin-walled structures– with applications from architectural and industrial design in structural and mechanical engineering
Niiranen, J. (Principal investigator), Khakalo, S. (Project Member), Shahzad, S. (Project Member), Balobanov, V. (Project Member) & Nguyen, T. (Project Member)
01/09/2016 → 31/08/2018
Project: Academy of Finland: Other research funding
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Isogeometric adaptive methods for thin-walled structures- with applications from architectural and industrial design in structural and mechanical engineering
Niiranen, J. (Principal investigator)
01/09/2013 → 31/08/2018
Project: Academy of Finland: Other research funding
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Isogeometric adaptive methods for thin-walled structures – with applications from architectural and industrial design in structural and mechanical engineering
Balobanov, V. (Project Member), Niiranen, J. (Principal investigator) & Khakalo, S. (Project Member)
01/09/2013 → 31/08/2016
Project: Academy of Finland: Other research funding