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Sensitivity analysis of free torsional vibration frequencies of thin-walled laminated beams under axial load
Abstract
The paper addresses sensitivity analysis of free torsional vibration frequencies of thin-walled beams of bisymmetric open cross-section made of unidirectional fibre-reinforced laminate. The warping effect and the axial end load are taken into account. The consideration is based upon the classical theory of thin-walled beams of non-deformable cross-section. The first-order sensitivity variation of the frequencies is derived with respect to the design variable variations. The beam cross-sectional dimensions and the material properties are assumed the design variables undergoing variations. The paper includes a numerical example related to simply supported I-beams and the distributions of sensitivity functions of frequencies along the beam axis. Accuracy is discussed of the first-order sensitivity analysis in the assessment of frequency changes due to the fibre volume fraction variable variations, the effect of axial loads is discussed too.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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CONTINUUM MECHANICS AND THERMODYNAMICS
pages 1 - 12,
ISSN: 0935-1175 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Szymczak C., Kujawa M.: Sensitivity analysis of free torsional vibration frequencies of thin-walled laminated beams under axial load// CONTINUUM MECHANICS AND THERMODYNAMICS -, (2019), s.1-12
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00161-019-00847-2
- Verified by:
- Gdańsk University of Technology
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