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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:
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
Bibliography: test
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