Vibration and damping analysis of functionally graded shells

In this study, dynamic behaviour of viscoelastic functionally graded shells under time-varying load is investigated. Displacement field is obtained by using higher order shear deformation theory. Equations of motion are obtained in Laplace domain by using the energy method. The equations of motion a...

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Bibliographic Details
Published in:Mechanics of time-dependent materials 2024-12, Vol.28 (4), p.2241-2264
Main Authors: Cuma, Yavuz Cetin, Özbey, Mehmet Bugra, Calim, Faruk Firat
Format: Article
Language:English
Subjects:
Algorithms
Characterization and Evaluation of Materials
Classical Mechanics
Deformation effects
Energy methods
Engineering
Equations of motion
Forced vibration
Functionally gradient materials
Polymer Sciences
Radius of curvature
Shear deformation
Solid Mechanics
Time domain analysis
Vibration analysis
Vibration damping
Viscoelasticity
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Summary:In this study, dynamic behaviour of viscoelastic functionally graded shells under time-varying load is investigated. Displacement field is obtained by using higher order shear deformation theory. Equations of motion are obtained in Laplace domain by using the energy method. The equations of motion are solved by the Navier’s method. Results are transferred to time domain by implementing Durbin’s inverse Laplace algorithm. A parametric study of the damped forced vibration of functionally graded shells considering the effects of shell geometry, rate of material variation, the principal radii of curvature, viscoelastic parameters is carried out. Damping behaviour is investigated via linear standard viscoelastic model. Accuracy of the results are verified by comparison with the literature results.
ISSN:1385-2000
1573-2738
DOI:10.1007/s11043-023-09621-z