Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-20T00:01:33.217Z Has data issue: false hasContentIssue false

Transient Response of Functionally Graded Material Circular Cylindrical Shells with Magnetostrictive Layer

Published online by Cambridge University Press:  17 February 2016

C.-C. Hong*
Affiliation:
Department of Mechanical EngineeringHsiuping University of Science and TechnologyTaichung, Taiwan
*
*Corresponding author (cchong@mail.hust.edu.tw)
Get access

Abstract

The generalized differential quadrature (GDQ) method is used to investigate the transient response of magnetostrictive functionally graded material (FGM) circular cylindrical shells. The effects of control gain value, thermal load temperature and power-law index on transient responses of dominant normal displacement and thermal stress are analyzed. With velocity feedback and suitable product values of coil constant by control gain in the magnetostrictive FGM shells can reduce the transient amplitude of displacement into a smaller value.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Alibeigloo, A., Kani, A. M. and Pashaei, M. H., “Elasticity Solution for the Free Vibration Analysis of Functionally Graded Cylindrical Shell Bonded to Thin Piezoelectric Layers,” International Journal of Pressure Vessels and Piping, 89, pp. 98111 (2012).Google Scholar
2. Ootao, Y., Ishihara, M. and Noda, K., “Transient Thermal Stress Analysis of a Functionally Graded Magneto-Electro-Thermoelastic Strip Due to Nonuniform Surface Heating,” Theoretical and Applied Fracture Mechanics, 55, pp. 206212 (2011).Google Scholar
3. Sepiani, H. A., Rastgoo, A., Ebrahimi, F. and Ghorbanpour, A. A., “Vibration and Buckling Analysis of Two-Layered Functionally Graded Cylindrical Shell, Considering the Effects of Transverse Shear and Rotary Inertia,” Materials and Design, 31, pp. 10631069 (2010).Google Scholar
4. Zahedinejad, P., Malekzadeh, P., Farid, M. and Karami, G., “A Semi-Analytical Three-Dimensional Free Vibration Analysis of Functionally Graded Curved Panels,” International Journal of Pressure Vessels and Piping, 87, pp. 470480 (2010).Google Scholar
5. Yu, J. and Wu, B., “Circumferential Wave in Magneto-Electro-Elastic Functionally Graded Cylindrical Curved Plates,” European Journal of Mechanics—A/Solids, 28, pp. 560568 (2009).Google Scholar
6. Wang, X., Pan, E., Albrecht, J. D. and Feng, W. J., “Effective Properties of Multilayered Functionally Graded Multiferroic Composites,” Composite Structures, 87, pp. 206214 (2009).Google Scholar
7. Qatu, M. S., Sullivan, R. W. and Wang, W., “Recent Research Advances on the Dynamic Analysis of Composite Shells: 2000–2009,” Composite Structures, 93, pp. 1431 (2010).Google Scholar
8. Han, X., Liu, G. R., Xi, Z. C. and Lam, K. Y., “Transient Waves in a Functionally Graded Cylinder,” International Journal of Solids and Structures, 38, pp. 30213037 (2001).Google Scholar
9. Han, X., Liu, G. R., Xi, Z. C. and Lam, K. Y., “Characteristics of Waves in a Functionally Graded Cylinder,” International Journal for Numerical Methods in Engineering, 53, pp. 653676 (2002).Google Scholar
10. Han, X. and Liu, G. R., “Elastic Waves in a Functionally Graded Piezoelectric Cylinder,” Swart Materials & Structures, 12, pp. 962971 (2003).CrossRefGoogle Scholar
11. Han, X., Xu, D. and Liu, G. R., “A Computational Inverse Technique for Material Characterization of a Functionally Graded Cylinder Using a Progressive Neural Network,” Neurocomputing, 51, pp. 341360 (2003).Google Scholar
12. Qian, W., Liu, G. R., Chun, L. and Lam, K. Y., “Active Vibration Control of Composite Laminated Cylindrical Shells Via Surface-Bonded Magnetostrictive Layers,” Swart Materials & Structures, 12, pp. 889897 (2003).CrossRefGoogle Scholar
13. Wu, T. Y. and Liu, G. R., “A Differential Quadrature as a Numerical Method to Solve Differential Equations,” Computational Mechanics, 24, pp. 197205 (1999).CrossRefGoogle Scholar
14. Wu, T. Y. and Liu, G. R., “The Generalized Differential Quadrature Rule for Fourth-Order Differential Equations,” International Journal for Numerical Methods in Engineering, 50, pp. 19071929 (2001).Google Scholar
15. Wu, T. Y. and Liu, G. R., “Application of Generalized Differential Quadrature Rule to Sixth-Order Differential Equations,” Communications in Numerical Methods in Engineering, 16, pp. 777784 (2000).Google Scholar
16. Wu, T. Y. and Liu, G. R., “Axisymmetric Bending Solution of Shells of Revolution by the Generalized Differential Quadrature Rule,” International Journal of Pressure Vessels and Piping, 77, pp. 149157 (2000).CrossRefGoogle Scholar
17. Liu, G. R. and Wu, T. Y., “Differential Quadrature Solutions of Eighth-Order Boundary-Value Differential Equations,” Journal of Computational and Applied Mathematics, 145, pp. 223235 (2002).CrossRefGoogle Scholar
18. Liu, G. R. and Wu, T. Y., “Multipoint Boundary Value Problems by Differential Quadrature Method,” Mathematical and Computer Modelling, 35, pp. 215227 (2002).Google Scholar
19. Wu, T. Y., Wang, Y. Y. and Liu, G. R., “A Generalized Differential Quadrature Rule for Bending Analysis of Cylindrical Barrel Shells,” Computer Methods in Applied Mechanics and Engineering, 192, pp. 16291647 (2003).Google Scholar
20. Hong, C. C., “Varied Effects of Shear Correction on Thermal Vibration of Functionally Graded Material Shells,” Cogent Engineering, 1:938430, pp. 116 (2014).Google Scholar
21. Hong, C. C., “Rapid Heating Induced Vibration of Magnetostrictive Functionally Graded Material Plates,” Transactions of the ASME, Vibration and Acoustics, 134, pp. 021019-1–021019-11 (2012).Google Scholar
22. Hong, C. C., “Computational Approach of Piezoelectric Shells by the GDQ Method,” Composite Structures, 92, pp. 811816 (2010).CrossRefGoogle Scholar
23. Hong, C. C., “Rapid Heating Induced Vibration of a Laminated Shell with the GDQ Method,” The Open Mechanics Journal, 3, pp. 15 (2009).Google Scholar
24. Shariyat, M., “Dynamic Buckling of Suddenly Loaded Imperfect Hybrid FGM Cylindrical Shells with Temperature Dependent Material Properties Under Thermo-Electromechanical Loads,” International Journal of Mechanical Sciences, 50, pp. 15611571 (2008).Google Scholar
25. Lee, S. J., Reddy, J. N. and Rostam-Abadi, F., “Nonlinear Finite Element Analysis of Laminated Composite Shells with Actuating Layers,” Finite Elements in Analysis and Design, 43, pp. 121 (2006).Google Scholar
26. Shen, H. S., “Nonlinear Thermal Bending Response of FGM Plates Due to Heat Condition,” Composites PartB: Engineering, 38, pp. 201215 (2007).Google Scholar
27. Hong, C. C., Liao, H. W., Lee, L. T., Ke, J. B. and Jane, K. C., “Thermally Induced Vibration of a Thermal Sleeve with the GDQ Method,” International Journal of Mechanical Sciences, 47, pp. 17891806 (2005).CrossRefGoogle Scholar
28. Shu, C. and Du, H., “Implementation of Clamped and Simply Supported Boundary Conditions in the GDQ Free Vibration Analyses of Beams And Plates,” International Journal of Solids and Structures, 34, pp. 819835 (1997).CrossRefGoogle Scholar
29. Hong, C. C., “Thermal Vibration of Magnetostrictive Functionally Graded Material Shells,” European Journal of Mechanics—A/Solids, 40, pp. 114122 (2013).CrossRefGoogle Scholar