Mass inertia of the distributed attached mass decreased the natural frequencies of the system, while the stiffness effect increased these values.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, free vibrations of thick composite cylindrical and spherical shell panels with uniformly distributed attached masses were analyzed, using the standard Galerkin procedure.
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Key Findings & Data:The stiffness effect of the distributed attached mass was taken into account for the first time, and the results were compared with well-known published results for which this effect was not considered.
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Conclusion & Impact:Mass inertia of the distributed attached mass decreased the natural frequencies of the system, while the stiffness effect increased these values.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, free vibrations of thick composite cylindrical and spherical shell panels with uniformly distributed attached masses were analyzed, using the standard Galerkin procedure. The stiffness effect of the distributed attached mass was taken into account for the first time, and the results were compared with well-known published results for which this effect was not considered. Various results for effects such as thickness, radii of curvature, and elasticity moduli are presented in this paper. Mass inertia of the distributed attached mass decreased the natural frequencies of the system, while the stiffness effect increased these values.
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Cite This Article
KHALILI, S. M. R., TAFAZOLI, S., MALEKZADEH, K., MITTAL, R. K. (2010). Geometrical effects of distributed attached mass on the natural frequency of thick cylindrical and spherical shells using higher-order theory. Turkish Journal of Engineering and Environmental Sciences, Cilt: 34 - Sayı: 3, 189–199. https://ajindex.com/articles/371128
Chan, K.T., Wang, X.Q. and Leung, T.P., “Free Vibration of Beams with Two Sections of Distributed Mass”, Journal of Vibration and Acoustics, 120, 944-948, 1998.
Garg, A.K., Khare, R.K. and Kant, T., “Higher-Order Closed-Form Solutions for Free Vibration of Laminated Com- posite and Sandwich Shells”, Journal of Sandwich Structures and Materials, 8, 205, 2006.
Gorman, D.J. and Singal, R.K., “Analytical and Experimental Study of Vibrating Rectangular Plates on Rigid Point Supports”, American Institute of Aeronautics and Astronautics, Inc., 1990.
Khalili, S.M.R., Azarafza, R. and Davar, A., “Transient Dynamic Response of Initially Stressed Composite Circular Cylindrical Shells under Radial Impulse Load”, Journal of Composite Structure, doi:10.1016/j.compstruct.2008.08.002, 2008.
Kopmaz, O. and Telli, S., “Free Vibration of a Rectangular Plate Carrying Distributed Mass”, Journal of Sound Vibration, 251, 39-57, 2002.
Rahmani, O., Khalili, S.M.R. and Malekzadeh K., “Free Vibration Response of Composite Sandwich Cylindrical Shell with Flexible Core”, Journal of Composite Structure, doi:10.1016/j.compstruct.2009.10.021, 2009.
Reddy, J.N., “A Simple Higher-Order Theory for Laminated Composites”, ASME Journal of Applied Mechanics, 51, 745-752, 1984.
Reddy, J.N., “Energy Principles and Variational Methods in Applied Mechanics”, 2nd edition, John Wiley and Sons, 2002.
Reddy, J.N., “Mechanics of Laminated Composite Plates and Shells”, 2nd edition, CRC Press, 2004.
Rossi, R.E. and Laura, P.A.A., “Symmetric and Antisymmetric Normal Modes of a Cantilever Rectangular Plate: Effect of Poisson’s Ratio and a Concentrated Mass”, Journal of Sound and Vibration, 195, 142-148, 1996.
Wong, W.O., “The Effect of Distributed Mass Loading on Plate Vibration Behavior”, Journal of Sound and Vibration, 252, 577-583, 2002.