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Frequency analysis of multiple layered cylindrical shells under lateral pressure with asymmetric boundary conditions

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Abstract

Natural frequency characteristics of a thin-walled multiple layered cylindrical shell under lateral pressure are studied. The multiple layered cylindrical shell configuration is formed by three layers of isotropic material where the inner and outer layers are stainless steel and the middle layer is aluminum. The multiple layered shell equations with lateral pressure are established based on Love’s shell theory. The governing equations of motion with lateral pressure are employed by using energy functional and applying the Ritz method. The boundary conditions represented by end conditions of the multiple layered cylindrical shell are simply supported-clamped(SS-C), free-clamped(F-C) and simply supported-free(SS-F). The influence of different lateral pressures, different thickness to radius ratios, different length to radius ratios and effect of the asymmetric boundary conditions on natural frequency characteristics are studied. It is shown that the lateral pressure has effect on the natural frequency of multiple layered cylindrical shell and causes the natural frequency to increase. The natural frequency of the developed multilayered cylindrical shell is validated by comparing with those in the literature. The proposed research provides an effective approach for vibration analysis shell structures subjected to lateral pressure with an energy method.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, UTM Johor Bahru, 81310, Johor, Malaysia

    Mohammad Reza Isvandzibaei, Hishamuddin Jamaluddin & Raja Ishak Raja Hamzah

Authors
  1. Mohammad Reza Isvandzibaei
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  2. Hishamuddin Jamaluddin
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  3. Raja Ishak Raja Hamzah
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Corresponding authors

Correspondence to Mohammad Reza Isvandzibaei or Raja Ishak Raja Hamzah.

Additional information

ISVANDZIBAEI Mohammad Reza, born in 1980, is currently a PhD candidate at Faculty of Mechanical Engineering, Universiti Teknologi Malaysia(UTM), Malaysia. He received his BS degree in mechanical engineering in 2003 and his MS degree in mechanical applied design in 2006. His research interests include smart materials and structures, composite material, FGM and vibration systems. His research has resulted in approximately 35 journal/conference publications.

JAMALUDDIN Hishamuddin, born in 1959, is currently a professor at Universiti Teknologi Malaysia(UTM), Malaysia. He received his B.Eng.(control engineering), M. Eng(control system) and PhD(control system) degrees from Sheffield University, UK in 1982, 1985 and 1991 respectively. His research interests include system identification, intelligent control system, vehicle dynamics and structural dynamics.

RAJA HAMZAH Raja Ishak, born in 1974, is currently a lecturer at Universiti Teknologi Malaysia(UTM), Malaysia. He received his PhD degree in mechanical engineering from the Cranfield University, UK in 2008. His research interests are in the area of machine and structural condition monitoring by employing vibration, acoustic emission, noise and few other techniques. He has published numbers of papers in journals, conferences and seminars in this research area.

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Isvandzibaei, M.R., Jamaluddin, H. & Raja Hamzah, R.I. Frequency analysis of multiple layered cylindrical shells under lateral pressure with asymmetric boundary conditions. Chin. J. Mech. Eng. 27, 23–31 (2014). https://doi.org/10.3901/CJME.2014.01.023

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  • DOI: https://doi.org/10.3901/CJME.2014.01.023

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