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A theoretical investigation on the thermal response of laminated cylindrical panel

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Abstract

This paper presents a theoretical investigation on the temperature and thermal stress distributions developed in simply supported laminated open cylindrical panels subjected to thermal load. Cylindrical panels were divided into several thin layers, where the radial variable r in heat conduction equation and elasticity equations was approximately replaced by the center coordinate of each layer. The analytical expressions in terms of temperature, displacements and stresses can be then deduced in a thin layer. Transfer matrix method was used to recursively generate the relations of temperature, displacements and stresses between outermost and innermost surface for the laminated panel. The panel surface condition was thereafter used to determine the coefficients in the solutions. These coefficients were substituted in solutions for each thin layer to obtain the distributions of temperature, displacements and stresses in the panel. The number of the terms of series was used to check the solution convergence. The validity and feasibility of the proposed method were verified by comparing the theoretical results with the numerical results from the finite element method. The effects of surface temperatures, panel thickness, number of laminated layers and material properties were detailed and investigated with respect to the temperature, displacement and stresses distributions in the panel.

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Acknowledgements

This work was financially supported by the Basic Research Program of Jiangsu Province (Grant No. BK20160519), the Research Foundation for Advanced Talents of Jiangsu University (Grant No. 16JDG053) and the Joint Open Fund of Jiangsu Collaborative Innovation Center for Ecological Building Material and Environmental Protection Equipment and Key Laboratory for Advanced Technology in Environmental Protection of Jiangsu Province (Grant No. JH201839). All of these supports are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Civil Engineering, Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang, 212013, China

    Hai Qian, Jie Yin & Yuexiang Qiu

  2. College of Civil Engineering, Nanjing Tech University, Nanjing, 210009, China

    Ding Zhou

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  1. Hai Qian
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  2. Ding Zhou
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  3. Jie Yin
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  4. Yuexiang Qiu
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Correspondence to Hai Qian or Jie Yin.

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Qian, H., Zhou, D., Yin, J. et al. A theoretical investigation on the thermal response of laminated cylindrical panel. Arch Appl Mech 90, 475–493 (2020). https://doi.org/10.1007/s00419-019-01621-1

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