Bending analysis of composite multilayer doubly-curved shells based on layer-wise theory and using double power series analytical method

Document Type : Research Article

Authors

1 Department of Mechanical Engineering. University of Mazandaran

2 Department of Mechanical Engineering, University of Mazandaran, Babolsar

Abstract

The purpose of this study is to develop and apply the analytical method based on a double power series solution for the analysis of shells. For the first time, composite multilayer doubly curved shells have been analyzed and investigated based on this method. In order to achieve more accurate results for analyses of multilayer structures, it is necessary to use specific theories of multilayer structures. In this study, the Layer-Wise theory has been used to extract the governing differential equations and by using this theory, it is possible to apply the properties of each layer independently. Based on the Layer-Wise theory and using the principle of minimum total potential energy, the governing differential equations of composite multilayer doubly curved shells were extracted as a set of 9 second-order differential equations, and then the double power series solution is used for the first time to solve these equations is developed. To demonstrate the efficiency and accuracy of the presented analysis process, the obtained results have been compared with the results of other studies. The comparison of the results reveals that the presented process for the analysis of composite multilayer doubly curved shells has good agreement with those obtained by other studies Since the studies carried out for the analytical solution of these structures are very limited, the presented method can be used for the analysis of them.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 56, Issue 8
2024
Pages 1075-1098

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