A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries. (15th April 2019)

• Record Type: Journal Article
• Authors: Liang, Xu; Zha, Xing; Jiang, Xue; Cao, Zeng; Wang, Yuhong; Leng, Jianxing
• Is Part Of: Ocean engineering. Volume 178(2019)
• Page Start: 145
• Page End: 155
• Publication Date: 2019-04-15
• Subjects: Time-history response -- Frequency parameter -- Differential quadrature method -- Durbin's inverse Laplace transform; Ocean engineering -- Periodicals; Ocean engineering; Periodicals; 620.4162
• DOI: 10.1016/j.oceaneng.2019.02.074
• Languages: English
• ISSNs: 0029-8018

Abstract

Abstract: The dynamic behavior of cylindrical shells with arbitrary boundaries is studied in this paper. Love's shell theory and Hamilton's principle are employed to derive the motion equations for cylindrical shells. A semi-analytical methodology, which incorporates Durbin's inverse Laplace transform, differential quadrature method and Fourier series expansion technique, is proposed to investigate this phenomenon. The use of the differential quadrature method provides a solution in terms of the axial direction whereas the use of Durbin's numerical inversion method generates a solution in the time domain. Comparison of calculated frequency parameters to that derived from the literature illustrates the effectiveness of the method. Specifically, convergence tests indicate that the present approach has a rapid convergence, the time-history response and the Navier's solution are in great agreement. Comparisons between time-history responses derived by two shell theories show that the results fit well with each other when the thickness-radius ratios are small enough. An analysis of the influences of boundaries on the time-history response of cylindrical shells indicates that the peak displacement is closely related to the degrees of freedom of boundaries. The influences of the length-radius ratios and the thickness-radius ratios on the peak displacement are further investigated. Highlights: A method is developed to analyze the dynamic behavior of cylindrical shells. The frequency parameters and time-history responses are presented in this paper. The method can deal with arbitrary boundaries. The validity of the results has been proved by comparing with Navier's solution.