Approximate resolving equations of mathematical model of a curved thin-walled cylinder

作者：

Highlights：

• New mathematical model of a curved pipeline as a shell.

• A technique for reducing a 3-D model to a one-dimensional model.

• The boundaries of the parameters range of applicability of the one-dimensional model.

• High accuracy solution of the original problem using one-dimensional model.

摘要

•New mathematical model of a curved pipeline as a shell.•A technique for reducing a 3-D model to a one-dimensional model.•The boundaries of the parameters range of applicability of the one-dimensional model.•High accuracy solution of the original problem using one-dimensional model.

论文关键词：Bent thin-walled cylinder,Shell theory,Asymptotic series,Numerical experiment

论文评审过程：Received 18 February 2021, Revised 7 January 2022, Accepted 17 January 2022, Available online 30 January 2022, Version of Record 30 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126961