Analytical modeling of laminated composite rings on nonreciprocal elastic foundations under non-axisymmetric loading

Fuente: arXiv
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Auteurs principaux: Liu, Zhipeng, Ju, Jaehyung
Format: Preprint
Publié: 2025
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author Liu, Zhipeng
Ju, Jaehyung
author_facet Liu, Zhipeng
Ju, Jaehyung
contents A mechanical model of a laminated composite ring on a nonreciprocal elastic foundation is a valuable engineering tool during the early design stages of various applications, such as non-pneumatic wheels, flexible bearings, expandable tubulars in oil wells, and vascular stents interacting with blood vessel linings, especially under non-axisymmetric loadings. Despite its importance, limited research has focused on the interaction between laminated composite rings and nonreciprocal elastic foundations. Moreover, no quantitative studies have yet explored the influence of foundation stiffness on the ring deformation. This work aims to develop an analytical framework for a laminated composite ring supported by a nonreciprocal elastic foundation under non-axisymmetric loading conditions. The model generates a design map that correlates the foundation stiffness with the ring deformation, accounting for ring dimensions, laminate layup architecture, and lamina anisotropy. The closed-form solution provides an efficient design tool for analyzing non-axisymmetric and nonuniform loadings at a low computational cost. The resulting design map provides a valuable resource for exploring the interaction between the nonreciprocal foundation and the laminated ring. The proposed analytical framework and design map hold broad potential applications in automotive, mechanical, civil, and biomedical engineering fields.
format Preprint
id arxiv_https___arxiv_org_abs_2501_01815
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Analytical modeling of laminated composite rings on nonreciprocal elastic foundations under non-axisymmetric loading
Liu, Zhipeng
Ju, Jaehyung
Applied Physics
A mechanical model of a laminated composite ring on a nonreciprocal elastic foundation is a valuable engineering tool during the early design stages of various applications, such as non-pneumatic wheels, flexible bearings, expandable tubulars in oil wells, and vascular stents interacting with blood vessel linings, especially under non-axisymmetric loadings. Despite its importance, limited research has focused on the interaction between laminated composite rings and nonreciprocal elastic foundations. Moreover, no quantitative studies have yet explored the influence of foundation stiffness on the ring deformation. This work aims to develop an analytical framework for a laminated composite ring supported by a nonreciprocal elastic foundation under non-axisymmetric loading conditions. The model generates a design map that correlates the foundation stiffness with the ring deformation, accounting for ring dimensions, laminate layup architecture, and lamina anisotropy. The closed-form solution provides an efficient design tool for analyzing non-axisymmetric and nonuniform loadings at a low computational cost. The resulting design map provides a valuable resource for exploring the interaction between the nonreciprocal foundation and the laminated ring. The proposed analytical framework and design map hold broad potential applications in automotive, mechanical, civil, and biomedical engineering fields.
title Analytical modeling of laminated composite rings on nonreciprocal elastic foundations under non-axisymmetric loading
topic Applied Physics
url https://arxiv.org/abs/2501.01815