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An analytical solution for nonlinear dynamic response and vibration of FG‐CNT reinforced nanocomposite elliptical cylindrical shells resting on elastic foundations

Ngo Dinh Dat

NTT Institute of High Technology, Nguyen Tat Thanh University, Disctric 4, Ho Chi Minh City, Vietnam

Infrastructure Engineering Program –VNU Hanoi, Vietnam‐Japan University (VJU), My Dinh 1, Tu Liem Disctric, Hanoi, Vietnam

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Nguyen Dinh Khoa

Advanced Materials and Structures Laboratory, VNU Hanoi ‐ University of Engineering and Technology (UET), 144 – Xuan Thuy, Cau Giay Disctric, Hanoi, Vietnam

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Pham Dinh Nguyen

Advanced Materials and Structures Laboratory, VNU Hanoi ‐ University of Engineering and Technology (UET), 144 – Xuan Thuy, Cau Giay Disctric, Hanoi, Vietnam

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Nguyen Dinh Duc

Corresponding Author

E-mail address: ducnd@vnu.edu.vn

Infrastructure Engineering Program –VNU Hanoi, Vietnam‐Japan University (VJU), My Dinh 1, Tu Liem Disctric, Hanoi, Vietnam

Advanced Materials and Structures Laboratory, VNU Hanoi ‐ University of Engineering and Technology (UET), 144 – Xuan Thuy, Cau Giay Disctric, Hanoi, Vietnam

Department of Civil and Environmental Engineering, Sejong University, 98 Gunja Dong, Gwangjin Gu, Seoul, 143–747 South Korea

Correspondence

Nguyen Dinh Duc, Infrastructure Engineering Program –VNU Hanoi, Vietnam‐Japan University (VJU), My Dinh 1, Tu Liem Disctric, Hanoi, Vietnam.

Email: ducnd@vnu.edu.vn

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First published: 03 September 2019

Abstract

The present study deals with the nonlinear dynamic response and vibration of functionally graded carbon nanotubes (FG‐CNT) reinforced composite elliptical cylindrical shells resting on elastic foundations in thermal environments using an analytical solution. The nanocomposite elliptical cylindrical shells are reinforced by single‐walled carbon nanotubes. Based on the classical shell theory with the geometrical nonlinearity in von Kármán and the nonlinear dynamic response and vibration results are obtained by using the Airy stress function, Galerkin method, and Runge‐Kutta method. In numerical results, the effect of geometrical parameters, initial geometric imperfection, Winkler and Pasternak elastic foundations and volume fractions and types of distribution of CNTs on the nonlinear dynamic response and vibration of FG‐CNT reinforced composite elliptical cylindrical shells are investigated.

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