Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 88, Number 5, December10 2023 , pages 439-449 DOI: https://doi.org/10.12989/sem.2023.88.5.439 |
|
|
|
Investigation of nonlinear free vibration of FG-CNTRC cylindrical panels resting on elastic foundation |
||
J.R. Cho
|
||
| Abstract | ||
| Non-linear vibration characteristics of functionally graded CNT-reinforced composite (FG-CNTRC) cylindrical shell panel on elastic foundation have not been sufficiently examined. In this situation, this study aims at the profound numerical investigation of the non-linear vibration response of FG-CNTRC cylindrical panels on Winkler-Pasternak foundation by introducing an accurate and effective 2-D meshfree-based non-linear numerical method. The large-amplitude free vibration problem is formulated according to the first-order shear deformation theory (FSDT) with the von Kármán non-linearity, and it is approximated by Laplace interpolation functions in 2-D natural element method (NEM) and a non-linear partial derivative operator HNL. The complex and painstaking numerical derivation on the curved surface and the crucial shear locking are overcome by adopting the geometry transformation and the MITC3+ shell elements. The derived nonlinear modal equations are iteratively solved by introducing a three-step iterative solving technique which is combined with Lanczos transformation and Jacobi iteration. The developed non-linear numerical method is estimated through the benchmark test, and the effects of foundation stiffness, CNT volume fraction and functionally graded pattern, panel dimensions and boundary condition on the non-linear vibration of FG-CNTRC cylindrical panels on elastic foundation are parametrically investigated. | ||
| Key Words | ||
| cylindrical shell panels; FG-CNTRC; MITC3+ shell element; non-linear free vibration; three-step iterative scheme; von Kármán non-linearity; Winkler-Pasternak foundation | ||
| Address | ||
| J.R. Cho: Department of Naval Architecture and Ocean Engineering, Hongik University, Sejong 30016, Korea | ||