loading page

Dynamic vibration analysis of cantilever beams on nonlinear fractional viscoelastic foundation under Gaussian white noise
  • +3
  • Jingguo Qu,
  • Yuhuan Cui,
  • Mengyao Cui,
  • Yiming Chen,
  • Aimin Yang,
  • Qianqian Fan
Jingguo Qu
North China University of Science and Technology

Corresponding Author:[email protected]

Author Profile
Yuhuan Cui
North China University of Science and Technology
Author Profile
Mengyao Cui
North China University of Science and Technology
Author Profile
Yiming Chen
Yanshan University
Author Profile
Aimin Yang
North China University of Science and Technology
Author Profile
Qianqian Fan
North China University of Science and Technology
Author Profile

Abstract

This paper presents the dynamic response of cantilever beam on fractional-order nonlinear viscoelastic foundation subjected to Gaussian white noise. The control equations of the cantilever beam on viscoelastic foundation are established using Hamilton's principle. The problem is solved using the shifted Chebyshev polynomial algorithm, and the control equations are transformed into a system of nonlinear algebraic equations. Numerical examples analyse the correction error and the second norm error, confirming the effectiveness and accuracy of the algorithm in solving such problems. Furthermore, the algorithm's robustness was verified by comparing the responses of Gaussian white noise and non-Gaussian white noise cantilever beam on the viscoelastic foundation. The study examined the impact of various loads and parameters on the cantilever beam, as well as the effect of different harmonic loads on its stress. The research results are in line with the existing literature. These studies offer valuable guidance for practical engineering and enhance comprehension of the dynamic response of cantilevers on foundation in complex environments.
23 Jan 2024Submission Checks Completed
23 Jan 2024Assigned to Editor
02 Feb 2024Review(s) Completed, Editorial Evaluation Pending
03 Feb 2024Reviewer(s) Assigned