Buckling Induced Strongly Nonlinear Vibration of Supercritical Axially Moving Beam
Source abstract
Abstract
In this paper, the postbuckling problem and the free linear and nonlinear vibration surrounding postbuckling configuration are accurately analyzed. The placement of translating beams that undergo significant overall buckling deformations in this high-speed region, leading to strongly nonlinear vibration, is studied. Using the Galerkin method, we found that the partial differential equation is reduced to an ordinary differential equation with cubic and quadratic terms, which differs from the previous literature. The supercritical natural frequency is analytically obtained, the strongly nonlinear vibration problem is solved using the homotopy analysis method (HAM), and the solution is examined using numerical results. Results show that the obtained analytical solution is valid for both weakly and strongly nonlinear cases.
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Research context
OpenAlex topics: Vibration and Dynamic Analysis · Fluid Dynamics and Vibration Analysis · Composite Structure Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Tianjin Key Laboratory for Civil Aircraft Airworthiness and Maintenance, Civil Aviation University of China, Tianjin 300300, China
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Funding
Scientific Research Project of the Tianjin Education Commission
References (33)
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