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Advances in Nano Research Volume 13, Number 1, July 2022 , pages 63-75 DOI: https://doi.org/10.12989/anr.2022.13.1.063 |
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Intelligent computer modelling and simulation for the large amplitude of nano systems |
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Wenjuan Yi
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| Abstract | ||
| The nonlinear dynamic behavior of a nonuniform small-scale nonlocal beam is investigated in this work. The nanobeam is theoretically modeled using the nonlocal Eringen theory, as well as a few of Von-nonlinear Kármán's theories and the classical beam theory. The Hamilton principle extracts partial differential equations (PDE) of an axially functionally graded (AFG) nano-scale beam consisting of SUS304 and Si3N4 throughout its length, and an elastic Winkler-Pasternak substrate supports the tapered AFG nanobeam. The beam thickness is a function of beam length, and it constantly varies throughout the length of the beam. The numerical solution strategy employs an iteration methodology connected with the generalized differential quadratic method (GDQM) to calculate the nonlinear outcomes. The nonlinear numerical results are presented in detail to examine the impact of various parameters such as nonlinear amplitude, nonlocal parameter, the component of the elastic foundation, rate of cross-section change, and volume fraction parameter on the linear and nonlinear free vibration characteristics of AFG nanobeam. | ||
| Key Words | ||
| dynamic analysis; high-order theory; nanobeams; nonlinear analysis; small-scale structures | ||
| Address | ||
| Wenjuan Yi: School of Information Engineering and Technology, Qingdao Vocational and Technical College of Hotel Management, Qingdao 266100, Shandong, China | ||