4.5 Article

Nonlinear primary resonance of nano beam with axial initial load by nonlocal continuum theory

期刊

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2014.01.008

关键词

Nonlinear primary resonance; Small scale effects; Nano beam; Nonlocal continuum theory; Initial axial load

资金

  1. National Natural Science Foundation of China [11372090, 11172084]
  2. Research Foundations [HIT.BRETIII.201213, LBH-Q12089]
  3. Fundamental Research Funds for the Central Universities

向作者/读者索取更多资源

Based on the nonlocal continuum theory, the nonlinear primary resonance of nano beam with the axial initial load is investigated. The amplitude-frequency response for the primary resonance is derived with the multiple scale method and the stability is analyzed. The nonlinear primary resonance of nano beam is discussed with the influences of small scale effect, axial initial load, mode number, Winkler foundation modulus and the ratio of the length to the diameter. From the results, the typical hardening nonlinearity can be observed. Moreover, some significant and interesting nonlinear phenomena can be found for the primary resonance of nano beam. This work is expected to be useful for the design and analysis for the nonlinear dynamic behaviors of structures at nano scales. Crown Copyright (C) 2014 Published by Elsevier Ltd. All rights reserved.

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