Abstract
The restriction ofK-B averaging method is discussed and asymptotic solution of the weakly nonlinear and forced oscillationu″+ω 20 u=εkcosωt−εu 3 is obtained by Struble technique. The conclusion about this oscillation derived with other method is discussed. The results show thatK-B method will break down whena andθ in the zeroth solution of above eqation are not slowly varying functions of timet. The stationary solution of weakly nonlinear oscillation,u″+ω 20 u=εkcosω(ε)t-εu 3 is also analysed.
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References
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Synopsis of the author Chen Feng, associated professor, born in October 1948, worked on experimental fracture mechanics in Sweden from 1990 to 1995 as a visiting scholar. Major research fields include perturbation and weight function method and its application, experimental mechanics. currently interested in rock fracture mechanics.
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Chen, F. Asymptotic analysis of weakly nonlinear and forced oscillations. J. Cent. South Univ. Technol. 3, 191–195 (1996). https://doi.org/10.1007/BF02652203
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DOI: https://doi.org/10.1007/BF02652203