Vibrations in an elastic beam with nonlinear supports at both ends
學年 103
學期 2
出版(發表)日期 2015-06-16
作品名稱 Vibrations in an elastic beam with nonlinear supports at both ends
著者 Yi-Ren Wang; Zhi-Wei Fang
著錄名稱、卷期、頁數 Journal of Applied Mechanics and Technical Physics 56(2), pp.337-346
摘要 This study analyzed vibrations in an elastic beam supported by nonlinear supports at both ends under the influence of harmonic forces. We hypothesized that the elastic Bernoullis-Euler beam was supported by cubic springs to simulate nonlinear boundary conditions. We described the dynamic behavior of the beam using Fourier expansion and simulated mode shapes using the Bessel function. We then applied the Hankel transform to obtain particular (non-homogeneous) solutions. This study succeeded in describing the jump phenomenon of nonlinear frequency response, from which we derived the resonance frequency and the frequency region(s) of system instability. Models based on linear boundary conditions are unable to capture this phenomenon. A larger modulus of elasticity in nonlinear supports increases the frequency of unstable vibration in the 1st mode and also widens the frequency region of system instability. This influence is less prominent in the 2nd mode, in which the largest amplitude was smaller than those observed in the 1st mode. The model and the analytical approach presented in this study are widely applicable to construction problems, such as shock absorber systems in motorcycles, suspension bridges, high speed railways, and a variety of mechanical devices. According to our results, system stability is influenced by the frequency regions of system instability as well as the nonlinear modulus of elastic supports.
關鍵字 vibration;nonlinear boundary conditions;elastic beam
語言 en
ISSN 1573-8620
期刊性質 國外
收錄於 SCI EI
通訊作者 Yi-Ren Wang
國別 RUS
出版型式 ,電子版,紙本

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