本文選題：懸索 + 溫度變化　； 參考：《振動與沖擊》2017年15期

【摘要】：基于增量熱場理論,推導(dǎo)考慮均勻溫度變化影響下受諧波激勵的懸索非線性運動微分方程,利用Galerkin法將方程離散,并對離散后的方程進(jìn)行線性分析。以懸索主共振響應(yīng)為例,利用多尺度法求解其高階近似解及幅頻響應(yīng)方程,通過算例研究溫度變化對不同Irvine參數(shù)的懸索前四階模態(tài)頻率以及幅頻響應(yīng)曲線的影響。研究結(jié)果表明:懸索模態(tài)振型、頻率和主共振響應(yīng)受溫度變化影響明顯,且與其Irvine參數(shù)密切相關(guān);溫度變化有可能定性和定量地改變懸索非線性振動特性,其取決于線性項、平方和立方非線性項系數(shù)受溫度變化的影響程度;相同程度的升溫和降溫對懸索振動特性的影響不對稱。
[Abstract]:Based on the theory of incremental heat field, the nonlinear differential equations of suspension cable motion with harmonic excitation under the influence of uniform temperature are derived. The equations are discretized by Galerkin method, and the discrete equations are analyzed linearly. Taking the main resonance response of suspension cable as an example, the high-order approximate solution and amplitude frequency response equation are solved by using multi-scale method. The effects of temperature change on the first four order modal frequencies and amplitude-frequency response curves of different Irvine parameters are studied. The results show that the modal mode, the frequency and the main resonance response of the suspension cable are obviously affected by the temperature change and are closely related to its Irvine parameters, and the temperature change may change the nonlinear vibration characteristics of the suspension cable qualitatively and quantitatively, which depends on the linear term. The coefficient of square and cubic nonlinear term is affected by the change of temperature, and the influence of the same degree of heating and cooling on the vibration characteristics of suspension cable is asymmetrical.
【作者單位】： 華僑大學(xué)土木工程學(xué)院;湖南科技大學(xué)土木工程學(xué)院;湖南大學(xué)土木工程學(xué)院;
【基金】：國家自然科學(xué)基金(11602089;11402085) 福建省自然科學(xué)基金青年創(chuàng)新(2016J05011) 福建省中青年教師教育科研項目(JAT160025) 華僑大學(xué)高層次人才科研啟動費(15BS409)
【分類號】：U441.3

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