本文選題：主共振 + 旋轉(zhuǎn)復(fù)合材料軸��； 參考：《力學(xué)學(xué)報(bào)》2017年04期

【摘要】：旋轉(zhuǎn)復(fù)合材料軸作為一類典型的轉(zhuǎn)子動(dòng)力學(xué)系統(tǒng),在先進(jìn)直升機(jī)和汽車(chē)動(dòng)力驅(qū)動(dòng)系統(tǒng)中有著廣闊的應(yīng)用前景.研究旋轉(zhuǎn)復(fù)合材料軸的非線性振動(dòng)特性具有重要的理論與實(shí)用價(jià)值.然而,目前有關(guān)旋轉(zhuǎn)軸的非線性振動(dòng)研究?jī)H限于各向同性金屬材料軸,很少考慮材料內(nèi)阻的影響.本文研究具有材料內(nèi)阻的旋轉(zhuǎn)非線性復(fù)合材料軸的主共振.非線性來(lái)源于不可伸長(zhǎng)復(fù)合材料軸的大變形引起的非線性曲率和非線性慣性,材料內(nèi)阻來(lái)源于復(fù)合材料的黏彈性.動(dòng)力學(xué)建模計(jì)入轉(zhuǎn)動(dòng)慣量和陀螺效應(yīng).基于擴(kuò)展的Hamilton原理,導(dǎo)出具有偏心激勵(lì)的旋轉(zhuǎn)復(fù)合材料軸的彎-彎耦合非線性振動(dòng)偏微分方程組.采用Galerkin法將偏微分方程離散化為常微分方程,采用多尺度法對(duì)常微分方程進(jìn)行攝動(dòng)分析,導(dǎo)出主共振響應(yīng)的解析表達(dá)式.對(duì)內(nèi)阻、外阻、鋪層角、長(zhǎng)徑比、鋪層方式和偏心距進(jìn)行數(shù)值分析,研究上述參數(shù)對(duì)旋轉(zhuǎn)非線性復(fù)合材料軸的穩(wěn)態(tài)受迫振動(dòng)響應(yīng)行為的影響.研究發(fā)現(xiàn),角鋪設(shè)復(fù)合材料軸的內(nèi)阻系數(shù)隨著鋪層角的增大而增大;內(nèi)阻對(duì)主共振響應(yīng)特性的影響主要體現(xiàn)在對(duì)抑制振幅和改變頻率響應(yīng)的穩(wěn)定性方面;發(fā)生在正進(jìn)動(dòng)固有頻率附近的主共振響應(yīng)具有典型的硬彈簧非線性特性.本文提出的模型能夠用于描述旋轉(zhuǎn)復(fù)合材料軸的主共振特性,是對(duì)不可伸長(zhǎng)旋轉(zhuǎn)金屬軸非線性動(dòng)力學(xué)模型的重要推廣.
[Abstract]:As a kind of typical rotor dynamic system, rotating composite shaft has a wide application prospect in advanced helicopter and automobile power drive system. It has important theoretical and practical value to study the nonlinear vibration characteristics of rotating composite shaft. However, at present, the study of nonlinear vibration of rotating shaft is limited to isotropic metal material axis, and the influence of material internal resistance is seldom considered. In this paper, the principal resonance of rotating nonlinear composite axis with internal resistance is studied. The nonlinear curvature and nonlinear inertia caused by the large deformation of the inextensible composite axis are nonlinear and the internal resistance of the material is derived from the viscoelasticity of the composite. The dynamic modeling takes into account the moment of inertia and gyro effect. Based on the extended Hamilton principle, the partial differential equations of bending and bending coupled nonlinear vibration of a rotating composite axis with eccentric excitation are derived. The partial differential equation is discretized into ordinary differential equation by Galerkin method. The perturbation analysis of ordinary differential equation is carried out by using multi-scale method, and the analytical expression of principal resonance response is derived. The influence of the above parameters on the steady state forced vibration response of rotating nonlinear composite shaft is studied by numerical analysis of internal resistance, external resistance, layer angle, aspect ratio, layering mode and eccentricity. It is found that the internal resistance coefficient increases with the increase of the lamination angle, and the influence of the internal resistance on the main resonance response is mainly reflected in the stability of the suppression amplitude and the frequency response. The main resonance response near the forward precession natural frequency has typical nonlinear characteristics of hard spring. The model presented in this paper can be used to describe the principal resonance characteristics of rotating composite axis and is an important extension of the nonlinear dynamic model of non-extensible rotating metal axis.
【作者單位】： 山東科技大學(xué)機(jī)械電子工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(11272190,11672166)
【分類號(hào)】：TB33;TH113
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本文編號(hào)：2107335