本文選題：轉(zhuǎn)子-葉片耦合系統(tǒng)　切入點(diǎn)：固有頻率　出處：《振動(dòng)工程學(xué)報(bào)》2016年05期 　論文類型：期刊論文

【摘要】：首先考慮各組件陀螺效應(yīng)推導(dǎo)了旋轉(zhuǎn)狀態(tài)下轉(zhuǎn)軸-輪盤及葉片的連續(xù)體能量方程并進(jìn)行離散化和組集處理,獲得了柔性轉(zhuǎn)子-葉片耦合系統(tǒng)的運(yùn)動(dòng)微分方程。然后分析了葉片數(shù)和輪盤位置對(duì)系統(tǒng)固有頻率的影響。通過對(duì)比分析發(fā)現(xiàn),由于葉片和轉(zhuǎn)軸的耦合出現(xiàn)了由葉片前兩階模態(tài)主導(dǎo)的轉(zhuǎn)子-葉片耦合模態(tài)和葉片-葉片耦合模態(tài),其中包含Nb-2(Nb為葉片數(shù)目)個(gè)重復(fù)的葉片-葉片耦合模態(tài),2個(gè)重復(fù)的轉(zhuǎn)子-葉片耦合模態(tài);隨著葉片數(shù)的增加,轉(zhuǎn)子模態(tài)固有頻率線性減小,葉片-葉片耦合模態(tài)的固有頻率不變,轉(zhuǎn)子-葉片耦合模態(tài)的固有頻率線性增大;轉(zhuǎn)子-葉片耦合模態(tài)和轉(zhuǎn)子前兩階模態(tài)對(duì)應(yīng)的固有頻率均受輪盤位置影響,影響趨勢關(guān)于轉(zhuǎn)軸中點(diǎn)對(duì)稱;其中,轉(zhuǎn)子-葉片耦合模態(tài)對(duì)應(yīng)的一階固有頻率在輪盤從軸端到中點(diǎn)過程中逐漸增大,在軸中點(diǎn)時(shí)達(dá)到最大,二階固有頻率在輪盤從軸端到中點(diǎn)過程中先增大后減小,在軸中點(diǎn)時(shí)達(dá)到最小;轉(zhuǎn)子模態(tài)固有頻率變化則與轉(zhuǎn)子-葉片耦合模態(tài)完全相反,但不同的是其基本不受葉片數(shù)影響。
[Abstract]:Firstly, considering the gyroscopic effect of each component, the continuum energy equations of rotating shaft-disk and blade are derived, and the equations are discretized and assembled. The differential equations of motion of the flexible rotor-blade coupling system are obtained, and the influence of the number of blades and the position of the wheel plate on the natural frequency of the system is analyzed. Because of the coupling between the blade and the shaft, the rotor blade coupling mode and the blade blade coupling mode dominated by the first two modes of the blade appear. It contains Nb-2(Nb as the number of blades) and two repeated rotor-blade coupling modes. With the increase of the number of blades, the natural frequency of rotor mode decreases linearly. The natural frequency of the rotor blade coupling mode increases linearly, while the natural frequency of the rotor blade coupling mode and the first two rotor modes are all affected by the wheel position, while the natural frequency of the blade coupling mode is constant, and the natural frequency of the rotor blade coupling mode increases linearly. The first order natural frequency corresponding to the rotor-blade coupling mode increases gradually from the shaft end to the center point of the wheel and reaches its maximum at the center point of the shaft. The second order natural frequency increases first and then decreases from the shaft end to the middle point, and reaches the minimum at the middle point of the shaft, while the rotor mode natural frequency change is completely opposite to the rotor blade coupling mode, but the difference is that it is not affected by the number of blades.
【作者單位】： 東北大學(xué)機(jī)械工程與自動(dòng)化學(xué)院;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(51575093) 中央高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)資金資助項(xiàng)目(N140304002)
【分類號(hào)】：O347.6

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