本文選題：旋轉(zhuǎn)圓環(huán)形截面梁　切入點(diǎn)：FGM　出處：《應(yīng)用力學(xué)學(xué)報(bào)》2017年03期 　論文類型：期刊論文

【摘要】：工程實(shí)際中直升機(jī)的旋翼和風(fēng)力機(jī)的葉片等可簡(jiǎn)化為旋轉(zhuǎn)柔性懸臂梁的動(dòng)力學(xué)問(wèn)題。針對(duì)旋轉(zhuǎn)FGM圓環(huán)形截面柔性懸臂梁的橫向振動(dòng)問(wèn)題,基于Euler-Bernoulli梁理論和Hamilton原理,建立了自由振動(dòng)時(shí)的運(yùn)動(dòng)微分方程。對(duì)運(yùn)動(dòng)微分方程和邊界條件進(jìn)行量綱歸一化處理,采用微分求積法對(duì)其進(jìn)行離散化,得到了系統(tǒng)的廣義特征方程。分析了旋轉(zhuǎn)FGM圓環(huán)形截面柔性梁的前三階量綱為一的固有頻率隨梯度指標(biāo)和不同梯度指標(biāo)、徑長(zhǎng)比下量綱為一的固有頻率隨輪轂量綱為一的角速度的變化關(guān)系。數(shù)值計(jì)算結(jié)果表明,在給定某些參數(shù)情況下,旋轉(zhuǎn)FGM環(huán)形截面懸臂梁的前三階量綱為一的固有頻率隨輪轂量綱為一的角速度的增大而增大,第二階、第三階量綱為一的固有頻率隨梯度指標(biāo)的增大而增大的趨勢(shì)較為明顯。
[Abstract]:In engineering practice, the rotor of helicopter and the blade of wind turbine can be simplified as the dynamic problem of rotating flexible cantilever beam. Aiming at the lateral vibration of flexible cantilever beam with rotating FGM ring section, based on the theory of Euler-Bernoulli beam and Hamilton principle, The differential equations of motion for free vibration are established. The differential equations of motion and boundary conditions are treated by dimensionality normalization, and the differential quadrature method is used to discretize them. The generalized characteristic equations of the system are obtained, and the natural frequencies of the first three dimensional flexible beams with rotating FGM ring section are analyzed with the gradient index and different gradient indexes. The relationship between the natural frequency of dimensionality and the angular velocity of the wheel with one dimension at the ratio of diameter to length. The numerical results show that, given some parameters, The natural frequency of the first three dimensional cantilever beams with rotating FGM ring section increases with the increase of the angular velocity of the wheel hub dimension, and the natural frequency of the second order and the third order of the cantilever beam increases with the increase of the gradient index.
【作者單位】： 西安理工大學(xué)土木建筑工程學(xué)院;秦川機(jī)床工具集團(tuán)股份公司;
【基金】：國(guó)家自然科學(xué)基金(11472211) 陜西省自然科學(xué)基礎(chǔ)研究計(jì)劃(2015JM1029)
【分類號(hào)】：O327

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相關(guān)期刊論文 前3條

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2 宋力，，張平;關(guān)于彈性地基上圓環(huán)形薄板振動(dòng)問(wèn)題的解答（續(xù)一）[J];沈陽(yáng)工業(yè)學(xué)院學(xué)報(bào);1996年01期

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