本文關(guān)鍵詞：變曲率FGM拱的面內(nèi)自由振動(dòng)分析　出處：《振動(dòng)與沖擊》2017年09期 　論文類型：期刊論文

  更多相關(guān)文章： 變曲率 FGM拱 面內(nèi)自由振動(dòng) 頻率 傳遞矩陣法

【摘要】：基于Euler-Bernoulli曲梁理論,考慮材料沿拱厚度方向呈梯度分布時(shí)中性層的改變,將變曲率功能梯度材料(Functionally Graded Materials,FGM)拱在弧線方向離散成多個(gè)曲拱單元。視每個(gè)曲拱單元為半徑一定的圓弧拱單元,根據(jù)Hamilton變分原理推導(dǎo)出FGM圓弧拱單元的面內(nèi)自由振動(dòng)方程,進(jìn)而求得了單元傳遞矩陣。利用傳遞矩陣法(Transfer Matrix Method,TMM)推導(dǎo)出變曲率FGM拱的面內(nèi)自由振動(dòng)特征方程,求解兩端固定邊界條件下變曲率FGM拱面內(nèi)自由振動(dòng)的固有頻率,并將得到結(jié)果與現(xiàn)有文獻(xiàn)作了比較,證明TMM對(duì)求解該問題的有效性。分析了曲率變化系數(shù)和材料體積分?jǐn)?shù)變化系數(shù)對(duì)變曲率FGM拱的面內(nèi)自由振動(dòng)頻率的影響。
[Abstract]:Based on the Euler-Bernoulli curved beam theory, the change of neutral layer is considered when the material is gradient distribution along the arch thickness. The functionally graded material with variable curvature is functionally Graded Materials. The FGM) arch is discretized into several curved arch elements in the arc direction. Each curved arch element is regarded as a circular arc arch element with a certain radius. Based on the Hamilton variational principle, the in-plane free vibration equation of FGM arc arch element is derived. Then the element transfer matrix is obtained, and the in-plane free vibration characteristic equation of FGM arch with variable curvature is derived by transfer Matrix method TMMM. The natural frequencies of the free vibration in the plane of FGM arch with variable curvature under the condition of fixed boundary at both ends are solved, and the results obtained are compared with the existing literatures. It is proved that TMM is effective in solving this problem. The influence of the coefficient of curvature variation and the coefficient of material volume fraction variation on the in-plane free vibration frequency of FGM arch with variable curvature is analyzed.
【作者單位】： 蘭州理工大學(xué)理學(xué)院;
【基金】：國家自然科學(xué)基金(11662008) 甘肅省自然科學(xué)基金(148RJZA017)
【分類號(hào)】：O323;TB34
【正文快照】： 近年來,功能梯度材料(Functionally Graded Materi-als,FGM)以具有較高的力學(xué)性能越來越多的被應(yīng)用和研究,其一般是由陶瓷和金屬按指定的方向以一定的分布規(guī)律復(fù)合而成。對(duì)FGM性能的研究也成為結(jié)構(gòu)設(shè)計(jì)及優(yōu)化的重要內(nèi)容,當(dāng)然研究FGM結(jié)構(gòu)的自由振動(dòng)特性也有著十分重要的意義。C，

本文編號(hào)：1435927