發(fā)布時(shí)間：2018-01-10 19:14

  本文關(guān)鍵詞：變曲率平面拱的自由振動(dòng)分析　出處：《蘭州理工大學(xué)學(xué)報(bào)》2017年02期 　論文類型：期刊論文

  更多相關(guān)文章： 變曲率 平面拱 自由振動(dòng) 頻率 傳遞矩陣法(TMM)

【摘要】：基于Euler-Bernoulli梁理論和傳遞矩陣法(TMM),研究變曲率平面拱的自由振動(dòng)問題.考慮拱軸線的曲率沿張角呈線性變化,將變曲率平面拱在弧線方向離散成多個(gè)曲拱單元,用TMM推導(dǎo)單元傳遞矩陣和變曲率平面拱的自由振動(dòng)特征方程.求解不同邊界條件下變曲率平面拱自由振動(dòng)的固有頻率,考慮曲率變化系數(shù)對于拱的自由振動(dòng)頻率的影響,將求得的兩端固定圓弧拱的結(jié)果與現(xiàn)有文獻(xiàn)作了比較,證明TMM對求解該問題的有效性.結(jié)果表明,當(dāng)拱軸線的曲率沿張角呈線性變化,不同邊界條件下變曲率平面拱各階自由振動(dòng)頻率隨曲率變化系數(shù)的增大而增大,且相同曲率變化系數(shù)增幅下隨自由振動(dòng)頻率階數(shù)的提高,自由振動(dòng)頻率的增幅也在加大.
[Abstract]:Euler-Bernoulli beam theory and transfer matrix method (TMM), based on the study of free vibration problem of curvature plane arch. Considering the curvature of the arch axis along the angle changes linearly, the variable curvature plane arch in the arc direction into a plurality of discrete arch unit, free vibration characteristic equation of transfer matrix with TMM derived unit and variable curvature plane arch. The natural frequency of variable curvature arch plane free vibration solution under different boundary conditions, considering the effect of curvature coefficient for free vibration frequency of the arch, the arch will be fixed at both ends of the arc of the results are compared with the existing literature, prove the effectiveness of TMM to solve the problem. The results show that when the curvature of the arch axis along the angle changes linearly, the variable curvature arch plane of each order free vibration frequency increases with the curvature coefficient under different boundary conditions, and the same curvature coefficient increase with free vibration The increase in the frequency of the dynamic frequency increases the frequency of the free vibration.

【作者單位】： 蘭州理工大學(xué)理學(xué)院;
【基金】：甘肅省自然科學(xué)基金(148RJZA017)
【分類號(hào)】：O32
【正文快照】： 拱作為一種常見的結(jié)構(gòu)形式,在土木、航空和機(jī)械工程等領(lǐng)域得到廣泛的應(yīng)用,因此對其靜、動(dòng)力學(xué)行為的研究有著十分重要的意義,特別對拱或曲梁的自由振動(dòng)問題,很多學(xué)者都進(jìn)行了大量的研究.例如,Karnovsky[1]對各種類型均勻材料拱結(jié)構(gòu)的強(qiáng)度、穩(wěn)定性和振動(dòng)問題求解的基本方法和過，

本文編號(hào)：1406480