本文選題：薄壁圓盤 + 固有特性��； 參考：《中南大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年05期

【摘要】：采用理論分析、實(shí)驗(yàn)測(cè)試與有限元仿真3種方法相互結(jié)合,分析中心固支條件的旋轉(zhuǎn)薄壁圓盤的行波振動(dòng)特性。基于Kirchhoff薄板基本假設(shè),利用Lagrange方程,建立中心固支薄壁圓盤的能量方程。采用Rayleigh-Ritz法,利用多項(xiàng)式函數(shù)作為容許函數(shù),建立旋轉(zhuǎn)圓盤動(dòng)力學(xué)分析的動(dòng)力學(xué)方程,獲得薄壁圓盤靜止態(tài)固有特性和和旋轉(zhuǎn)態(tài)行波特性的分析方法,并利用試驗(yàn)測(cè)試、有限元計(jì)算結(jié)果對(duì)本文所提出的解析方法進(jìn)行驗(yàn)證。分析薄壁圓盤在靜止態(tài)下的固有特性并對(duì)比分析不同旋轉(zhuǎn)速度下旋轉(zhuǎn)薄壁圓盤的行波特性。結(jié)果表明:前行波頻率隨轉(zhuǎn)動(dòng)速度增加而增加,后行波頻率先減小后增加,當(dāng)后行波頻率減小為0時(shí),前行波與后行波相互靜止,即出現(xiàn)"駐波"現(xiàn)象,此時(shí)圓盤振動(dòng)很容易引起共振破壞。
[Abstract]:The traveling wave vibration characteristics of the rotating thin-walled disk with the central clamping condition are analyzed by the combination of theoretical analysis, experimental test and finite element simulation. Based on the basic hypothesis of Kirchhoff thin plate, the energy equation of central clamped thin wall disk is established by using Lagrange equation. By using the Rayleigh-Ritz method and the polynomial function as the admissible function, the dynamic equations of the dynamic analysis of the rotating disk are established, and the analytical methods of the inherent characteristics of the static state and the traveling wave characteristics of the rotating state of the thin wall disk are obtained, and the test results are used. The results of finite element analysis verify the analytical method proposed in this paper. The inherent characteristics of thin-walled disks in static state are analyzed and the traveling wave characteristics of rotating thin-walled disks with different rotating velocities are compared and analyzed. The results show that the frequency of the forward wave increases with the increase of the rotational velocity, and the frequency of the rear traveling wave decreases first and then increases. When the frequency of the latter wave decreases to zero, the forward wave and the backward traveling wave are stationary, that is, the "standing wave" phenomenon occurs. At this point, the vibration of the disk is easy to cause resonance damage.
【作者單位】： 遼寧科技大學(xué)機(jī)械工程與自動(dòng)化學(xué)院;大連理工大學(xué)機(jī)械工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(11472068)~~
【分類號(hào)】：O342

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