【摘要】：從工程實際中提煉出一種熱環(huán)境下含間隙的機械構(gòu)件的力學(xué)模型，根據(jù)不同的接觸邊界，建立了三種不同的橫向振動微分方程。分析了梁內(nèi)部由于變溫作用產(chǎn)生的溫度應(yīng)力，討論了梁由于變溫作用發(fā)生失穩(wěn)的臨界溫度�？紤]干摩擦和溫度應(yīng)力同時影響下的梁的運動，導(dǎo)出相應(yīng)的固有頻率以及固有振型的解析表達式，，驗證了振型正交性。根據(jù)解析解以及由Matlab編寫的有限元程序解答，討論了不同邊界接觸形式下變溫對固有頻率的非線性影響。建立了右端相對滑動情況下梁的無量綱模態(tài)坐標(biāo)方程，討論了變溫對實際模態(tài)坐標(biāo)與無量綱模態(tài)坐標(biāo)之間的轉(zhuǎn)化關(guān)系的影響。采用諧波平衡法以及半周期穩(wěn)態(tài)解法，分析了系統(tǒng)的非粘結(jié)穩(wěn)態(tài)振動以及解存在的條件，當(dāng)給定實際簡諧激勵，包括實際激勵幅值和實際激勵頻率時，給出了確定系統(tǒng)能夠產(chǎn)生非粘結(jié)運動的變溫范圍的方法。分析了系統(tǒng)的雙stop粘滑運動，求解出三分之一倍頻激勵下雙stop粘滑運動解析解，分析了解的存在條件，給出了確定系統(tǒng)能夠產(chǎn)生三分之一倍頻激勵下雙stop粘滑運動的變溫范圍的方法。采用中心差分法數(shù)值驗證了非粘結(jié)振動以及雙stop粘滑運動的解析解。
[Abstract]:A mechanical model of mechanical members with gaps in thermal environment is extracted from engineering practice. According to different contact boundaries, three different differential equations of transverse vibration are established. The temperature stress in the beam due to the variable temperature is analyzed and the critical temperature of the instability of the beam due to the variable temperature is discussed. Considering the effects of both dry friction and thermal stress on the motion of the beam, the analytical expressions of the corresponding natural frequency and natural mode are derived, and the orthogonality of the modes is verified. According to the analytical solution and the finite element program solution written by Matlab, the nonlinear influence of temperature variation on natural frequency under different boundary contact forms is discussed. The dimensionless modal coordinate equation of the beam under the condition of relative sliding at the right end is established, and the influence of temperature on the transformation between the actual modal coordinate and the dimensionless modal coordinate is discussed. By using harmonic balance method and semi-periodic steady-state solution, the unbonded steady state vibration of the system and the conditions for the existence of the solution are analyzed. When the actual harmonic excitation is given, including the actual excitation amplitude and the actual excitation frequency, The method of determining the variable temperature range of the system which can produce unbonded motion is given. The double stop stick-slip motion of the system is analyzed, and the analytical solution of the double stop stick-slip motion under the excitation of 1/3 times frequency is obtained, and the existence conditions of the solution are analyzed. A method is given to determine the temperature range of the double stop stick-slip motion under the excitation of 1/3 times frequency. The central difference method is used to verify the analytical solutions of the unbonded vibration and the double stop stick-slip motion.
【學(xué)位授予單位】：南京航空航天大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2012
【分類號】：TH113.1

【參考文獻】

相關(guān)期刊論文 前10條

1 丁旺才;張有強;張慶爽;;含干摩擦振動系統(tǒng)的非線性動力學(xué)分析[J];工程力學(xué);2008年10期

2 白鴻柏,黃協(xié)清;干摩擦振動系統(tǒng)響應(yīng)計算方法研究綜述[J];力學(xué)進展;2001年04期

3 王松濤;王立華;張鵬;;機械結(jié)合面阻尼的產(chǎn)生機理研究現(xiàn)狀與發(fā)展[J];機械;2007年12期

4 季葆華,袁奇,王樂天,張改慧,孟慶集,劉東遠;具有干摩擦阻尼結(jié)構(gòu)葉片的動力特性的理論建模和實驗研究[J];熱力發(fā)電;1997年06期

5 尤晉閩;陳天寧;;懸臂梁平面結(jié)合面參數(shù)的識別技術(shù)研究[J];西安交通大學(xué)學(xué)報;2008年11期

6 任勇生,秦惠增,趙子龍,熊詩波,耿麥香;干摩擦支承邊界梁的非線性振動分析[J];應(yīng)用力學(xué)學(xué)報;1998年02期

7 張有強;丁旺才;孫闖;;單自由度含間隙和干摩擦碰撞振動系統(tǒng)的分岔與混沌[J];振動與沖擊;2008年07期

8 譚明安;高德平;;干摩擦阻尼系統(tǒng)動力響應(yīng)分析的迭代方法[J];振動工程學(xué)報;1990年03期

9 郭樹起,楊紹普,郭京波;干摩擦阻尼系統(tǒng)的非粘結(jié)受迫振動分析[J];振動工程學(xué)報;2005年03期

10 趙登峰;;間隙約束懸臂梁振動系統(tǒng)動力行為研究[J];噪聲與振動控制;2007年03期

本文編號：2129822