【摘要】：時滯反饋作為動力，它實際上是根據(jù)相對論的同時性原理作為加在動力學(xué)方程上的一項，用來降低原系統(tǒng)的振動能量來抑制目標(biāo)系統(tǒng)的有害振動。時滯反饋控制能夠在振動系統(tǒng)的共振區(qū)域?qū)崿F(xiàn)對主系統(tǒng)振動的有效抑制。在線性振動系統(tǒng)中，它可以實現(xiàn)對簡諧外激勵頻率激勵下的主系統(tǒng)振動的完全減振。并且控制系統(tǒng)容易用程序設(shè)計，鏈接進嵌入系統(tǒng)循環(huán)被實際應(yīng)用。本文利用時滯反饋控制扭轉(zhuǎn)系統(tǒng)的振動，主要分析了反饋增益系數(shù)和時滯量對扭轉(zhuǎn)振動系統(tǒng)的減振作用。 第一，文章研究了采用一個線性時滯動力吸振器來抑制扭轉(zhuǎn)振動系統(tǒng)的振動問題。采用穩(wěn)定性切換方法對時滯反饋控制系統(tǒng)的穩(wěn)定性進行了分析，得到了系統(tǒng)的時滯穩(wěn)定性區(qū)域。當(dāng)反饋增益系數(shù)和時滯量都調(diào)節(jié)到合適的數(shù)值時，能夠?qū)⒅飨到y(tǒng)的振動全部消除。當(dāng)時滯在某些區(qū)域進行調(diào)節(jié)時，能夠部分消除主系統(tǒng)的振動。然而，，當(dāng)時滯在其它一些區(qū)域進行調(diào)節(jié)時反而會增大主系統(tǒng)的振動，甚至?xí)驗橄到y(tǒng)的不穩(wěn)定導(dǎo)致結(jié)構(gòu)破壞。第二，文章對一個兩自由度的線性扭轉(zhuǎn)振動系統(tǒng)進行了研究。利用反共振點理論對被動動力吸振器減振系統(tǒng)的優(yōu)化獲得了良好的物理參數(shù)導(dǎo)致較好的被動減振穩(wěn)定性。用直接法算出了在穩(wěn)定區(qū)域內(nèi)的時滯量。理論和數(shù)值仿真結(jié)果吻合，結(jié)果表明，在反共振點，可以完全減振，在反共振點的鄰域也可以獲得百分之五十以上的減振效果。第三，在以上被動式動力吸振器減振的基礎(chǔ)上，采用時滯反饋控制對系統(tǒng)的振動進行進一步的主動控制�？茖W(xué)地基于遺傳算法的理論對反饋增益系數(shù)和時滯量兩控制參數(shù)進行優(yōu)化設(shè)計，得出了：在固定的時滯量（這個時滯量一定是在算出的穩(wěn)定區(qū)域內(nèi)），算出了反饋增益系數(shù)和外激勵頻率優(yōu)化數(shù)組對減振進行控制。結(jié)果表明：算出的最優(yōu)反饋增益系數(shù)和外激勵頻率數(shù)組成數(shù)組能夠使扭轉(zhuǎn)振動主系統(tǒng)完全減振。并且吸振器的能量也有大的下降。第四，文章對在一個帶有非線性時滯動力吸振器的扭轉(zhuǎn)振動系統(tǒng)進行了分析,采用多尺度方法獲得了系統(tǒng)的近似解析解。分析了反饋增益系數(shù)和時滯量對主系統(tǒng)減振的影響。研究結(jié)果表明,對某一固定的反饋增益系數(shù),存在時滯的某段調(diào)節(jié)區(qū)間,可以通過調(diào)節(jié)時滯來抑制主系統(tǒng)的振動。在時滯的調(diào)節(jié)區(qū)間內(nèi)存在一個最佳時滯點,在該點主系統(tǒng)的振動被抑制到最小值�？梢酝瑫r調(diào)節(jié)反饋增益系數(shù)和時滯兩參數(shù),當(dāng)反饋增益系數(shù)和時滯都調(diào)節(jié)到最佳值時,主系統(tǒng)振動的振幅獲得了很好的減振效果。 本文的研究結(jié)果能夠為扭轉(zhuǎn)振動系統(tǒng)的振動控制提供一種新的減振方法，具有重要的理論研究價值，為時滯減振技術(shù)在扭轉(zhuǎn)振動系統(tǒng)中的應(yīng)用提供了可靠的理論保障。
[Abstract]:The time-delay feedback is actually a term added to the dynamic equation according to the relativistic simultaneous principle, which is used to reduce the vibration energy of the original system to suppress the harmful vibration of the target system. The time-delay feedback control can effectively suppress the vibration of the main system in the resonance region of the vibration system. In the linear vibration system, it can completely reduce the vibration of the main system excited by the simple harmonic external excitation frequency. And the control system is easy to use program design, link into embedded system cycle is used in practice. In this paper, feedback is used to control the vibration of torsional system, and the damping effect of feedback gain coefficient and time-delay on torsional vibration system is analyzed. First, a linear time-delay dynamic vibration absorber is used to suppress the vibration of torsional vibration system. The stability of the time-delay feedback control system is analyzed by using the stability switching method, and the time-delay stability region of the system is obtained. When the feedback gain coefficient and time delay are adjusted to a suitable value, the vibration of the main system can be eliminated completely. At that time, the vibration of the main system can be partially eliminated when it is regulated in some areas. However, at that time, the vibration of the main system will be increased when the adjustment is carried out in some other areas, and even the structure will be destroyed because of the instability of the system. Secondly, a linear torsional vibration system with two degrees of freedom is studied. The anti-resonance point theory is used to optimize the damping system of passive dynamic vibration absorber. Good physical parameters result in better stability of passive vibration absorption. The time delay in the stable region is calculated by direct method. The theoretical results are in agreement with the numerical simulation results. The results show that at the anti-resonance point, the vibration can be completely reduced, and more than 50% can be obtained in the neighborhood of the anti-common vibration point. Thirdly, on the basis of the passive dynamic vibration absorber, the time-delay feedback control is used to control the vibration of the system. Based on the theory of genetic algorithm, the control parameters of feedback gain coefficient and time-delay are optimized. It is obtained that the feedback gain coefficient and the optimal array of external excitation frequencies are calculated to control the vibration reduction in the fixed time-delay (which must be in the calculated stable region). The results show that the optimal feedback gain coefficient and the number of external excitation frequencies can completely reduce the vibration of the torsional vibration master system. And the energy of the absorber also has a big drop. Fourthly, a torsional vibration system with nonlinear time-delay dynamic absorber is analyzed. The approximate analytical solution of the system is obtained by using the multi-scale method. The effect of feedback gain coefficient and time delay on the vibration reduction of the main system is analyzed. The results show that for a fixed feedback gain coefficient, there is a certain interval with time delay, so the vibration of the main system can be restrained by adjusting the time delay. There exists an optimal time-delay point in the regulating interval with time delay, at which the vibration of the main system is restrained to the minimum. Both the feedback gain coefficient and the time delay can be adjusted simultaneously. When the feedback gain coefficient and the time delay are adjusted to the optimum value, the vibration amplitude of the main system can be reduced very well. The results of this paper can provide a new damping method for the vibration control of torsional vibration system, and have important theoretical research value, and provide a reliable theoretical guarantee for the application of time-delay damping technology in torsional vibration system.
【學(xué)位授予單位】：南昌航空大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2013
【分類號】：TB535

【參考文獻】

相關(guān)期刊論文 前5條

1 劉勁濤;劉杰;李小號;柳洪義;;反共振點位于兩共振點正中間的反共振機參數(shù)選擇[J];東北大學(xué)學(xué)報(自然科學(xué)版);2009年03期

2 王治國;;汽輪發(fā)電機轉(zhuǎn)子系統(tǒng)扭轉(zhuǎn)振動及其控制過程研究[J];上海大中型電機;2007年02期

3 江國和,宋福堂;水下航行裝置推進軸系扭轉(zhuǎn)振動控制研究[J];振動.測試與診斷;1997年01期

4 魏燕定;呂永桂;呂存養(yǎng);文耀華;陳子辰;;機器人柔性臂的扭轉(zhuǎn)振動主動控制研究[J];浙江大學(xué)學(xué)報(工學(xué)版);2005年11期

5 呂永桂;魏燕定;陳子辰;;空間兩連桿柔性構(gòu)件彎扭耦合振動主動控制[J];浙江大學(xué)學(xué)報(工學(xué)版);2007年05期

本文編號：2260155