發(fā)布時(shí)間：2018-10-09 17:25

【摘要】：時(shí)滯反饋?zhàn)鳛閯?dòng)力，它實(shí)際上是根據(jù)相對(duì)論的同時(shí)性原理作為加在動(dòng)力學(xué)方程上的一項(xiàng)，用來(lái)降低原系統(tǒng)的振動(dòng)能量來(lái)抑制目標(biāo)系統(tǒng)的有害振動(dòng)。時(shí)滯反饋控制能夠在振動(dòng)系統(tǒng)的共振區(qū)域?qū)崿F(xiàn)對(duì)主系統(tǒng)振動(dòng)的有效抑制。在線性振動(dòng)系統(tǒng)中，它可以實(shí)現(xiàn)對(duì)簡(jiǎn)諧外激勵(lì)頻率激勵(lì)下的主系統(tǒng)振動(dòng)的完全減振。并且控制系統(tǒng)容易用程序設(shè)計(jì)，鏈接進(jìn)嵌入系統(tǒng)循環(huán)被實(shí)際應(yīng)用。本文利用時(shí)滯反饋控制扭轉(zhuǎn)系統(tǒng)的振動(dòng)，主要分析了反饋增益系數(shù)和時(shí)滯量對(duì)扭轉(zhuǎn)振動(dòng)系統(tǒng)的減振作用。 第一，文章研究了采用一個(gè)線性時(shí)滯動(dòng)力吸振器來(lái)抑制扭轉(zhuǎn)振動(dòng)系統(tǒng)的振動(dòng)問(wèn)題。采用穩(wěn)定性切換方法對(duì)時(shí)滯反饋控制系統(tǒng)的穩(wěn)定性進(jìn)行了分析，得到了系統(tǒng)的時(shí)滯穩(wěn)定性區(qū)域。當(dāng)反饋增益系數(shù)和時(shí)滯量都調(diào)節(jié)到合適的數(shù)值時(shí)，能夠?qū)⒅飨到y(tǒng)的振動(dòng)全部消除。當(dāng)時(shí)滯在某些區(qū)域進(jìn)行調(diào)節(jié)時(shí)，能夠部分消除主系統(tǒng)的振動(dòng)。然而，，當(dāng)時(shí)滯在其它一些區(qū)域進(jìn)行調(diào)節(jié)時(shí)反而會(huì)增大主系統(tǒng)的振動(dòng)，甚至?xí)驗(yàn)橄到y(tǒng)的不穩(wěn)定導(dǎo)致結(jié)構(gòu)破壞。第二，文章對(duì)一個(gè)兩自由度的線性扭轉(zhuǎn)振動(dòng)系統(tǒng)進(jìn)行了研究。利用反共振點(diǎn)理論對(duì)被動(dòng)動(dòng)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(dòng)減振穩(wěn)定性。用直接法算出了在穩(wěn)定區(qū)域內(nèi)的時(shí)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(diǎn)，可以完全減振，在反共振點(diǎn)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(dòng)式動(dòng)力吸振器減振的基礎(chǔ)上，采用時(shí)滯反饋控制對(duì)系統(tǒng)的振動(dòng)進(jìn)行進(jìn)一步的主動(dòng)控制。科學(xué)地基于遺傳算法的理論對(duì)反饋增益系數(shù)和時(shí)滯量?jī)煽刂茀?shù)進(jìn)行優(yōu)化設(shè)計(jì)，得出了：在固定的時(shí)滯量（這個(gè)時(shí)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(lì)頻率優(yōu)化數(shù)組對(duì)減振進(jìn)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(lì)頻率數(shù)組成數(shù)組能夠使扭轉(zhuǎn)振動(dòng)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(duì)在一個(gè)帶有非線性時(shí)滯動(dòng)力吸振器的扭轉(zhuǎn)振動(dòng)系統(tǒng)進(jìn)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(shí)滯量對(duì)主系統(tǒng)減振的影響。研究結(jié)果表明,對(duì)某一固定的反饋增益系數(shù),存在時(shí)滯的某段調(diào)節(jié)區(qū)間,可以通過(guò)調(diào)節(jié)時(shí)滯來(lái)抑制主系統(tǒng)的振動(dòng)。在時(shí)滯的調(diào)節(jié)區(qū)間內(nèi)存在一個(gè)最佳時(shí)滯點(diǎn),在該點(diǎn)主系統(tǒng)的振動(dòng)被抑制到最小值�？梢酝瑫r(shí)調(diào)節(jié)反饋增益系數(shù)和時(shí)滯兩參數(shù),當(dāng)反饋增益系數(shù)和時(shí)滯都調(diào)節(jié)到最佳值時(shí),主系統(tǒng)振動(dòng)的振幅獲得了很好的減振效果。 本文的研究結(jié)果能夠?yàn)榕まD(zhuǎn)振動(dòng)系統(tǒng)的振動(dòng)控制提供一種新的減振方法，具有重要的理論研究?jī)r(jià)值，為時(shí)滯減振技術(shù)在扭轉(zhuǎn)振動(dòng)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(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：TB535

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