本文關(guān)鍵詞： 載流管 非線性 動(dòng)柔度法 增量平衡諧波法　出處：《華中科技大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：載流管在船舶與海洋工程、核電及飛機(jī)等現(xiàn)代工業(yè)中有著廣泛的應(yīng)用,其振動(dòng)問(wèn)題因涉及到流固耦合而備受關(guān)注,成為研究的熱點(diǎn)。本文運(yùn)用動(dòng)柔度法及增量平衡諧波法對(duì)載流管的振動(dòng)特性進(jìn)行研究,其中線性振動(dòng)部分主要針對(duì)工程中較難處理的帶阻尼彈性支撐和復(fù)雜幾何走向管路系統(tǒng),非線性振動(dòng)部分則主要涉及到管路振動(dòng)機(jī)理方面研究。具體內(nèi)容如下:首先,根據(jù)哈密頓原理推導(dǎo)了管路振動(dòng)的微分方程,在此基礎(chǔ)上簡(jiǎn)單介紹了動(dòng)柔度法及增量平衡諧波法,給出了其具體的求解步驟。其次,應(yīng)用動(dòng)柔度法對(duì)載流管包括直管、曲管及三維復(fù)雜管路系統(tǒng)的線性振動(dòng)特性進(jìn)行了研究。載流直管方面給出了不同邊界下載流直管振動(dòng)特性并與實(shí)驗(yàn)進(jìn)行了對(duì)比,驗(yàn)證了公式推導(dǎo)的正確性,另外討論了加入彈性邊界條件后管路振動(dòng)情況,給出了中間彈性支承下三跨載流直管的計(jì)算結(jié)果;載流曲管方面,給出了兩端固支及一端固支一端彈性支承下管路振動(dòng)特性,并對(duì)結(jié)果進(jìn)行了分析,討論了彈性支承剛度對(duì)管路模態(tài)的影響;復(fù)雜載流管系統(tǒng)方面研究了一段管路系統(tǒng)的振動(dòng)特性,給出了不同速度下該管路模態(tài)變化情況及幅值頻響函數(shù)的變化規(guī)律。上述計(jì)算表明動(dòng)柔度法適合處理各種支撐邊界條件下的復(fù)雜管路振動(dòng)特性計(jì)算,特別是針對(duì)彈性支承有其獨(dú)有的方便之處。最后,應(yīng)用增量平衡諧波法分別研究了兩端簡(jiǎn)支及懸臂載流直管路的非線性振動(dòng)問(wèn)題。采用前文介紹的非線性振動(dòng)模型并進(jìn)行Galerkin離散成兩項(xiàng)諧波項(xiàng),分別計(jì)算了流速、質(zhì)量比、非線性約束剛度及質(zhì)量點(diǎn)等對(duì)系統(tǒng)振動(dòng)幅頻特性曲線影響,得到了規(guī)律性的結(jié)論,發(fā)現(xiàn)了振動(dòng)中的幅值突變現(xiàn)象,該工作為增量平衡諧波法應(yīng)用于載流管非線性振動(dòng)方面提供了參考和依據(jù)。
[Abstract]:The fluid-carrying pipe has been widely used in modern industries such as ship and ocean engineering, nuclear power and aircraft, and its vibration problem has attracted much attention because of its fluid-solid coupling. In this paper, the dynamic flexibility method and the incremental balance harmonic method are used to study the vibration characteristics of the current-carrying tube, in which the linear vibration is mainly aimed at the difficult engineering elastic support with damping and the complex geometric alignment pipeline system. The nonlinear vibration is mainly concerned with the mechanism of pipeline vibration. The main contents are as follows: firstly, the differential equation of pipe vibration is derived according to Hamiltonian principle, and the dynamic flexibility method and incremental balance harmonic method are introduced briefly. The concrete solving steps are given. Secondly, the dynamic compliance method is applied to the flow tube including the straight tube. The linear vibration characteristics of curved tube and three dimensional complex pipe system are studied. The vibration characteristics of straight tube with different boundary download flow are given and compared with the experiment, which verifies the correctness of the formula. In addition, the vibration of the pipe with elastic boundary condition is discussed, and the calculation results of the three-span straight pipe under the intermediate elastic support are given, and the vibration characteristics of the pipe under the elastic support at the two ends and the elastic support at one end are given. The results are analyzed, and the influence of elastic support stiffness on the pipe mode is discussed. The variation of the modal and the frequency response function of the pipeline under different velocities are given. The above calculation shows that the dynamic flexibility method is suitable for the calculation of the vibration characteristics of complex pipes under various bracing boundary conditions. Especially for elastic support has its unique convenience. Finally, In this paper, the problem of nonlinear vibration of straight pipe with simple support and cantilever carrying current is studied by means of incremental equilibrium harmonic method. The nonlinear vibration model described above is adopted and Galerkin is discretized into two harmonic terms, and the flow velocity and mass ratio are calculated, respectively. The effects of nonlinear constrained stiffness and mass points on the vibration amplitude-frequency characteristic curves of the system are obtained, and a regular conclusion is obtained, and the sudden change of amplitude in vibration is found. This work provides a reference and basis for the application of the incremental balance harmonic method to the nonlinear vibration of a current-carrying tube.
【學(xué)位授予單位】：華中科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：U173

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