任意板及耦合結構能量傳遞的功率流有限元分析
發(fā)布時間：2019-05-12 03:45
【摘要】：機械結構的振動與噪聲問題已成為當今機械制造業(yè)面臨的一個重要難題。由于振動與噪聲問題不僅影響產(chǎn)品的機械強度和壽命,而且對生產(chǎn)者和消費者也會造成心理和生理上的不適,因此,如何采用合理和高效的方法進行減振降噪成為行業(yè)內(nèi)的當務之急,由此對這一問題的研究也具有重大實用價值。本論文在國家自然科學基金“基于柔性變胞機構的精密設備多維振動的主動控制研究”(51275275)和山東省優(yōu)秀中青年科學家科研獎勵基金“基于柔性變胞機構的機載精密設備的振動主動控制研究”(BS2010ZZ006)的資助下,基于合作項目“高速列車動車組振動與噪聲的仿真與分析”來研究結構的振動問題。由于與傳統(tǒng)有限元方法和統(tǒng)計能量法相比,功率流有限元法(PFFEM)在分析結構的寬頻振動問題方面具有很大的優(yōu)勢,因此本論文以功率流有限元法為技術手段,從能量的角度研究結構的振動現(xiàn)象。主要研究內(nèi)容和創(chuàng)新點包括以下幾個方面：(1)本文詳細給出了薄板結構中彎曲波、面內(nèi)波(縱波與剪切波)的振動控制方程,推導了薄板在x、y、z三個方向上的振動位移,為后續(xù)計算耦合結構的能量傳遞系數(shù)提供理論支持。同時基于能量平衡控制微分方程,采用功率流有限元法對薄板結構的彎曲振動進行了數(shù)值仿真。(2)基于能量平衡控制微分方程,根據(jù)功率流有限元法理論,運用傳統(tǒng)有限元中的等參數(shù)單元分析方法,結合Delaunary三角單元劃分算法分別對1/4圓盤結構,完整圓盤結構以及圓板結構的彎曲振動進行了數(shù)值仿真和分析,同時聯(lián)合ANSYS與MATLAB軟件對任意形狀的薄板結構進行了功率流有限元分析,為存在曲邊及不規(guī)則邊界的結構振動問題提供理論指導和分析方法；另外對傳統(tǒng)有限元法與能量有限元法的結果進行了分析對比。(3)計算了三種波分別入射情況下的L型耦合板的能量傳遞系數(shù)；同時討論了板厚、外界激勵頻率以及波的入射角變化對L型耦合板能量傳遞系數(shù)的影響,分別給出了各能量傳遞系數(shù)隨各參數(shù)變化而變化的規(guī)律圖,得出了在采用功率流有限元法等能量方法研究耦合結構高頻振動時,必須考慮波型轉換波現(xiàn)象,計入面內(nèi)波的影響,否則將會導致分析結果的不準確甚至是錯誤的這一結論；同時也分析了任意夾角耦合板結構的各波型能量傳遞系數(shù)隨耦合角度變化的規(guī)律。(4)基于計算的任意夾角耦合板結構能量傳遞系數(shù),利用功率流有限元法對任意角度耦合板結構振動問題進行了數(shù)值仿真分析,同時對比了大角度耦合結構與平板結構的振動響應,得出他們近似等效的結論；這些分析結果為工程中類似結構的振動問題提供理論指導。
[Abstract]:The vibration and noise of mechanical structure has become an important problem in machinery manufacturing industry. Because vibration and noise problems not only affect the mechanical strength and life span of the product, but also cause psychological and physical discomfort to producers and consumers, How to adopt reasonable and efficient methods to reduce vibration and noise has become an urgent task in the industry, so the research on this problem is also of great practical value. In this paper, the National Natural Science Foundation of China "Research on Multi-dimensional Vibration Control of Precision equipment based on flexible variable Cell Mechanism" (51275275) and Shandong Outstanding Young and Middle-aged scientists Scientific Research Award Foundation based on flexible variable Cell Mechanism Supported by the active Vibration Control Research of Precision equipment (BS2010ZZ006), Based on the cooperative project "Simulation and Analysis of Vibration and noise of High Speed Train EMU", the vibration problem of structure is studied. Compared with the traditional finite element method and statistical energy method, the power flow finite element method (PFFEM) has great advantages in analyzing the broadband vibration of structures. In this paper, the power flow finite element method is used as the technical means. The vibration phenomenon of the structure is studied from the point of view of energy. The main research contents and innovations include the following aspects: (1) in this paper, the vibration control equations of bending wave and in-plane wave (longitudinal wave and shear wave) in thin plate structure are given in detail, and the thin plate in x, y, Z the vibration displacement in three directions provides theoretical support for the subsequent calculation of the energy transfer coefficient of the coupled structure. At the same time, based on the energy balance control differential equation, the bending vibration of thin plate structure is simulated by the power flow finite element method. (2) based on the energy balance control differential equation, according to the power flow finite element theory, the bending vibration of thin plate structure is simulated. The bending vibration of 1 鈮，
本文編號：2475080
[Abstract]:The vibration and noise of mechanical structure has become an important problem in machinery manufacturing industry. Because vibration and noise problems not only affect the mechanical strength and life span of the product, but also cause psychological and physical discomfort to producers and consumers, How to adopt reasonable and efficient methods to reduce vibration and noise has become an urgent task in the industry, so the research on this problem is also of great practical value. In this paper, the National Natural Science Foundation of China "Research on Multi-dimensional Vibration Control of Precision equipment based on flexible variable Cell Mechanism" (51275275) and Shandong Outstanding Young and Middle-aged scientists Scientific Research Award Foundation based on flexible variable Cell Mechanism Supported by the active Vibration Control Research of Precision equipment (BS2010ZZ006), Based on the cooperative project "Simulation and Analysis of Vibration and noise of High Speed Train EMU", the vibration problem of structure is studied. Compared with the traditional finite element method and statistical energy method, the power flow finite element method (PFFEM) has great advantages in analyzing the broadband vibration of structures. In this paper, the power flow finite element method is used as the technical means. The vibration phenomenon of the structure is studied from the point of view of energy. The main research contents and innovations include the following aspects: (1) in this paper, the vibration control equations of bending wave and in-plane wave (longitudinal wave and shear wave) in thin plate structure are given in detail, and the thin plate in x, y, Z the vibration displacement in three directions provides theoretical support for the subsequent calculation of the energy transfer coefficient of the coupled structure. At the same time, based on the energy balance control differential equation, the bending vibration of thin plate structure is simulated by the power flow finite element method. (2) based on the energy balance control differential equation, according to the power flow finite element theory, the bending vibration of thin plate structure is simulated. The bending vibration of 1 鈮，
本文編號：2475080
本文鏈接：http://sikaile.net/jixiegongchenglunwen/2475080.html
