任意板及耦合结构能量传递的功率流有限元分析
发布时间：2019-05-12 03:45
【摘要】：机械结构的振动与噪声问题已成为当今机械制造业面临的一个重要难题。由于振动与噪声问题不仅影响产品的机械强度和寿命,而且对生产者和消费者也会造成心理和生理上的不适,因此,如何采用合理和高效的方法进行减振降噪成为行业内的当务之急,由此对这一问题的研究也具有重大实用价值。本论文在国家自然科学基金“基于柔性变胞机构的精密设备多维振动的主动控制研究”(51275275)和山东省优秀中青年科学家科研奖励基金“基于柔性变胞机构的机载精密设备的振动主动控制研究”(BS2010ZZ006)的资助下,基于合作项目“高速列车动车组振动与噪声的仿真与分析”来研究结构的振动问题。由于与传统有限元方法和统计能量法相比,功率流有限元法(PFFEM)在分析结构的宽频振动问题方面具有很大的优势,因此本论文以功率流有限元法为技术手段,从能量的角度研究结构的振动现象。主要研究内容和创新点包括以下几个方面：(1)本文详细给出了薄板结构中弯曲波、面内波(纵波与剪切波)的振动控制方程,推导了薄板在x、y、z三个方向上的振动位移,为后续计算耦合结构的能量传递系数提供理论支持。同时基于能量平衡控制微分方程,采用功率流有限元法对薄板结构的弯曲振动进行了数值仿真。(2)基于能量平衡控制微分方程,根据功率流有限元法理论,运用传统有限元中的等参数单元分析方法,结合Delaunary三角单元划分算法分别对1/4圆盘结构,完整圆盘结构以及圆板结构的弯曲振动进行了数值仿真和分析,同时联合ANSYS与MATLAB软件对任意形状的薄板结构进行了功率流有限元分析,为存在曲边及不规则边界的结构振动问题提供理论指导和分析方法；另外对传统有限元法与能量有限元法的结果进行了分析对比。(3)计算了三种波分别入射情况下的L型耦合板的能量传递系数；同时讨论了板厚、外界激励频率以及波的入射角变化对L型耦合板能量传递系数的影响,分别给出了各能量传递系数随各参数变化而变化的规律图,得出了在采用功率流有限元法等能量方法研究耦合结构高频振动时,必须考虑波型转换波现象,计入面内波的影响,否则将会导致分析结果的不准确甚至是错误的这一结论；同时也分析了任意夹角耦合板结构的各波型能量传递系数随耦合角度变化的规律。(4)基于计算的任意夹角耦合板结构能量传递系数,利用功率流有限元法对任意角度耦合板结构振动问题进行了数值仿真分析,同时对比了大角度耦合结构与平板结构的振动响应,得出他们近似等效的结论；这些分析结果为工程中类似结构的振动问题提供理论指导。
[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，
本文编号：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，
本文编号：2475080
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