Active structure acoustic control ( asac ) is the leading field in the area of vibration and noise control . based on the most current academic and experiment results of domestic and overseas in asac , modern robust control theory ( h _ control theory ) and modern hydrokinetics theory 、 solid dynamics theory are used to build the control model of asac in this thesis . and the h _ control experimental system is build based on modern signal processing technology and compter technology 本文在国内外最新的asac理论研究与实验成果的基础上,首次将现代鲁棒控制理论( h _控制理论)与现代流体动力学、固体动力学理论相结合,建立了结构振动声辐射主动控制模型,提出了设计鲁棒h _控制器的新方法,并采用现代信号处理技术、计算机技术建立了结构振动声辐射鲁棒h _控制实验装置,进行了实验研究。
In this dissertation , the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory , method and the application technique , based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem . the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced , based on the wave propagation theorem ; the arising of the non - unique solutions , which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem , is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples 第二章在声波动理论基础上，详细地推导出对应于无限域和半无限域的外部振动声辐射问题的边界积分方程计算公式；根据fredholm积分理论，对利用边界积分方程计算振动声辐射问题过程中解的非唯一性的产生进行了分析和证明；改进了chief法以提高其克服解的非唯一性的有效性和可靠性；对不同条件下奇性系数的计算、强奇性积分的收敛性及其在变量替换时与普通积分的差异性、不同阶奇性积分的计算、数值求积分等进行了研究；开发了三次样条改进chief法计算软件，并通过算例考核了该方法在特征波数处克服解的非唯一性的有效性和在保证计算精度的前提下实现剖分粗化以提高计算效率的可行性。
The new method of design robust h _ asac controller with mixed uncertainty is presented . the main ideal of the new method is as follows : the reduced modals are taken as additional disturbance for system , the original problem is transformed into the problem of robust performance design for the parameter uncertain system . then the parameter uncertain problem is reduced to the standard h _ control problem to solve 2 .首次基于鲁棒h _控制理论,提出了设计具有复合摄动的结构振动声辐射系统鲁棒h _控制器的新方法,即:通过将未建模动态作为系统的附加干扰,把复合摄动问题的鲁棒性能设计问题转化为参数不确定系统的鲁棒性能设计问题,然后将参数不确定问题变化为标准h _控制问题求解。
A new kind of numerical method , the statistical distributed source boundary point method ( sdsbpm ) , used to calculate the acoustic radiation problem caused by the random vibrating body is presented ; a test for the effectiveness of the sdsbpm is carried out on the aspects of its calculation precision , adaptation to the geometric shape of vibrating body as well as its ability to overcome the non - uniqueness problem through various examples with different boundary shapes and different boundary value distributions 第四章提出了一种新型的随机振动声辐射计算方法?统计分布源边界点方法；通过诸多不同边界曲面和不同边界量分布的随机振动声辐射算例，从计算精度、对振动体表面几何形状的适应性以及克服解的非唯一性等方面，对统计分布源边界点方法的有效性进行了考证。
The formulation for the error analysis of acoustic radiation problem calculated by the boundary point method ( bpm ) is put forward ; the physical explanation of the boundary point analysis of the acoustic radiation problem is given ; the influence of the particular solution on the calculation stability of the bpm is studied ; the etthanced volume source boundary point method ( evsbpm ) is presented ; a test for the effectiveness of the evsbpm is carried out on the aspects of its calculation precision , calculation speed , calculation stability , adaptation to the geometric shape of vibrating body as well as its ability to overcome the non - uniqueness problem through various examples with different boundary shapes and different boundary value distributions 第三章导出了边界点方法分析振动声辐射问题的误差估计理论公式，揭示了边界点方法分析振动声辐射问题的物理本质；研究了特解场的局部特性对边界点方法的数值稳定性的影响；改进了现有的特解场构造方法，提出了改进体积源边界点方法；通过诸多不同边界曲面和不同边界量分布的声辐射算例，从计算精度、计算速度、计算稳定性、对振动体表面几何形状的适应性以及克服解的非唯一性等方面，对改进体积源边界点方法的有效性进行了考证。
