并分析了声辐射模态的数学和物理意义。
The physical characteristics and mathematical meaning of the radiation modes is analyzed.
声辐射模态表示了振动声源表面的辐射模式。
The acoustic radiation modes express the radiation patterns of a vibrating surface.
声辐射模态伴随系数与对应的辐射声功率成正比。
The adjoint coefficient of sound radiation modes is proportional to the corresponding sound radiation power.
以简支板为例，利用压电式传感器测量声辐射模态。
Based on the radiation modes, it is presented a piezoelectric sensor strategy with an example of simply supported rectangular panel.
实验结果表明这种声辐射模态传感器的设计是可行的。
The experimental results show that this new type of radiation mode sensor is available.
以简支矩形板为例，通过声辐射模态研究结构声辐射问题。
With an example of simply supported rectangular panel, this paper presents a new method for analysis of structure borne sound by radiation mode method.
以简支梁为例，通过声辐射模态研究简支梁声辐射的有源控制。
With an example of simply supported beam, it is presented to active control structure-borne sound by mean of radiation modes.
声辐射模态理论是有效的分析结构振动辐射声场性质的一种方法。
The theory of acoustic radiation modes is a effective method to analyze the behavior of sound field caused by the vibrating body.
文章以简支平板为例，通过声辐射模态研究结构声辐射的有源控制。
In this paper, with an example of simply supported rectangular panel, it is presented active of control structure borne sound radiation by means of radiation modes.
研究基于声辐射模态理论进行有源控制解耦中压电作动器的位置优化问题。
The location of optimization of piezoelectric actuator based on the theory of radiation modes in the active control decoupling is studied.
以简支平板为例，通过声辐射模态建立了弹性结构声辐射的有源主动控制策略。
Based on the radiation modes, it is presented an active control strategy for sound radiation from elastic structures with an example of simply supported rectangular panel.
由于在中、低频时，声辐射模态对应的辐射效率随着模态阶数的增加而迅速降低。
The radiation efficiency of the radiation modes falls off very rapidly with the increase of modes order at low frequency.
基于声辐射模态分析，建立了外部场压和结构表面振动速度之间关系的传递矩阵。
Based on the acoustic radiation mode analysis, the transfer matrix relating the pressure at every field point to normal component of surface velocity is formed.
基于声辐射模态分析，建立了外部场压和结构表面振动速度之间关系的传递矩阵。
The acoustic radiation resistance matrix is combined with the velocity vector on a vibration surface to predict the total sound power radiated from the structure.
声辐射模态和声场分布模态分别描述了复杂振动表面的辐射模式和声场的分布模式。
The acoustic radiation modes and the field distribution modes describe the radiation patterns of a complex vibrating surface and the field distribution patterns respectively.
声辐射模态伴随系数的获取是基于声辐射模态理论进行ASAC控制中的重要环节。
It is important in ASAC based on acoustic radiation modes to obtain adjoint coefficients of the radiation modes.
结果表明，研究结构在声辐射模态概念下的噪声特性是船舶降噪研究中的一条新途径。
Results showed that the research under the concept of the acoustic mode is significant in the efforts of reducing the noise level of ships.
研究发现在中、低频时，声辐射模态对应的辐射效率随着模态阶数的增加而迅速降低。
The radiation efficiency of the radiation modes falls off very rapidly with increasing modes order at low frequency.
提出一种用边界元方法与声辐射理论求解复杂结构的声辐射模态与声辐射效率的理论方法。
A theoretical method to solve acoustical radiation modes and acoustical radiation efficiency of complex structure by a boundary element method and acoustical radiation theory is posed in this paper.
以工程常见四端位移为零的振动板为例，提出一种新的压电式传感器的设计方法测量第一阶声辐射模态伴随系数。
With the examples of the pinned-pinned plate, a new piezoelectric sensor design is presented to measure the first adjoint coefficient of radiation mode.
在基于声辐射模态理论的结构声有源控制中，主导辐射模态的确定及抵消策略是至关重要的，它直接决定次级力源的优化布放及有源控制的效果。
In the active structural acoustic control based on radiation modes, the cancellation of the dominant radiation modes and determination of the arrangement of secondary forces are of virtual important.
以往的研究得出：只要四组作动器满足某种对称形式布置，就可以实现声辐射模态的有源控制解耦，但是满足对称性布置的四组作动器位置有无数个。
Previous researches have proposed that as long as four groups of actuators are arranged symmetrically, active control decoupling based on radiation modes can be achieved.
数值计算结果表明低阶模态对壳体声辐射起着主要作用。
Computation results show that the low order modes take main effect in sound radiation.
一种模态分析的方法引进声辐射问题的研究之中。
The model analysis approach is introduced into the acoustic radiation problems.
针对复杂振动表面的声辐射问题，提出一种模态分析方法。
For the acoustic radiation problems from a complex vibrating body surface, a model analysis approach is put forward.
此理论将声场表示成各种共振再辐射模态的叠加，从振动的角度揭示声-振耦合机理。
The theories express the sound fields by a superposition of various resonance reradiation modes and reveal the vibro-acoustic coupling mechanism in viewpoint of vibration.
考虑到不同损伤存在形式，计算分析了损伤对振动频率、模态以及声辐射特性的影响。
Influences of various types of damages on natural frequencies, vibration modes, acoustic radiation power and directivity of sound are studied.
声辐射行为可用辐射模态和声场分布模态展开表示。
The radiation behavior of the vibrating surface can be expressed by expansions of the radiation modes and the field distribution modes.
结果表明：（1）圆板的模态声辐射效率在全频段内大体呈现随着振动频率的增高而增大的特点；
The results show that (1) the modal radiation efficiency increases with the increasing of the frequency in the whole frequency range;
结果表明：（1）圆板的模态声辐射效率在全频段内大体呈现随着振动频率的增高而增大的特点；
The results show that (1) the modal radiation efficiency increases with the increasing of the frequency in the whole frequency range;
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