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推导了在初级力源和次级力源共同作用下的弹性结构振动声辐射公式，对封闭空间中的有源结构声控制（ＡＳＡＣ）建立了有源力最优控制模型。模拟实验研究了弹性结构由力源激励所产生的封闭空间声场的特点、有源控制力向量的位置、幅值和次级力源个数的选择等问题。结果表明，弹性结构在力源激励下的封闭声场，是由激励力大小、结构模态和空腔模态间的耦合决定的；对于单模态振动声辐射，应选取振幅最大处作为次级力源的位置，同时优化力的大小；另外，合理选取次级力源个数可有效控制多模态振动声辐射。这些结论为建立封闭空间中结构声辐射有源力控实验系统提供了理论基础。
The formula of vibrational sound radiation of elastic structure under primary and secondary force sources is deduced and the active force optimal control model is established for active structure acoustic control (ASAC) in enclosed space. Simulation experiments are carried out to study the characteristics of closed space acoustic field caused by force excitation of elastic structures, the selection of the position and amplitude of active control force vectors and the number of secondary force sources. The results show that the closed acoustic field of the elastic structure under the excitation of a force source is determined by the coupling between the size of the excitation force, the structure mode and the cavity mode. For the single mode vibrational sound radiation, the maximum amplitude should be chosen as the secondary The position of force source, and the size of optimization force. In addition, the reasonable selection of the number of secondary force sources can effectively control the multi-mode vibration sound radiation. These conclusions provide a theoretical basis for the establishment of an experimental system of active force control of structural acoustic radiation in an enclosed space.