CAJ | 학술논문

采用有限元与声辐射模态相结合方法研究两相材料薄板声辐射声功率，并分析结构声功率关于设计参数的灵敏度。应用有限元方法来处理结构的振动环节，将位移向量用振型的线性组合表示，用振型叠加法求解模态坐标得到位移向量从而求出结构的速度分布；在声辐射环节，采用声辐射模态展开从而求得声功率。将薄板声功率对设计参数求偏导，得到声功率灵敏度。以四边简支两相材料薄板为例，着重对声功率关于板密度和厚度的灵敏度进行了研究。
채용유한원여성복사모태상결합방법연구량상재료박판성복사성공솔，병분석결구성공솔관우설계삼수적령민도。응용유한원방법래처리결구적진동배절，장위이향량용진형적선성조합표시，용진형첩가법구해모태좌표득도위이향량종이구출결구적속도분포；재성복사배절，채용성복사모태전개종이구득성공솔。장박판성공솔대설계삼수구편도，득도성공솔령민도。이사변간지량상재료박판위례，착중대성공솔관우판밀도화후도적령민도진행료연구。
In this paper, the sound power and sound radiation sensitivity of bi-material thin plate is studied by using FEM and sound radiation mode method. On the aspect of the structure vibration solved by FEM, the displacement vector is regarded as a linear combination of the modals, and using modal superposition method solves the modal coordinates to get the displacement vector and the velocity distribution of the structure;on the aspect of sound radiation, the sound power is obtained by the expansion of the acoustic radiation modes. The sound radiation sensitivity is defined by the partial derivatives of sound radiation power with respect to design variables. Taken a simple supported bi-material thin plate as a simulation example, the sound power sensitivities to the distribution density and thickness of the plate are investigated.