CAJ | 학술논문

利用Matlab软件对矩形薄板结构振动进行了有限元分析，通过瑞利积分求出了板的表面声压，利用辐射模态理论研究了不同频率下结构声辐射模态形状的变化规律。结果表明：基于Matlab软件编写的程序能快速方便地得到薄板结构的固有频率，结果能较好地收敛并达到满意的精度；当激励频率小于第1阶频率时，其辐射声压随激励频率的增加而逐渐增大；辐射模态在低频时具有形状相似性，结构的各阶辐射模态在x-y平面内呈对称或反对称，且不随频率的变化而改变。
이용Matlab연건대구형박판결구진동진행료유한원분석，통과서리적분구출료판적표면성압，이용복사모태이론연구료불동빈솔하결구성복사모태형상적변화규률。결과표명：기우Matlab연건편사적정서능쾌속방편지득도박판결구적고유빈솔，결과능교호지수렴병체도만의적정도；당격려빈솔소우제1계빈솔시，기복사성압수격려빈솔적증가이축점증대；복사모태재저빈시구유형상상사성，결구적각계복사모태재x-y평면내정대칭혹반대칭，차불수빈솔적변화이개변。
The vibration of the rectangular lamina was analyzed by means of a program developed within MATLAB.Acoustic pressure was calculated through Rayleigh Integral,and by the theory of ra-diation mode.Different acoustic modes under different frequency were calculated and the distribution law was discussed.The results show that the program based on the Matlab software can be used to cal-culate conveniently and efficiently the natural frequency of the plate.The radiation pressure of the plate surface increases with the excitation frequency under low-frequency conditions.Radiation modes have the shape similarity in low-frequency.Each order radiation mode of structure was symmetry or anti-symmetry in x-y plane,and didn’t change with the alteration of frequency.