梯形和三角形波纹夹芯板的声振特性研究

Vibro-acoustic characteristics of trapezoidal and triangular corrugated sandwich panels

研究了梯形和三角形两种类型波纹夹芯板的声振特性。将波纹芯层等效为各向异性均质体,采用双曲正切抛物线混合变形理论(HTPSDT)建立了四边简支条件下波纹夹芯板的动力学方程和简谐声压激励下的声振耦合控制方程。利用纳维法和流固耦合界面条件进行求解,计算了梯形和三角形波纹夹芯板的固有频率和隔声量,并与有限元模拟结果进行对比,验证了理论模型的正确性,比较了两种波纹夹芯板的振动特点和隔声性能。讨论了波纹芯层结构参数变化对梯形和三角形波纹夹芯板振动和隔声特性的影响。结果表明,波纹倾角、波纹壁厚、波纹芯层高度对梯形和三角形波纹夹芯板的声振特性有着重要的影响,而且对三角形波纹夹芯板的影响更为显著。

The vibro-acoustic characteristics of two types of corrugated sandwich panels are studied,which are trapezoidal corrugat-ed sandwich panel and triangular corrugated sandwich panel.According to the shear effect of the sandwich plate,the dynamic equa-tion of the sandwich plate with four sides simply supported and the vibro-acoustic coupling control equation under the excitation of the simple harmonic pressure are established by using the hyperbolic tangent parabola deformation theory(HTPSDT).The natural frequency of the free vibration of the corrugated sandwich panel and the sound insulation under the sound pressure are obtained by using the Navier method and the fluid-solid coupling interface condition.Based on the established theoretical models,the natural frequency and the sound insulation of trapezoid and triangular corrugated sandwich panels are calculated.By comparing with the fi-nite element simulation results,the correctness of the theoretical model is verified.The vibration characteristics and sound insula-tion performance of the two types of corrugated sandwich panels are also compared.Finally,the effects of the structural parameters of the corrugated core on the vibration and sound insulation characteristics of trapezoid and triangular corrugated sandwich panels are discussed.The results show that the angle between the corrugation and the panel,the thickness of the corrugated wall and the height of the corrugated core have an important influence on the vibro-acoustic characteristics of trapezoid and triangular corrugated sandwich panels.The influence on the triangular corrugated sandwich panels is more obvious.