摘要
应用经典叠层板理论(CPT)、一阶剪切板理论(FSDPT)和三阶剪切板理论(TSDPT)对四边简支条件下对称蜂窝夹层板的弯曲振动进行了分析.弯曲振动分析中将蜂窝芯层等效为一正交异性层,其等效弹性参数由修正后的Gibson公式获得,推导了蜂窝夹层板在四边简支条件下的固有频率方程.经具体算例表明,对于铝蜂窝夹层板固有频率的计算,三阶剪切板理论的计算精度要高于经典叠层板理论和一阶剪切板理论.
The free flexural vibration of symmetric honeycomb sandwich panel with 4 sides simply supported is analyzed by CPT （classical plate theory）, FSDPT （first-order shear deformation plate theory） and TSDPT （third-order shear deformation plate theory）. In the analysis the honeycomb core of cells is regarded equivalently as a layer of orthotropic material whose equivalent elastic parameters are determined by the modified Gibson＇ s formula to deduce the equation of natural frequency of the sandwich panel. As shown by an example, the calculation of natural frequency of an aluminum honeycomb panel by use of TSDPT is higher accuracy than using either CPT or FSDPT.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第11期1616-1619,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(50527402)
关键词
蜂窝
夹层板
固有频率
弯曲振动
正交异性
honeycomb
sandwich panel
natural frequency
flexural vibration
orthotropic
