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机构地区:[1]东北大学理学院,沈阳110004 [2]东北大学机械工程与自动化学院,沈阳110004
出 处:《机械工程学报》2008年第5期165-169,共5页Journal of Mechanical Engineering
基 金:国家自然科学基金(59835050)。
摘 要:应用经典叠层板理论、一阶剪切板理论和三阶剪切板理论分析了四边简支条件下对称蜂窝夹层板的弯曲振动。将蜂窝芯层等效为一正交异性层,等效弹性参数由修正后的GIBSON公式得出。具体算例表明,经典叠层板理论和一阶剪切板理论不适合用于蜂窝夹层板的振动分析。应用三阶剪切板理论研究了蜂窝夹层板板厚、芯层板厚及胞元角度对弯曲振动频率的影响,并绘出相应的曲线图,该曲线图对蜂窝夹层板的工程应用具有指导意义。The flexural vibration of symmetric honeycomb panels having simple support boundary conditions is investigated by using the classical plate theory, ftrst-order shear deformation plate theory, third-order shear deformation plate theory. The honeycomb core of cells is modeled as a layer of orthotropic material whose physical and mechanical properties are determined by using the corrected Gibson's formula. The comparative studies conducted on aluminum honeycomb panels indicate that both the classical and first-order shear deformation plate theories are inadequate for the flexural vibration of honeycomb panels. Using the Reddy third order shear deformation plate theory, the effects of panel thickness, core thickness and cell angle on flexural vibration of symmetric honeycomb panels are investigated and the corresponding curve figure is drawn. The curve figure is instructive to application of honeycomb panels in engineering.
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