复合材料简支板固有频率与振型分析

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The natural frequency and mode shapes of the fully simply supported composite plates are calculated and analyzed by using the layer - wise theory. The dynamic equation of simply supported composite plate is derived from the layer - wise theory. So as to ob- tain expressions of the natural frequency and vibration modal shape of the fully simply supported laminated plate. Firstly, Accuracy is analyzed. Secondly, the effect of length to thickness ratios, elastic modulus ratios, and viscoelastic damping on the natural frequencies is discussed respectively. Lastly, natural frequencies and modal shapes are investigated by the modal experiment method. The results show that the layer - wise theory is accurate to analyze natural frequency and modal shape of the simply supported composite plates.采用分层理论对四边简支复合材料板的固有频率和模态振型进行了理论计算及实验分析。利用分层理论推导出四边简支复合材料板动力方程，得到四边简支复合材料板自由振动的固有频率与振型的数学表达式。首先，对精确性进行了分析；其次，对纤维铺设角度、跨厚度比、弹性模量比以及阻尼等结构参数对固有频率的影响进行了讨论；最后，针对四边简支复合材料板的固有频率与模态振型进行了实验分析。结果表明，分层理论能较精确地分析、计算复合材料简支板的固有频率和振型。