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对具有分布质量的层合板进行了强迫振动分析。分析了均布P_0e~(iω)ex~t激励作用下矩形组合板的横向动力响应。依据第三阶剪切变形理论对简支矩形板应用了Hamilton法则。采用双重Fourier级数对板位移进行假定。同时说明了质量部分的尺寸和位置,频率和质量比对板的影响。将分析结果与其他文献对无加载板的自由振动的分析结果进行对比,分析表明:具有很好的一致性。
Forced vibration analysis of laminated plates with distributed quality. The transverse dynamic response of rectangular composite plate subjected to uniform P_0e ~ (iω) ex ~ t excitation is analyzed. According to the third-order shear deformation theory, Hamilton’s rule is applied to simply supported rectangular plates. The assumption of plate displacement is based on the double Fourier series. Also shows the mass part of the size and location, frequency and quality than on the board. The results of the analysis are compared with the results of other literatures on the analysis of the free vibration of the unloaded plate. The analysis shows that: There is a good consistency.