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采用 Rayleigh- Ritz法初步计算了集中质量对四边简支边界条件下的矩形板振型的影响 ,由计算结果绘制了矩形板的前两阶振型 ,并采用有限元法与计算结果进行了对比。分析表明 ,附加质量能导致波形的不对称且此不对称的振型波形主要是由两相邻阶的模态耦合而成 ,为压电驱动中不对称波的形成与作用的进一步研究奠定了基础。
The Rayleigh-Ritz method is used to calculate the influence of the concentrated mass on the shape of the rectangular plate under the simple boundary conditions. The first two modes of the rectangular plate are plotted by the calculation results and compared with the finite element method . The analysis shows that the additional mass can lead to the asymmetry of the waveform and the asymmetric vibration waveform is mainly formed by the coupling of two adjacent modes. The further study on the formation and the role of the asymmetric wave in the piezoelectric drive lays the foundation basis.