中文摘要：

针对现有弹性板面内振动特性研究尚不充分，本文基于能量原理建立了弹性板结构面内模态预报模型，并开展了相关实验测量进行验证分析。采用二维改进傅里叶级数方法对弹性板结构面内振动耦合位移场函数进行构建，结合瑞利－里兹程式进而得到弹性约束边界条件下矩形板结构面内自由振动系统特征矩阵方程。结果表明：所得弹性板结构面内振动模态参数与文献数据吻合良好，验证了本模型的正确性与可靠性。随后，搭建了相关实验台架，对弹性板结构面内振动模态参数进行测试，并对实验环节可能引起的偏差因素进行了讨论分析。

英文摘要：

The current studies of the in-plane vibration of an elastic plate are not sufficient.Therefore, this paper proposes a prediction model of in-plane modal characteristics of elastic plates based on the energy principle.The relevant experimental measurement is also provided and performed for the verification analysis.A two-dimensional improved Fourier series method is employed to construct the two in-plane vibrating displacement functions of elastic plate structure.The system characteristic equation in matrix form is obtained in combination with the Rayleigh-Ritz procedure.Numerical results showed that the data from this model are in agreement with those calculated by other approaches in open literature.The correctness and reliability of the model is validated.Subsequently, the experi-mental study is carried out and the results coincide with those measured data.In this paper, discussions are also carried out about some possible factors that may affect the measurement process.