In order to accurately and rapidly identify the vibration characteristic parameters of nonlinear stiffened plate structure,Rayleigh-Ritz is used for modeling.First,the stiffened plate is divided into plate and stiffeners and solved the deformation energy and kinetic energy of plate by the boundary conditions of four edges.The plate is considered to be geometrically nonlinear,and the stiffeners are taken as Euler beams to solve the deformation energy and kinetic energy.Then,natural frequency of stiffened plate is solved by Rayleigh-Ritz method.Finally,stiffened plate structure in the laboratory is selected as the research object,results from Rayleigh-Ritz method calculation are compared with ANSYS and the swept frequency method results.Results show that the correction of.The results show that the solution can be correct,which lay a good foundation for the follow-up of nonlinear active control experiment.%为了准确、快速地识别非线性加筋板结构的振动特性参数,提出应用瑞利-里兹法建模.首先将加筋板分为平板与加筋条,通过四边固定的边界条件,求解平板的变形能与动能.考虑到板的非线性,加筋条按Euler梁单元处理,并求出变形能与动能;然后利用瑞利-里兹法求解结构的固有频率,最后选择实验室加筋板结构为研究对象.通过ANSYS和实验扫频的方法,对瑞利-里兹法的计算结果进行验证.结果表明,该方法推导结果能够很好地与ANSYS及实验结果吻合,从而为后续的非线性振动主动控制实验奠定良好基础.
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