In this study, the effect of crack on free vibration of a large deflected cantilever plate, which forms the case of a pre-stressed curved plate, is investigated. A distributed load is applied at the free edge of a thin cantilever plate. Then, the loading edge of the deflected plate is fixed to obtain a pre-stressed curved plate. The large deflection equation provides the non - linear deflection curve of the large deflected flexible plate. The thin curved plate is modeled by using the finite element method with a four-node quadrilateral element. Three different aspect ratios are used to examine the effect of crack. The effect of crack and its location on the natural frequency parameter is given in tables and graphs. Also, the natural frequency parameters of the present model are compared with the finite element software results to verify the reliability and validity of the present model. This study shows that the different mode shapes are occurred due to the change of load parameter, and these different mode shapes cause a change in the effect of crack.

在这项研究中，研究了裂纹对大挠曲悬臂板自由振动的影响，该板形成了预应力弯曲板的情况。在薄悬臂板的自由边缘施加分布载荷。然后，固定挠曲板的加载边，得到预应力弯曲板。大挠度方程提供了大挠度挠性板的非线性挠度曲线。薄弯曲板使用有限元方法与四节点四边形单元建模。使用三种不同的纵横比来检查裂纹的影响。裂纹及其位置对固有频率参数的影响在表格和图表中给出。还，将本模型的固有频率参数与有限元软件结果进行对比，验证了本模型的可靠性和有效性。研究表明，由于载荷参数的变化会产生不同的振型，而这些不同的振型会引起裂纹效应的变化。