A nonlinear flexural plastic hinge developing at the base of the cantilever wall changes its dynamic properties. In such systems, contribution of higher modes to the total shear force response after yielding may be underestimated when they are assumed to prone same or some nonlinearity as the first mode. In order to calculate the modal properties of a cantilever walls developing a plastic hinge at the base after yielding, the fundamental analytical beam formulation is revisited, and by applying special boundary condition reflecting the nonlinear deformation at the fixed base, that is, plastic hinge rotation, a novel formulation that is able to track changes in the modal properties of yielding cantilever shear wall is derived. The modal properties are effectively calculated depending on the level of nonlinear plastic rotation demand. Derived formulation can be very useful in the analysis of higher mode effects on shear wall systems, where the essential understanding of dynamic shear force amplification in cantilever wall system lays in the variation of the systems dynamic modal properties extending from linear to nonlinear range. A mode superposition method using equivalent nonlinear modal single‐degree‐of‐freedom (SDOF) systems is presented for the estimation of maximum shear force.

中文翻译：

---

可视化高模对屈服悬臂壁的影响的分析方法

在悬臂壁底部形成的非线性挠性塑料铰链会改变其动态特性。在这样的系统中，当假定较高模态与第一模态具有相同或某种非线性时，可能会低估较高模态对屈服后总剪力响应的贡献。为了计算屈服后在基础上展开塑料铰链的悬臂墙的模态特性，重新研究了基本的分析梁公式，并通过应用反映固定基础上非线性变形的特殊边界条件，即塑料铰链旋转，得出了一种新的配方，该配方能够跟踪屈服悬臂剪力墙模态特性的变化。根据非线性塑性旋转需求的水平，可以有效地计算模态性质。派生的公式对于分析剪力墙系统的更高模态效果非常有用，其中对悬臂壁系统中动态剪力放大的基本理解在于系统动态模态特性从线性范围扩展到非线性范围的变化。提出了一种使用等效非线性模态单自由度（SDOF）系统的模式叠加方法来估计最大剪力。