论文标题
预测和验证两种受摩擦影响的强烈调制的强制反应
Prediction and validation of the strongly modulated forced response of two beams undergoing frictional impacts
论文作者
论文摘要
我们考虑两次在自由端受到摩擦影响的悬臂横梁。梁设计为具有相似的几何形状,因此它们具有独特但紧密的固有频率。在以高频基本弯曲模式的基本共振附近的谐波碱基激发下,该系统显示出强烈调制的非周期性响应。这项工作的目的是分析在多大程度上可以预测非周期性泡沫影响动力学。为此,我们使用了最近开发的建模和仿真方法。该方法依赖于组件模式合成,无质量边界概念和适当的时间步进方案。单侧接触和干摩擦被建模为设定的定律,并在空间分辨的接触区域内当地强加。线性模型更新是根据在该制度中确定的固有频率和阻尼比进行的,而不会产生影响。比较了对前向和向后的正弦激发的稳态响应的非线性模拟与测量相比。结果非常吻合,尤其是鉴于与接触区域中观察到的材料损失相关的不确定性以及夹紧的非线性行为。
We consider two cantilevered beams undergoing frictional impacts at the free end. The beams are designed to be of similar geometry so that they have distinct but close natural frequencies. Under harmonic base excitation near the primary resonance with the higher-frequency fundamental bending mode, the system shows a strongly modulated non-periodic response. The purpose of this work is to analyze to what extent the non-periodic vibro-impact dynamics can be predicted. To this end, we use a recently developed modeling and simulation approach. The approach relies on component mode synthesis, the massless boundary concept and an appropriate time stepping scheme. Unilateral contact and dry friction are modeled as set-valued laws and imposed locally within the spatially resolved contact area. A linear model updating is carried out based on the natural frequencies and damping ratios identified in the regime without impacts. The nonlinear simulation of the steady-state response to forward and backward stepped sine excitation is compared against measurements. The results are in very good agreement, especially in the light of the uncertainty associated with the observed material loss in the contact region and the nonlinear behavior of the clamping.