论文标题
一种有效的方法，用于近似弱阻尼非线性机械系统的共振曲线
An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems
论文作者
论文摘要
提出了一种方法，用于追踪参数变化下的频率响应中特定峰的轨迹。它适用于和谐强迫非线性机械系统的周期性稳态振动。它在频域中运行，其核心思想是在强迫和响应之间假设一个恒定的相位滞后。该方法已通过三级振荡器进行验证，该振荡器具有立方弹簧和带有裹尸布接触的叶片磁盘。该方法提供了卓越的计算效率，但仅限于弱阻尼系统。最后，突出显示了揭示隔离溶液分支的能力。
A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates in the frequency domain and its central idea is to assume a constant phase lag between forcing and response. The method is validated for a two-degree-of-freedom oscillator with cubic spring and a bladed disk with shroud contact. The method provides superior computational efficiency, but is limited to weakly-damped systems. Finally, the capability to reveal isolated solution branches is highlighted.
