An efficient method for approximating resonance curves of weakly-damped nonlinear mechanical systems

作者：Foerster Alwin; Krack Malte^*

来源：Computers & Structures, 2016, 169: 81-90.

DOI：10.1016/j.compstruc.2016.03.003

• Nonlinear vibrations
• Locus of resonances
• Backbone curve
• Direct parametric analysis
• Harmonic balance
• Detached branches

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.

• 出版日期2016-6