Fully Analytical Indirect-HBM for High-Dimensional Locally Nonlinear Systems: Periodic Solutions, Frequency-Response Curves, and Backbone Curves
This paper develops a fully analytical Indirect-Harmonic Balance Method that overcomes the curse of dimensionality in high-dimensional locally nonlinear systems by deriving closed-form frequency response and backbone curves through the symbolic analysis of Input- and Coup-FRFs, thereby providing a rigorous framework to reveal intrinsic nonlinear vibration mechanisms.