The principal resonance response of a Duffing oscillator subject to a random narrow-band excitation with delayed feedback is investigated in this paper.

Research on primary resonance and bifurcation of soil-nonlinear structure interaction system;

By means of the averaging method for nonlinear vibration analysis,the amplitude-frequency response bifurcation equation of primary resonance is obtained and its singularity is analyzed.

Based on multiple scales method for nonlinear vibration analysis,the first approximation solutions and their corresponding steady state solutions to the primary resonance system were obtained.

Analysis of main resonance of drive shaft with rigid multi-supports;

The maximum amplitude,stability and amplitude jump of main resonance describe the primary characters of a drive shaft.

An investigation of sinusoidal excited was studied for the forced vibration of a single-degree-of-freedom system;the first-order approximate solution to the main resonance was obtained by the average.

The non-linear principal resonance of a conductive beam plate in a magnetic field subjected to some mechanical loadings is studied.

The principal resonance of a second-order stochastic oscillator under combined harmonic and random parametric excitations is investigated.

Two degree of freedom principal resonance of generator end winding is studied when the clamping plates are loose.