I will perform nonlinear vibration dynamics analysis

Hello, specialize in solving various nonlinear problems, using different methods to solve nonlinear equations, and addressing other dynamic issues.

Our services include but are not limited to:

(1) Incremental Harmonic Balance Method (IHB), Harmonic Balance Method (HBM), Average Method, Newton Iteration Method, Runge-Kutta Method, Newmark-beta Method, Multiscale Method, and other methods.

(2) Free vibration, forced vibration, self-excited vibration, parameter vibration; primary resonance, superharmonic resonance, subharmonic resonance, and combination resonance.

(3) Nonlinear vibration isolation, nonlinear gear dynamics, nonlinear energy sink (NES), energy harvesting, pipeline flow, fluid-structure interaction, plate-shell theory, piecewise-linear analysis, stability analysis, Poincaré section, phase diagrams, dynamic bifurcation, chaos.

(4) Analytical and numerical nonlinear dynamic

Perturbation method: Harmonic balance method (HBM), averaging method (AM), and method of multiple scales.

Jumping phenomenon, bifurcation.

Stability and instability region.

Amplitude frequency curve.

Amplitude frequency response.

Base excitation. Forced excitation.

displacement transmissibility