| Vibration tools are widely used in production,which bings great convenience to people’s lives.The vibration generated by the vibrating tool is transmitted to the operator through the handle,which is called hand-transmitted vibration.Exploring the response of hand-transmitted vibration to the arm system is of great significance and value.This can reduce national and personal economic losses and protect the health of workers.The arm system is a system composed of skin,muscles,etc.,with non-linear factors.Taking hands and vibration tools as objects,establish nonlinear vibration equations for single-degree-of-freedom and multi-degree-of-freedom systems,and analyze their vibration characteristics with multi-scale methods.The theoretical analysis and numerical calculation of the single-degree-of-freedom system are carried out to study the main resonance,1/3 subharmonic resonance,third superharmonic resonance and random vibration of the system under deterministic periodic excitation.The main resonance results show that it is a weakly nonlinear system,and the numerical analysis is consistent with the theoretical analysis.Analysis of the 1/3subharmonic resonance shows that there is no 1/3 subharmonic under the actual physical parameters.Analysis of the third superharmonic resonance and discussion External excitation and system damping affect the system amplitude.Analyzing the second-order moment of the system under random excitation and the main resonance of the system under the corresponding periodic excitation,it is found that the second-order moment has the same characteristics as the main resonance.The main resonance,internal resonance and stochastic resonance under narrow-band random excitation of multi degree of freedom system are analyzed.The amplitude frequency equation and second-order moment equation of the system are obtained by multi-scale method.The research results have reference value for exploring the response characteristics of hand-transmitted vibration to arm vibration diseases.Figure 85;Table 0;Reference 59... |