Nonlinear dynamics of planetary roller screw mechanism

Area of Science:

• Mechanical Engineering
• Dynamics and Control Systems

Background:

• Planetary roller screw mechanisms feature synchronous meshing of gear and screw pairs.
• Understanding nonlinear dynamics is crucial for these mechanisms.

Purpose of the Study:

• To develop a comprehensive nonlinear dynamic model for planetary roller screw mechanisms.
• To analyze the system's nonlinear behaviors and stability under various conditions.

Main Methods:

• Incorporating time-varying meshing stiffness and transmission error into the dynamic model.
• Utilizing time and frequency domain analyses, phase plane, Poincaré sections, and spectrum diagrams.
• Applying the multi-scale method to derive stability equations for primary resonance.

Main Results:

• Detailed description of nonlinear system behaviors and bifurcation evolution under external load excitation.
• Derivation of stability equations considering meshing stiffness, damping, and load fluctuations.
• Demonstration that reasonable parameter selection reduces primary common amplitude and enhances system stability.

Conclusions:

• The developed nonlinear dynamic model improves upon previous methods.
• Provides a theoretical foundation for nonlinear dynamics modeling and parameter optimization of planetary roller screw mechanisms.