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Longitudinal dynamic behavior study of a vibrating rod connected through an elastic nonlinear single degree freedom
Mingfei Chen1, Sheng Li2, Haijian Cui3
1College of Mechanical Engineering, Guizhou University, Guiyang, 550025, People's Republic of China.
Scientific Reports
|November 9, 2024
Summary
Integrating a nonlinear single-degree-of-freedom system effectively controls rod coupling vibrations. Fine-tuning parameters allows for significant vibration modulation and suppression in coupled rod systems.
Area of Science:
- Mechanical Engineering
- Nonlinear Dynamics
- Vibration Control
Background:
- Rod coupling systems are prone to complex vibrations.
- Controlling these vibrations is crucial for structural integrity and performance.
- Existing methods may not fully address nonlinear vibrational behaviors.
Purpose of the Study:
- To investigate the effectiveness of nonlinear single-degree-of-freedom systems for vibration control in coupled rod systems.
- To analyze the nonlinear dynamics induced by the intermediary system.
- To demonstrate the potential for vibration suppression through parameter optimization.
Main Methods:
- Interlinking two rods via a nonlinear single-degree-of-freedom system.
- Utilizing the Lagrange method (LM) for predicting nonlinear vibrational behaviors.
- Conducting numerical analyses to validate LM precision and assess amplitude responses.
Main Results:
- The Lagrange method accurately predicts amplitude responses with the nonlinear system.
- The nonlinear system induces complex dynamics: peak jumping and resonance zone migration.
- Parameter tuning of the nonlinear system significantly alters rod coupling system vibrations.
Conclusions:
- Nonlinear single-degree-of-freedom systems offer a viable strategy for modulating rod system vibrations.
- Optimal parameterization of these systems effectively dampens vibrations.
- This approach presents a sophisticated mechanism for vibration suppression in coupled rods.
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