Electronic equivalent of a mechanical impact oscillator.

Area of Science:

• Nonlinear dynamics
• Electronic circuit design
• Mechanical engineering

Background:

• Discontinuous impact oscillators exhibit complex behaviors.
• Replicating mechanical dynamics in electronic circuits presents challenges.
• Hard elastic impacts require accurate modeling.

Purpose of the Study:

• To propose a novel electronic circuit design.
• To accurately replicate the dynamics of a mechanical discontinuous impact oscillator with hard elastic impacts.
• To establish the electronic circuit's equivalence with the mechanical system.

Main Methods:

• Systematic derivation of governing equations for the electronic circuit.
• Establishing mathematical equivalence between the electronic circuit and the mechanical oscillator.
• Conducting numerical simulations for single and coupled configurations.

Main Results:

• The electronic circuit design accurately replicates the dynamics of the mechanical oscillator.
• Governing equations confirm the equivalence between the electronic and mechanical systems.
• Numerical simulations show a high degree of agreement between the models.

Conclusions:

• The proposed electronic circuit is a valid analog for mechanical discontinuous impact oscillators.
• The design successfully models hard elastic impacts.
• The findings support the use of electronic circuits for studying mechanical impact dynamics.