Piezoelectric Shunt Tuning for Total Flexural Wave Absorption
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Solution Overview
Problem
Existing absorption systems for flexural waves lack tunability and efficiency, often resulting in incomplete absorption or reflection due to intrinsic damping in mechanical resonators and the inability to adapt to changing wave conditions, leading to weight addition and limited frequency specificity.
Innovation Solution
A non-Hermitian system that tunes a mechanical resonator with a shunting circuit, including an inductor and resistor, to an exceptional point, allowing for perfect absorption or reflection of flexural waves by adjusting the resistance and inductance values, thereby enhancing the absorption spectrum.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of energy
If a mechanical resonator is used to absorb flexural waves, then wave absorption is achieved, but intrinsic damping limits absorption completeness and tunability
Solution Approach 1:
A shunting circuit is introduced as an intermediary electrical system coupled to the mechanical resonator through a piezoelectric device. This intermediary enables active control of the resonator's absorption characteristics by adjusting electrical components (inductance L and resistance R), thereby achieving tunability without modifying the mechanical resonator's intrinsic damping properties.
Solution Approach 2:
The absorption characteristics are controlled by changing electrical parameters (inductance L and resistance R) in the shunting circuit rather than mechanical parameters. By adjusting these electrical parameters, the system can achieve different absorption levels and tune to different frequencies, resolving the contradiction between fixed mechanical damping and required tunability.
2Loss of energy
If conventional absorption systems are used, then some wave absorption is achieved, but perfect absorption or reflection is not achieved due to intrinsic damping
Solution Approach 1:
The shunting circuit provides a feedback mechanism where the electrical resonator responds to the mechanical resonator's motion through the piezoelectric coupling. This feedback loop allows the system to actively adjust energy dissipation, enabling perfect absorption when the shunting circuit's damping matches the resonator's intrinsic damping, or perfect reflection when properly tuned.
Solution Approach 2:
The system combines mechanical and electrical components into a composite electromechanical system. The mechanical resonator provides the primary absorption mechanism while the electrical shunting circuit provides additional controllable damping, together achieving perfect absorption or reflection that neither component could achieve alone.
3Loss of energy
If mechanical resonators are added to absorb flexural waves, then wave absorption capability is improved, but system weight increases
Solution Approach 1:
The electrical shunting circuit replaces the need for additional mechanical damping elements or heavier mechanical resonators. By using electrical components (inductors, resistors, capacitors) coupled through piezoelectric materials, the system achieves enhanced absorption control without adding significant mechanical weight, as electrical components can be made much lighter than equivalent mechanical damping systems.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables broader absorption spectra and efficient total reflection or absorption of flexural waves, improving upon conventional systems by converting imperfect absorbers into perfect absorbers or reflectors, applicable in various fields like photonics, electrical circuits, and acoustics.
Implementation Method 1
a first electrical resonator that includes a piezoelectric device, bonded to the beam, which generates electricity in response to the flexural wave propagating through the body
Implementation Method 2
The shunting circuit alters an absorption of the first mechanical resonator and controls a voltage and current shunted to the piezoelectric device to absorb the flexural wave
Data Source
AI summary
System, methods, and other embodiments described herein relate to tuning an absorption system based on an exceptional point for a shunted mechanical resonator of the absorption system. In one embodiment, the absorption system includes a first mechanical resonator having a beam connected to a body that is subject to a flexural wave. The first mechanical resonator has a latent absorption. The absorption system includes a first electrical resonator that includes a piezoelectric device, bonded to the beam, that generates electricity in response to the flexural wave propagating through the body. The absorption system also includes a shunting circuit connected to the piezoelectric device and tuned based on a calculated exceptional point for the absorption system. The shunting circuit alters an absorption of the first mechanical resonator and controls a voltage and current shunted to the piezoelectric device to absorb the flexural wave.