Elastic Metamaterial Ring Geometry for Wider Vibration Band Gaps
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Solution Overview
Problem
Existing elastic metamaterials in satellite tether systems face limitations in designing a band gap for resonance frequency due to the circular shape of the pendulum ring, which restricts the weight and frequency characteristics, making it difficult to maintain a desired resonance frequency band without changing the mass.
Innovation Solution
The elastic metamaterial features a pendulum ring with a rectangular cross-section, where the transverse side is longer than the longitudinal side, allowing for independent adjustment of the band gap generated by the pendulum ring and elastic beams, and the application of a water-based vibration control paint to combine resonance frequencies, maintaining the weight and enhancing vibration reduction performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a circular cross-section pendulum ring is used, then the structure is simple and easy to manufacture, but the band gap frequency cannot be adjusted independently without changing the mass
Solution Approach 1:
The patent applies asymmetry by changing the pendulum ring cross-section from circular to rectangular. This asymmetric shape allows independent adjustment of the band gap frequency through the width-to-height ratio while maintaining the same mass, resolving the contradiction between manufacturing simplicity and frequency adjustment capability.
2Manufacturing precision
If the cross-sectional area of the pendulum ring is changed to adjust the band gap frequency, then the resonance frequency band can be positioned in the desired range, but the weight of the pendulum ring changes and other frequency characteristics are affected
Solution Approach 1:
The patent applies parameter changes by modifying the shape parameters (width and height) of the rectangular cross-section while keeping the area constant. This allows precise positioning of the band gap frequency in the desired range without changing the mass, thereby maintaining other frequency characteristics.
3Manufacturing precision
If the pendulum ring cross-section is made rectangular with adjusted width-to-height ratio, then the band gap can be positioned in the desired frequency band without changing mass, but the structural complexity increases
Solution Approach 1:
The rectangular cross-section with adjustable width-to-height ratio introduces controlled asymmetry that enables precise frequency positioning. While this increases structural complexity compared to a circular section, it provides the necessary degree of freedom to independently adjust the band gap frequency without mass changes.
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 design allows for precise positioning of the band gap within a desired resonance frequency band without altering the mass, improving vibration reduction performance by expanding the damping range and combining resonance frequencies for enhanced precision.
Implementation Method 1
A frequency band gap of a certain range is generated due to resonance of the elastic beams and the pendulum ring
Implementation Method 2
absorbs vibrations or shocks resulting from an external disturbance torque
Implementation Method 3
the application of a water-based vibration control paint to combine resonance frequencies
Implementation Method 4
expanding the damping range and combining resonance frequencies for enhanced precision
Data Source
AI summary
The present invention relates to an elastic metamaterial for reducing vibrations of a flexible structure such as a main cable of a tether system for controlling an orbit of a satellite revolving around a planet, and a method for improving a vibration reduction performance thereof, and more particularly, to an elastic metamaterial having an improved precision, in which a ratio of a cross-sectional area of a pendulum ring may be adjusted to maintain a frequency characteristic other than a band gap generated due to the elastic metamaterial even in a state where a mass of the pendulum ring is not changed, and a band gap (R_ring) generated due to the pendulum ring of the elastic metamaterial and a band gap (R_beam) generated due to the elastic beams may be combined into one band gap to expand a vibration damping range, and a method for improving a vibration reduction performance thereof.