Vibrational Energy Confinement in Beams via Dynamic Load Terms
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Solution Overview
Problem
Current methods for confining vibrational energy in flexible structures require multiple control sensor/actuator pairs, which increase with system bandwidth, making it inefficient to isolate vibrations in a beam, especially when modeling leads to a pentadiagonal matrix, where actuation at specific nodes is difficult due to close spacing.
Innovation Solution
A method that models the structure as a beam with a minimum number of actuators positioned between the source and the isolation region, using sensor inputs to calculate vibrational inputs for each actuator, allowing for real-time isolation of vibrations by introducing dynamic load terms at strategic nodes to confine vibrational energy within a specified region.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If multiple control sensor/actuator pairs are used to confine vibrational energy, then vibration isolation effectiveness is improved, but device complexity and cost increase
Solution Approach 1:
The patent extracts and utilizes only the essential vibrational modes needed for control by introducing dynamic load terms at specific finite difference nodes. Instead of using multiple sensor/actuator pairs, the method identifies and acts upon key nodes (such as nodes 0, n/2, and n in the finite difference model) where dynamic loads can effectively confine vibrations to desired regions, thereby reducing the number of required actuators while maintaining isolation effectiveness
Solution Approach 2:
The patent introduces dynamic load terms as intermediary elements at strategic finite difference nodes along the beam. These dynamic loads act as mediators that transfer and confine vibrational energy between regions without requiring direct physical contact from multiple actuators. By placing these intermediary loads at critical nodes, the system achieves vibration confinement with fewer actuators
2Adaptability or versatility
If system bandwidth is increased to handle broader vibration frequencies, then vibration control coverage is improved, but the number of required actuator pairs increases
Solution Approach 1:
The patent creates a universal vibration confinement method that works across broadband frequencies by using dynamic load terms at finite difference nodes. The approach is designed to be frequency-agnostic, relying on the spatial distribution of vibrational energy rather than frequency-specific tuning. This multi-functional approach allows a single actuator configuration to handle a wide range of vibration frequencies without requiring additional actuators for different frequency bands
Solution Approach 2:
The patent changes the approach from frequency-based control to spatial-based control by using finite difference node positions as the primary control parameters. Instead of adjusting actuator frequencies to match vibration modes, the method uses the spatial location and magnitude of dynamic loads at specific nodes to confine vibrations across all frequencies, thereby achieving broadband isolation without increasing actuator count
3Manufacturing precision
If actuators are positioned at closely spaced nodes to achieve precise vibration confinement, then isolation precision is improved, but ease of operation decreases due to difficult actuation
Solution Approach 1:
The patent segments the beam into discrete finite difference nodes, identifying specific segment boundaries (nodes 0, n/2, n) as optimal locations for dynamic load application. This segmentation approach transforms the continuous control problem into a discrete one, where actuators are positioned at manageable intervals rather than requiring continuous coverage. The segmentation maintains precision by targeting critical nodes while easing operation by reducing the total number of actuator positions needed
Data Source
AI summary
A method for isolating vibrations from a source on a structure includes modeling the structure as a beam having a portion for isolation. A sensor is positioned proximate to the source, and at least one actuator is positioned on the structure between the source and the portion for isolation. A controller receives signals from the sensor and calculates vibrational inputs for each actuator that will isolate the structure portion. Driving signals are provided to each actuator by the controller in response to the calculated vibrational inputs, and each actuator is vibrated accordingly, isolating the structure portion from the source. This method can be implemented in multiple configurations to isolate the structure portion.