Spring Supported Tray Frequency Mitigation
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Solution Overview
Problem
Objects experience detrimental effects due to vibrational motion, particularly when transported by vehicles, as existing techniques fail to effectively mitigate the dominant undesirable frequencies causing these vibrations.
Innovation Solution
A spring-supported tray is designed with a specific spring constant calculated to ensure its natural frequency is lower than the dominant undesirable frequency of the vibrational motion, using the equation k=fn24π2wNg, where w is the collective weight of the tray and object, and g is the force of gravity, to attenuate and stabilize the object during transport.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the natural frequency of the tray is increased to reduce vibration exposure time, then productivity improves, but the dominant frequency mitigation worsens
Solution Approach 1:
The patent changes the natural frequency parameter of the tray system by adjusting the spring constant k, ensuring that the natural frequency fn remains lower than the dominant undesirable frequency fdom. This parameter optimization allows the system to achieve both productivity improvement and vibration mitigation by operating in a frequency range that avoids resonance with dominant vibration sources.
Solution Approach 2:
The patent utilizes mechanical vibration principles by designing the spring-supported tray system with a specific natural frequency that is lower than the dominant vibration frequency. This frequency separation prevents resonant amplification of harmful vibrations while allowing the system to operate at higher speeds for improved productivity.
2Stability of the object's composition
If the spring constant is increased to reduce tray deflection, then structural stability improves, but the natural frequency increases causing resonance with dominant frequency
Solution Approach 1:
The patent optimizes the spring constant parameter k to achieve a balance between tray stability and vibration mitigation. By calculating and selecting an appropriate spring constant that results in a natural frequency fn lower than the dominant frequency fdom, the system achieves both structural stability and resonance avoidance simultaneously.
3Object-affected harmful factors
If the natural frequency is lowered to avoid resonance, then vibration mitigation improves, but the tray becomes more susceptible to low-frequency disturbances
Solution Approach 1:
The patent carefully selects the natural frequency parameter fn to be lower than the dominant undesirable frequency fdom, creating a frequency separation that attenuates dominant vibrations. This parameter optimization ensures that while the natural frequency is lowered for vibration mitigation, it remains sufficiently high to avoid excessive sensitivity to very low-frequency disturbances.
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
The spring-supported tray effectively reduces kinetic energy, excursions, and forces caused by vibrational motion by selecting springs that lower the natural frequency below the dominant frequency, thereby mitigating the adverse effects of vibrations on objects during transport.
Implementation Method 1
N springs supporting the tray, N being a positive integer. A first end of each of the N springs is disposed at the underside of the tray. A second end of each of the N springs is disposed so as to receive vibrational motion imparted to the second end of each of the N springs from a source of the vibrational motion
Implementation Method 2
Each of the N springs has a spring constant k defined by the equation: k=fn2π2wNg, where w denotes the collective weight of the tray and the object, g denotes the force of gravity, and fn denotes a natural frequency of the spring supported tray supporting the object, wherein fn is a lower frequency than the dominate undesired frequency fdom
Data Source
AI summary
A spring supported tray for mitigating a dominant frequency imparted thereto is provided. The spring supported tray includes a tray including a topside and underside, and configured to support an object on the topside, and N springs supporting the tray, N being a positive integer. A first end of each of the N springs is disposed at the underside of the tray. A second end of each of the N springs is disposed so as to receive vibrational motion imparted to the second end of each of the N springs from a source of the vibrational motion, the vibrational motion having a dominant undesired frequency fdom. Each of the N springs has a spring constant k defined by the equation:k=fn24π2wNgwhere w denotes the collective weight of the tray and the object, g denotes the force of gravity, and fn denotes a natural frequency of the spring supported tray supporting the object, wherein fn is a lower frequency than the dominant undesired frequency fdom.