Resonator Added Mass Linearizing Acceleration Measurement
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Solution Overview
Problem
Existing vibrating beam accelerometers face challenges in accurately determining acceleration due to nonlinearity in the relationship between resonant frequency differences and acceleration, leading to interference and errors in measurement.
Innovation Solution
The system incorporates a proof mass assembly with a resonator connection structure and two resonators, where the first resonator includes added masses and the second resonator forms gaps, ensuring a near-zero quadratic nonlinearity coefficient and a nonzero difference in resonant frequencies at zero acceleration, allowing for precise acceleration calculation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a resonator is designed to detect acceleration through resonant frequency changes, then the measurement capability is provided, but nonlinearity in the relationship between frequency difference and acceleration causes measurement errors
Solution Approach 1:
The patent modifies the physical parameters of the resonator by adding masses to the mechanical beams. This changes the resonant frequency characteristics and the relationship between acceleration and frequency difference, transforming the nonlinear measurement relationship into a more linear one that enables accurate acceleration measurement across a wider range
Solution Approach 2:
The patent introduces asymmetry by adding different masses to different mechanical beams within the resonator structure. This asymmetric mass distribution creates a controlled imbalance that linearizes the relationship between acceleration input and frequency difference output, resolving the measurement nonlinearity problem
2Measurement precision
If added masses are included in the mechanical beams, then the resonant frequency characteristics are modified to improve linearity, but the device complexity increases
Solution Approach 1:
Rather than fundamentally changing the resonator architecture, the patent modifies existing parameters by adding masses to the mechanical beams. This approach improves linearity while maintaining the basic resonator structure, thus limiting the increase in device complexity
Solution Approach 2:
The added masses are integrated into the existing mechanical beam structure of the resonator. The masses are combined with the beams to form a unified component, avoiding the need for separate complex adjustment mechanisms and minimizing the increase in device complexity
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 configuration enhances the accuracy of acceleration measurement by minimizing interference and error, ensuring a close-to-linear relationship between resonant frequency differences and acceleration, thereby improving the reliability of the vibrating beam accelerometer.
Implementation Method 1
The resonator may be electrically coupled to oscillator circuitry, or other signal generation circuitry, which causes the resonator to vibrate at a resonant frequency
Implementation Method 2
The first mechanical beam includes a first mass located at a point along the long axis and a second mechanical beam extending parallel to the long axis, where the second mechanical beam includes a second mass located at the point along the long axis
Data Source
Figure 1
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Figure 3A
AI summary
This disclosure is related to devices, systems, and techniques for determining an acceleration of a vibrating beam accelerometer (VBA). For example, a system includes processing circuitry configured to receive, from a first resonator, one or more electrical signals indicative of a frequency of a first mechanical beam and a frequency of a second mechanical beam, determine, based on the one or more electrical signals, the frequency of the first mechanical beam and the frequency of the second mechanical beam, and calculate, based on the frequency of the first mechanical beam and the frequency of the second mechanical beam, an acceleration of a proof mass assembly.