Single-Axis Resonant Accelerometer With Common-Anchor Stress Cancellation

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Solution Overview

Problem

MEMS resonant accelerometers are sensitive to external stresses such as temperature and pressure variations, which limit their accuracy.

Innovation Solution

A resonant accelerometer design featuring first and second resonant elements fixed to the same anchor, allowing for differential output that cancels out thermal and mechanical stresses by ensuring both elements experience equal but opposite strains, with identical resonant frequencies.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Object-affected harmful factors

If a resonant accelerometer uses a differential output to cancel common mode effects, then the sensitivity to external stresses is reduced, but the different stresses experienced by different resonant elements still limit the accuracy of the sensor

Engineering Contradiction:
Improvesensitivity to external stressesVSAvoidaccuracy of the sensor
Core Design Contradiction:
Object-affected harmful factorsVSMeasurement precision

Solution Approach 1:

The patent employs asymmetric positioning of resonant elements relative to the proof mass, where elements are placed at different locations (e.g., one on the proof mass and one on the substrate) to experience different stress patterns. This asymmetric arrangement, combined with differential sensing, enables cancellation of common-mode stresses while maintaining sensitivity to acceleration, thereby resolving the contradiction between stress sensitivity and measurement accuracy.

Inventive Principle:
Principle #4Asymmetry

Solution Approach 2:

The patent introduces an intermediary differential output mechanism that processes signals from multiple resonant elements. By comparing the output of resonant elements experiencing different stresses through a differential amplifier or processing circuit, the system cancels common-mode effects while preserving acceleration-induced signals, thus improving accuracy despite varying stress conditions.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Device complexity

If the accelerometer uses a compact design with minimal components, then the device size is reduced, but the sensitivity to external stresses increases

Engineering Contradiction:
Improvecompact designVSAvoidsensitivity to external stresses
Core Design Contradiction:
Device complexityVSObject-affected harmful factors

Solution Approach 1:

The patent merges multiple resonant elements and stress-compensation features into a single integrated structure. By combining the resonant elements, proof mass, and stress-compensation mechanisms into one compact unit, the design achieves small device footprint while the differential configuration maintains immunity to external stresses, resolving the contradiction between compactness and stress sensitivity.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent applies local quality by positioning resonant elements at specific locations where they experience characteristic stress patterns. By strategically placing elements to experience different stress distributions (e.g., tensile vs. compressive stresses), the design enables differential cancellation of external stresses while maintaining compact overall dimensions.

Inventive Principle:
Principle #3Local quality

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 enhances accuracy by eliminating interference from external stresses, providing precise acceleration measurements.

Implementation Method 1

A resonant sensor is an oscillator whose output resonant frequency is a function of an input measurand. In other words, the output of a resonant sensor corresponds to the shift in resonant frequency of a mechanical microstructure that gets tuned in accordance with a change in a physical quantity to be measured.

Methodology Applied
Scientific EffectResonance: Resonance

Implementation Method 2

The resonant frequency of the microstructure shifts in response to applied stress or acceleration, enabling the measurement of physical quantities through frequency modulation.

Methodology Applied
Scientific EffectPiezoresistive Effect: Piezoresistive Effect

Implementation Method 3

one or more proof masses suspended from the frame by one or more flexures to allow the proof mass to move relative to the frame along a sensitive axis

Methodology Applied
Scientific EffectElasticity: Elasticity

Data Source

PatentEP4154020B1Single axis resonant accelerometer
Publication Date: 2026.02.18 SILICON MICROGRAVITY LTD
  • EP4154020B1 patent drawingFigure 1
  • EP4154020B1 patent drawingFigure 2
  • EP4154020B1 patent drawingFigure 3

AI summary

There is provided an accelerometer comprising: a frame; one or more proof masses suspended from the frame by one or more flexures and movable relative to the frame along a sensing axis; a first resonant element fixed between an anchor on the frame and the one or more proof masses, and extending from the anchor to the one or more proof masses along the sensing axis; a second resonant element fixed between the anchor and the one or more proof masses and extending from the anchor to the one or more proof masses along the sensing axis in a opposite direction to the first resonant element. Having both first and second resonant elements fixed to the same anchor on the frame means that they will both be subject to substantially the same thermal and mechanical stresses. This means that a differential output based on the response of the first and second resonant elements will result in cancellation of substantially all effects associated with the thermal and mechanical stresses.