Resonant Force Sensor With Electrostatic Stress Compensation

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

MEMS&NEMS accelerometers have a limited operating range due to buckling and tensile failure of nanometric resonators, constrained by internal compressive stress during manufacturing, which reduces their measurement range and sensitivity.

Innovation Solution

A resonant force sensor with a micrometric-sized test body and strain gauge mechanically separated, using electrostatic coupling to apply stretching stress and cancel internal stresses, allowing for mechanical decoupling and extended operating range.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If nanometric resonators are used to increase sensitivity, then measurement precision is improved, but the operating range is limited by buckling and tensile failure

Engineering Contradiction:
ImprovesensitivityVSAvoidoperating range
Core Design Contradiction:
Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The invention separates the test body from the strain gauge mechanically, using electrostatic coupling instead of direct mechanical connection. This segmentation allows the nanometric resonator to function solely as a sensitive strain gauge while the test body handles the mechanical loading, thus preserving both high sensitivity and extended operating range.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

Electrostatic coupling acts as an intermediary between the test body and the nanometric strain gauge. This intermediary transmits force information without requiring direct mechanical contact, enabling the fragile nanoresonator to measure forces beyond its own mechanical limits while maintaining high sensitivity.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Ease of manufacture

If internal compressive stress is present in the nanometric layer, then manufacturing is simplified, but the operating range is reduced due to buckling risk

Engineering Contradiction:
Improvemanufacturing simplicityVSAvoidoperating range
Core Design Contradiction:
Ease of manufactureVSAdaptability or versatility

Solution Approach 1:

The invention applies preliminary electrostatic stretching stress to the nanometric strain gauge before actual measurement begins. This pre-applied counter-stress compensates for the internal compressive stress from manufacturing, preventing buckling during operation and enabling the sensor to handle larger forces while maintaining manufacturing simplicity.

Inventive Principle:
Principle #9Preliminary anti-action

3Force

If the test body is mechanically coupled to the strain gauge, then force transmission is direct, but stress concentration limits the measurement range

Engineering Contradiction:
Improveforce transmissionVSAvoidmeasurement range
Core Design Contradiction:
ForceVSAdaptability or versatility

Solution Approach 1:

Electrostatic coupling serves as a non-contact intermediary that transmits force information from the test body to the strain gauge without mechanical contact. This eliminates stress concentration at connection points while maintaining accurate force transmission, thereby extending the measurable force range.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The invention replaces the traditional mechanical coupling system with an electrostatic coupling system. This substitution eliminates the stress concentration inherent in mechanical connections while preserving the force transmission function, allowing for extended measurement range.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

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 solution extends the operating range and increases sensitivity by releasing internal stresses and applying tensile forces, enhancing the dynamic range beyond traditional limits.

Implementation Method 1

electrostatic coupling means between the mass and the strain gauge which, on the one hand, apply in the rest state a stretching stress induced by an initial electrostatic force

Methodology Applied
Scientific EffectElectrostatic force: Electrostatics

Implementation Method 2

at least one resonator suspended between the support and the mass. The resonator is for example formed by a vibrating beam, i.e. a beam vibrated at its resonant frequency by electrodes

Methodology Applied
Scientific EffectResonance: Resonance

Implementation Method 3

When the mass moves under the effect of an acceleration, the beam which is mechanically integral with the mass is compressed or stretched, which modifies its resonant frequency

Methodology Applied
Scientific EffectStress-modulated resonance frequency: Resonance

Data Source

PatentEP4399532B1Force sensor having an augmented operating range
Publication Date: 2025.07.30 COMMISSARIAT A LENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
  • EP4399532B1 patent drawingFigure 1A~2
  • EP4399532B1 patent drawingFigure 3A~3B
  • EP4399532B1 patent drawingFigure 4A~4B

AI summary

Micro-electromechanical accelerometer comprising a support (2), at least one mass (4) suspended by suspension means with respect to the support and able to move in the plane of the accelerometer, measurement means (8) for measuring the movement of the seismic mass, having at least one first vibrating beam (10) of nanometric section and first means of electrostatic coupling (C1) between the seismic mass (4) and the at least one first vibrating beam (10), which are configured to ensure a mechanical decoupling between the first vibrating beam (10) and the seismic mass (4) so that, at rest, the first means of electrostatic coupling (C1) generate a traction on the first vibrating beam (10), and so that, under the effect of an acceleration, they modify the state of stress of the first vibrating beam (10).