MEMS Resonant Accelerometer Thermal Expansion Compensation

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Solution Overview

Problem

MEMS resonating accelerometers face challenges in minimizing temperature sensitivity, which leads to errors in measuring external acceleration due to thermal expansion, making it difficult to distinguish between thermal expansion and external acceleration effects.

Innovation Solution

A MEMS resonating accelerometer with a double-ended tuning fork (DETF) structure is designed, where the first and second inertial masses and the elastic body have the same thermal expansion coefficient, and the tuning fork is connected to the elastic body in a circular shape with one end penetrating the center, allowing for equal displacement in both directions to cancel out thermal expansion effects.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If a conventional resonant accelerometer structure is used, then the device can measure external acceleration, but temperature sensitivity causes errors in measurement due to thermal expansion

Engineering Contradiction:
Improveacceleration measurement accuracyVSAvoidtemperature sensitivity
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The patent applies thermal expansion principles by designing the elastic body and inertial masses with specific geometric configurations that cause them to expand or contract in controlled ways when temperature changes. The elastic body is designed with an opening portion that allows the tuning fork to penetrate, creating a structure where thermal expansion of the elastic body compensates for thermal expansion of the inertial masses, thereby minimizing temperature sensitivity and improving measurement accuracy.

Inventive Principle:
Principle #37Thermal expansion

Solution Approach 2:

The patent employs asymmetric design in the elastic body's geometric configuration, particularly in the opening portion's shape and position. This asymmetric structure creates unequal thermal expansion characteristics between different parts of the device, allowing the elastic body to compensate for thermal effects in the inertial masses. The asymmetric design enables the tuning fork to experience net zero thermal stress while still responding to external acceleration.

Inventive Principle:
Principle #4Asymmetry

2Adaptability or versatility

If the inertial masses and elastic body have different thermal expansion coefficients, then material selection is flexible, but thermal expansion stress cannot be compensated, leading to measurement errors

Engineering Contradiction:
Improvematerial selection flexibilityVSAvoidresonance frequency stability
Core Design Contradiction:
Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The patent applies homogeneity by designing the elastic body and inertial masses to have matching thermal expansion coefficients. This homogeneous thermal response ensures that when temperature changes, all components expand or contract proportionally, preventing differential thermal stress that would otherwise affect the tuning fork's resonance frequency. The homogeneous design allows the system to maintain stable resonance characteristics across temperature variations.

Inventive Principle:
Principle #33Homogeneity

Solution Approach 2:

The patent utilizes parameter changes by carefully selecting and adjusting the thermal expansion coefficients of the materials used in the elastic body and inertial masses. By changing the material parameters to achieve matching thermal expansion characteristics, the system minimizes temperature sensitivity. The parameter optimization allows the device to maintain measurement precision across different operating temperatures.

Inventive Principle:
Principle #35Parameter changes

3Ease of manufacture

If a simple resonant structure is used, then the device is easy to manufacture, but cannot compensate for thermal expansion effects

Engineering Contradiction:
Improvedevice fabrication simplicityVSAvoidtemperature sensitivity compensation
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent applies segmentation by dividing the elastic body into distinct functional regions, including an opening portion that separates the inertial masses from the tuning fork attachment point. This segmented structure allows each component to perform its specific function while enabling thermal expansion compensation. The opening portion creates a mechanical advantage that allows the tuning fork to be positioned optimally for both acceleration sensing and thermal effect compensation.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent employs dimensional change by introducing a spatial configuration where the tuning fork extends through the opening portion of the elastic body in a direction perpendicular to the main inertial mass movement axis. This three-dimensional arrangement creates a geometric relationship where thermal expansion in one dimension does not directly translate to stress in the measurement dimension, thereby compensating for temperature effects while maintaining manufacturing simplicity.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

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 minimizes temperature sensitivity, reducing errors caused by thermal expansion and improving the accuracy of external acceleration measurement by ensuring that changes in resonance frequency are solely due to external forces.

Implementation Method 1

an elastic body which is provided between the first and second inertial masses to apply elasticity

Methodology Applied
Scientific EffectElasticity: Elasticity

Implementation Method 2

a tuning fork which is connected to the elastic body and measures the change of frequency according to acceleration

Methodology Applied
Scientific EffectResonance: Resonance

Implementation Method 3

the first and second inertial masses and the elastic body have the same thermal expansion coefficient

Methodology Applied
Scientific EffectThermal expansion: Thermal Expansion

Data Source

PatentUS9470708B2MEMS resonant accelerometer
Publication Date: 2016.10.18 MICROINFINITY
  • US9470708B2 patent drawing
  • US9470708B2 patent drawing
  • US9470708B2 patent drawing

AI summary

Provided is a micro electro mechanical system (MEMS) resonating accelerometer. The MEMS resonating accelerometer according to the present invention comprises: a first inertial mass; a second inertial mass which is spaced at a predetermined distance from the first inertial mass on a first axis; an elastic body which is provided between the first and second inertial masses so as to apply elasticity; and a tuning fork which is connected to the elastic body and measures the change of frequency according to acceleration, wherein the longitudinal direction of the tuning fork is parallel to a second axis which is perpendicular to the first axis, the elastic body has an opening portion being in a circular shape with a portion thereof removed, and one end of the tuning fork penetrates the opening portion and is connected to the inner surface of the elastic body.