Flexural Oscillator Density Measurement with Vibration Damping Correction

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Solution Overview

Problem

Existing methods for determining the density of liquids using flexural oscillators are affected by inhomogeneities such as air or gas inclusions, leading to inaccurate measurements, which require manual visual inspection and increased effort.

Innovation Solution

The method employs the relative difference between the fundamental and harmonic vibrations, along with vibration damping values, to automatically detect and correct for inhomogeneities, ensuring accurate density measurements by analyzing the functional dependence of these variables.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If manual visual inspection is used to detect inhomogeneities, then measurement accuracy can be maintained, but work effort and expense increase

Engineering Contradiction:
Improvemeasurement accuracyVSAvoidwork effort
Core Design Contradiction:
Measurement precisionVSEase of operation

Solution Approach 1:

The system performs self-diagnosis by automatically detecting inhomogeneities through vibration analysis. The flexural oscillator itself generates the vibrations and the evaluation unit analyzes the vibration characteristics to detect gas inclusions, eliminating the need for external manual visual inspection while maintaining measurement accuracy.

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent replaces manual visual inspection with an automated mechanical vibration-based detection system. Instead of visually examining the liquid sample, the system uses vibration analysis of the flexural oscillator to detect inhomogeneities, substituting mechanical vibration measurement for manual optical inspection.

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

2Measurement precision

If flexural oscillator is filled with liquid sample at least up to clamping points, then constant volume participates in vibration, but overfilling beyond clamping points is irrelevant for measurement

Engineering Contradiction:
Improvedensity measurement consistencyVSAvoidfilling level monitoring
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system extracts only the relevant vibration information from the flexural oscillator by analyzing vibrations at specific locations or modes that are sensitive to liquid density but insensitive to filling level variations. This allows the system to ignore overfilling conditions while maintaining measurement precision.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent uses changes in vibration parameters (frequency, amplitude, damping) of the flexural oscillator to detect inhomogeneities. By monitoring how these parameters change during vibration, the system can detect gas inclusions without needing to precisely control or monitor the filling level beyond the clamping points.

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If viscosity correction is applied to compensate for sample viscosity, then density measurement accuracy improves, but measurement complexity increases

Engineering Contradiction:
Improvedensity measurement accuracyVSAvoidmeasurement procedure
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system incorporates feedback by continuously monitoring vibration characteristics and comparing them against expected values. The evaluation unit analyzes the vibration data in real-time to detect inhomogeneities and can trigger warnings or reject measurements, providing feedback control that maintains accuracy without requiring complex manual intervention.

Inventive Principle:
Principle #23Feedback

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 approach enables precise and automated detection of invalid density values caused by inhomogeneities, improving measurement accuracy and reducing manual inspection requirements.

Implementation Method 1

the sample is placed in a hollow, U-shaped tube that forms the flexural oscillator, which is electronically excited to subject it to undamped vibration. The natural frequency of the flexural oscillator depends on the mass of the sample.

Methodology Applied
Scientific EffectVibration: Vibration

Implementation Method 2

The two legs of the U-shaped oscillator tube form spring elements of the flexural oscillator.

Methodology Applied
Scientific EffectElasticity: Elasticity

Implementation Method 3

along with vibration damping values, to automatically detect and correct for inhomogeneities

Methodology Applied
Scientific EffectDamping: Damping

Data Source

PatentUS7945395B2Method for determining the density of fluid media
Publication Date: 2011.05.17 METTLER TOLEDO GMBH
  • US7945395B2 patent drawing
  • US7945395B2 patent drawing
  • US7945395B2 patent drawing

AI summary

The actual density of liquids is determined with a flexural oscillator that is excited at two different natural vibrations. The presence of air/gas inclusions or other inhomogeneities in a liquid is detected and their influence can be eliminated. In an initial step, the periods of the inherent vibrations and of at least one vibration damping value of the natural vibrations are determined for liquids having different densities ρ and viscosities. Liquid densities as well as the difference between them and between the vibration damping values are determined from this. An inclusion-free curve (KB) which reflects the functional dependence F(ρδ) between the relative density differences and the vibration damping differences is calculated and the exact function determined; i.e. the gas/air inclusion-free curve (KB) is expanded by introducing a deviation bandwidth (ab) to form an inclusion-free curve area (KF), which is stored. The functional value F(ρδ) of the liquid to be tested is determined and a check is performed to ascertain whether it is within the inclusion-free curve area and whether the resulting value of the density ρ is or is not applicable to the liquid being tested.