Square Plate Torsional Frequency Testing for Elastic Modulus Accuracy

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Solution Overview

Problem

Current methods for calculating Young's modulus and Poisson's ratio are inconvenient, time-consuming, and lack accuracy due to insufficient consideration of material influence.

Innovation Solution

A testing method using a square plate to measure Young's modulus and Poisson's ratio by determining the first- and second-order torsional frequencies, incorporating a homotopy method to establish a continuous function relationship between frequency ratios and material parameters, and using ANSYS software to calculate Young's modulus considering damping effects.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional calculation methods are used for Young's modulus and Poisson's ratio, then the measurement process is simple, but the calculation accuracy is insufficient due to not considering material damping effects

Engineering Contradiction:

Improvecalculation accuracyVSAvoidmeasurement process complexity

Core Design Contradiction:

Measurement precisionVSDevice complexity

Solution Approach 1:

The patent transforms the measurement approach by changing from direct static measurement to dynamic vibration frequency measurement. By measuring natural frequencies and utilizing the relationship between frequency and material parameters, the method achieves higher accuracy while accounting for damping effects, thus resolving the contradiction between measurement simplicity and accuracy.

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent replaces traditional mechanical testing methods with vibration-based dynamic testing. By substituting static force application with dynamic vibration excitation and analyzing natural frequencies, the method achieves more accurate material parameter measurement while considering damping effects, thereby improving accuracy without excessive complexity.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Productivity

If traditional measurement methods are used, then the equipment is simple, but the measurement efficiency is low and time-consuming

Engineering Contradiction:

Improvemeasurement efficiencyVSAvoidtesting system complexity

Core Design Contradiction:

ProductivityVSDevice complexity

Solution Approach 1:

The patent utilizes mechanical vibration principles to measure material parameters. By exciting the specimen to vibrate and measuring its natural frequencies, the method achieves rapid measurement without complex procedures. This vibration-based approach significantly improves measurement efficiency compared to traditional static methods, while the required equipment remains relatively simple.

Inventive Principle:

Principle #18Mechanical vibration

3Reliability

If traditional calculation methods are used, then the process is straightforward, but the results do not adequately consider material influence and damping effects

Engineering Contradiction:

Improvecalculation reliabilityVSAvoidcalculation method complexity

Core Design Contradiction:

ReliabilityVSDevice complexity

Solution Approach 1:

The patent incorporates damping effects into the calculation through a feedback mechanism. By measuring the decay of vibration amplitude and calculating the damping ratio, the method feeds this information back into the material parameter calculation, ensuring that damping effects are properly considered. This improves calculation reliability while maintaining a relatively straightforward computational process.

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

Improves the convenience and accuracy of Young's modulus and Poisson's ratio calculations by considering material damping effects, providing efficient and stable results.

Implementation Method 1

Measuring a first-order torsional frequency and a second-order torsional frequency of the square plate specimen

Methodology Applied

Scientific EffectTorsional vibration: Vibration

Implementation Method 2

Obtaining a relationship between the first-order torsional frequency, the second-order torsional frequency, and an ideal first-order torsional frequency, an ideal second-order torsional frequency based on an influence of system damping

Methodology Applied

Scientific EffectNatural frequency: Resonance

Implementation Method 3

Methodology Applied

Scientific EffectDamping: Damping

Data Source

PatentUS20260016384A1Testing method for young's modulus and poisson's ratio based on square plate

Publication Date: 2026.01.15 KUNMING UNIVERSITY

AI summary

A testing method for Young's modulus and Poisson's ratio based on a square plate is provided, which including: obtaining a height, a length, a density, and a quality information of the square plate specimen; measuring the first-order torsional frequencie and the second-order torsional frequencie of the square plate specimen; calculating Poisson's ratio based on the height, the length, the first-order torsional frequency, and the second-order torsional frequency of the square plate specimen; calculating the Young's modulus of the square plate specimen based on the Poisson's ratio and the density. The method establishes a continuous function relationship between the parameter set of the test specimen and the torsional frequency using homotopy method, which can be used to calculate Poisson's ratio. When the material density and Poisson's ratio are known, the Young's modulus can be calculated in conjunction with ANSYS software. The method has advantages in both testing efficiency and accuracy.