A new method for identifying elastic parameters of isotropic materials based on square specimens

Area of Science:

• Materials Science
• Mechanical Engineering
• Vibration Analysis

Background:

• Accurate determination of material properties is crucial for engineering applications.
• Traditional impulse excitation techniques can be limited in efficiency and accuracy.
• System identification methods offer potential for improved material characterization.

Purpose of the Study:

• To develop and validate a new impulse excitation technique for material property determination.
• To establish a functional relationship between modal frequencies and material/geometric parameters.
• To compare the proposed method with traditional techniques in terms of efficiency and accuracy.

Main Methods:

• Finite element method (FEM) to establish relationships between modal frequency, geometry, and material properties.
• Homotopy method to derive continuous functional relationships for frequency ratios.
• Inverse analysis using FEM for Young's modulus determination.
• Experimental comparison with traditional impulse excitation methods.

Main Results:

• A functional relationship was established linking modal frequencies to material and geometric parameters.
• Poisson's ratio can be accurately calculated from measured frequency and thickness-to-length ratios.
• Young's modulus can be inversely identified when density and Poisson's ratio are known.
• The new method demonstrated superior testing efficiency and accuracy compared to traditional techniques.

Conclusions:

• The proposed impulse excitation technique offers a more efficient and accurate approach to material property characterization.
• This method provides a valuable new approach for system identification with significant practical applications.
• The findings have important implications for materials testing and mechanical analysis.