Analysing the modulus of rigidity for various thread materials using trifilar suspension method

초록

Rapid advancements in technology are introducing a growing variety of materials and processing methods, such as 3D printing. In this context, filament-shaped materials are garnering increasing interest due to their versatility and anticipated future demand. In this project, two different suspension wire materials are used for the trifilar suspension method to measure the mass moment of inertia of four sets of objects that have different geometries. By comparing the experimental and theoretical results, the reliability of the trifilar suspension method for complex bodies can be determined. However, assessing key mechanical properties such as the shear modulus (modulus of rigidity) for filament or threaded wire forms remains challenging. The trifilar suspension method offers a promising solution for accurately estimating the mass moment of inertia of various complex objects. In this research work we use the mass moment of inertia value of object and oscillation period data to calculate the modulus of rigidity of various threaded component through the formula derived based on torsional oscillations experimental approach. The estimated modulus of rigidity values for the copper wire showed a maximum error of 1.36% and a minimum error of 0.05%. Thus, the trifilar suspension method may serve as a simple method to estimate the modulus of rigidity for any other thread materials, particularly the thread materials with high modulus of rigidity. © 2026 Institute of Physics Publishing. All rights reserved.