Development of a three-dimensional finite element model of a human tibia using experimental modal analysis

Area of Science:

• Biomechanics
• Orthopedics
• Structural Engineering

Background:

• Understanding the dynamic behavior of human long bones like the tibia is crucial for biomechanical analysis and implant design.
• Modal analysis provides insights into natural frequencies, damping, and mode shapes, essential for predicting bone response to loads.

Purpose of the Study:

• To perform modal analysis on a human tibia using both finite element and experimental methods.
• To compare and optimize the structural model against the experimental modal model.
• To identify sources of discrepancies between the two modeling approaches.

Main Methods:

• Finite element method (FEM) was employed to create a structural model of the tibia.
• Experimental modal analysis was conducted to generate a modal model.
• The experimental modal model was used to refine and optimize the FEM structural model.

Main Results:

• Optimized structural and experimental models showed differences primarily attributed to variations in mechanical properties and mass distribution.
• Geometric properties and boundary conditions were effectively accounted for by the FEM.
• A low percent relative error of approximately 3% was observed between the two methods.

Conclusions:

• The study successfully validated the finite element model against experimental data for human tibia modal analysis.
• Mechanical properties and mass distribution are key factors influencing tibial dynamic behavior.
• The methodology provides a reliable approach for analyzing bone dynamics and can inform orthopedic device development.