Inverse modeling and experimental validation for reconstructing wave sources on a 2D solid from surficial...

Area of Science:

• Solid mechanics
• Wave propagation
• Inverse problems

Background:

• Wave source reconstruction is crucial for understanding material behavior and structural integrity.
• Existing methods often struggle with complex, heterogeneous, or damped materials.
• Accurate source identification is vital for structural health monitoring and non-destructive testing.

Purpose of the Study:

• To develop and validate an adjoint-gradient-based source inversion method for reconstructing wave sources on 2D linear elastic solids.
• To reconstruct both temporal and spatial distributions of moving or stationary wave sources.
• To assess the method's effectiveness in heterogeneous, damped, and layered materials.

Main Methods:

• Utilizes an adjoint-gradient-based inversion technique.
• Employs the finite element method (FEM) for high-resolution wave solutions.
• Reconstructs sources using vibrational measurements from surface sensors.

Main Results:

• Successfully reconstructs normal and shear tractions for multiple simultaneous moving dynamic loads.
• Demonstrates effectiveness in heterogeneous, damped, and horizontally layered materials.
• Shows improved accuracy by updating surface nodes and reducing sensor distance.

Conclusions:

• The presented source inversion method is effective for reconstructing wave sources on 2D linear elastic solids.
• The method is robust and performs well in complex material conditions.
• Experimental validation confirms the method's applicability at high frequencies.