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Truncated Transfer Matrix-Based Regularization for Impact Force Localization and Reconstruction.

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Area of Science:

  • Structural Engineering
  • Mechanical Engineering
  • Applied Mathematics

Background:

  • Civil infrastructure faces risks from unexpected low-speed impacts, necessitating robust structural health monitoring.
  • Accurate impact force identification is crucial for structural integrity assessment and design optimization.
  • Traditional force identification methods struggle with computational costs and unknown impact locations in large structures.

Purpose of the Study:

  • To develop a computationally efficient and accurate method for impact force identification in civil infrastructure.
  • To address the challenges of unknown impact locations and high-dimensional inverse calculations.
  • To validate the proposed method through numerical simulations and experimental testing.

Main Methods:

  • A novel two-step truncated transfer matrix method is proposed.
  • Step 1: Sparse regularization determines impact locations using modal superposition.
  • Step 2: Tikhonov regularization with time-windowed transfer matrices reconstructs impact force time histories.

Main Results:

  • The method accurately identifies impact locations and reconstructs impact force time histories.
  • Numerical and experimental results on a beam and bridge deck confirm the method's efficacy.
  • The proposed approach shows superior accuracy and computational efficiency compared to existing methods.

Conclusions:

  • The developed method offers an efficient and accurate solution for impact force identification in civil infrastructure.
  • It effectively handles unknown impact locations and reduces computational burden.
  • The technique shows robustness to noise and varying numbers of modes and sensors, proving its practical applicability.