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Development of an Inverse Analysis Method to Estimate Boundary Loads from Measured Displacements Using POD-based Reduced Order Models
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DOI：10.3795/KSME-A.2026.50.4.277.png)
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Abstract
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In this paper, we propose an inverse method using proper orthogonal decomposition (POD) to obtain the boundary loads of elastic bodies from measured displacements. Reduced POD vectors are constructed from snapshot displacements for various training loads, and an inverse formulation is developed to estimate the boundary loads from measured displacements. Numerical results show that the error in the estimated loads decreases as the measurement location approaches the loading location. In addition, the error tends to steadily decrease when the number of POD modes increases. The proposed inverse method can stably estimate boundary loads from measured displacements, and can be used to estimate unknown loads and evaluate residual stresses in structures.
Keywords:
Proper Orthogonal Decomposition
Inverse Problems
Pseudo-Inverse Matrix
Finite Element Method
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0.2
Papers:
87
Citations:
308
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