From a raw optical-sensor signal to interpretable physics: signal processing, system identification (SINDy/HAVOK/PINN) and Euler-Bernoulli beam modeling.
(Surrogate Cantilever)A PINN model built with DeepXDE and PyTorch to solve the Euler-Bernoulli cantilever beam equation. Features analytical solution comparisons and an interactive frontend visualization.
Euler–Bernoulli flapping-beam simulation with RK4 time integration and solar-power proxy based on surface orientation dynamics.
Solving 1D beam, 2D plate, and 3D solid mechanics problems using Physics-Informed Neural Networks (PINNs) with DeepXDE and TensorFlow. Results validated against ANSYS Mechanical 2025 R1. 2nd sem project
Formal proofs in analog spline theory: Shipwright's Theorem, Galois Connection
Calibration-free structural robustness index (R_S) from the Shannon entropy of strain energy, for planar steel frames and trusses under the alternate-load-path (member-removal) method. Verified Python finite-element solver with a progressive-collapse criteria comparison.
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