This study investigates the use of Physics-Informed Neural Networks (PINNs) for modeling underdamping and overdamping in spring mass damper systems, employing a novel approach that forgoes traditional data point evaluations. Instead, the PINN framework developed here relies solely on residual calculations and initial conditions, embedding the physical laws governing the system dynamics directly into the learning algorithm. This method highlights the comparative performance of different activation functions and optimizers. Findings demonstrate that, with suitable choices of these parameters, PINNs can effectively capture the intricate dynamics of underdamping and overdamping conditions.

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Comprehensive Analysis of Damping Conditions Using PINNs with Different Activation Functions and Optimizers

  • Prasant Sahay,
  • Krishna Kant Mishra,
  • Aryan Verma,
  • Rajnish Mallick,
  • Dineshkumar Harursampath,
  • Manoj Sahni

摘要

This study investigates the use of Physics-Informed Neural Networks (PINNs) for modeling underdamping and overdamping in spring mass damper systems, employing a novel approach that forgoes traditional data point evaluations. Instead, the PINN framework developed here relies solely on residual calculations and initial conditions, embedding the physical laws governing the system dynamics directly into the learning algorithm. This method highlights the comparative performance of different activation functions and optimizers. Findings demonstrate that, with suitable choices of these parameters, PINNs can effectively capture the intricate dynamics of underdamping and overdamping conditions.