An Open-Source Package for Impulse Response Function Estimation of Mechanical Systems

OpenIRF Documentation

Requirements

For interactive plots: either PyQt5 or PyQt6

• Experimental IRF Calculation
  • Time Data Preparation
    • Retriggering of Time Series
      • Interactive Retriggering with GUI
      • Retriggering with Fixed Trigger Value
    • Limitation of Frequency Content
      • Downsampling of Time Series
        • Interactive Downsampling with GUI
        • Downsampling with Fixed Factor
          • downsample_time_series()
      • Low-Pass Filtering of Time Series
        • Interactive Low-Pass Filtering with GUI
        • Low-Pass Filtering with Fixed Cut-Off Frequency
  • Estimation of Impulse Response Functions
    • Regularization of the Inverse Problem
      • Truncated Singular Value Decomposition
      • Tikhonov Regularization
  • IRF Quality Checks
    • Back-Convolution - An Onboard Validation
      • Interactive Back-Convolution Plot
      • Retrieve Back-Convolved Time Series and Relative Error
    • Estimation of the Optimal IRF Length
• Class Documentation
  • NumericalIRF Class
    • NumericalIRF
      • NumericalIRF.M
      • NumericalIRF.C
      • NumericalIRF.K
      • NumericalIRF.H_d
      • NumericalIRF.H_v
      • NumericalIRF.H_a
      • NumericalIRF.t_vec_IRF
      • NumericalIRF.add_MCK()
      • NumericalIRF.calculate_IRF()
  • ExperimentalIRF Class
    • ExperimentalIRF
      • ExperimentalIRF.y_vec
      • ExperimentalIRF.f_vec
      • ExperimentalIRF.H
      • ExperimentalIRF.t_vec_IRF
      • ExperimentalIRF.t_vec
      • ExperimentalIRF.add_time_series()
      • ExperimentalIRF.retrigger_data()
      • ExperimentalIRF.calculate_IRF()
  • Utility Functions
    • Interactive Selection Tools
      • interactive_retrigger()
    • Plotting Functions
      • experimental_time_series_plot()
      • numerical_irf_plot()
    • General Utility Functions
      • build_convolution_matrix()
      • newmark_integration()
      • extract_impulse_time_series()