[ANN] StructuralVibration.jl

Package Announcements
1

Hi all,

I am pleased to announce my first real contribution to the Julia environment. StructuralVibration.jl is intended to provide a set of tools for generating vibration data either to validate new numerical methods or to serve as input data for solving inverse problems such as input state estimation via Bayesian filtering, Bayesian regularization, machine learning, etc.

This package is developed as part of my research activities on source identification in structural dynamics and acoustics. It has been tested with DispatchDoctor.jl and Aqua.jl.

I tried to developed a comprehensive documentation that you can read here.

The package provides the following features:

Mechanical models

  • Discrete models
    • Spring-mass-damper of SDOF and MDOF systems
    • FE models of bar, rod, strings and beams
  • Continuous models
    • Longitudinal bars, Torsional bars, Strings
    • Beams
    • Rectangular plates, Rectangular membranes
  • State space model
    • Continuous state-space representation
    • Discrete state-space representation
      • Zero-order hold (ZOH)
      • First-order hold (FOH)
      • Band-limited hold (BLH)
      • RK4

Vibration data generation

  • Excitation signals

    • Rectangular wave
    • Triangular wave
    • Hammer impact
    • Smoothed rectangular wave
    • Sine wave
    • Half-sine pulse
    • Harversine pulse
    • Swept sine wave
    • Gaussian pulse
    • Colored noise

  • Solution for SDOF systems

    • Free response
    • Forced response due to a harmonic force or a base motion
    • Forced response due to any external force or base motion (Duhamel’s integral)

  • Time-domain integration schemes for linear second order systems

    • Central difference scheme
    • RK4
    • Newmark-beta method
    • Linear acceleration method
    • Fox-Goodwin method
    • HHT
    • WBZ
    • Generalized-alpha
    • Mid-Point rule

  • Frequency-domain calculations for linear systems

    • Frequency spectrum
      • Modal summation
      • Direct method
    • Frequency response function (FRF)
      • Modal summation
      • Direct method

  • State-space solvers

    • Time domain
      • RK4 for continuous systems
      • ZOH, FOH, BLH, RK4 for discrete models
    • Frequency spectrum
      • Modal summation
      • Direct method
    • Frequency response function (FRF)
      • Modal summation
      • Direct method

  • Measurement noise

    • Additive Gaussian white noise (agwn) with a prescribed SNR
    • Additive Colored noise (acn)
    • Multiplicative noise
    • Mixed - agwn + multiplicative noise

  • Signal processing

    • Measurement noise variance estimation algorithms from noisy data
    • SNR estimation from estimated measurement noise variance
    • Denoising algorithms
      • Regularization
      • Kalman filtering
    • Modal extraction - SDOF methods
      • Peak picking method
      • Circle fit method
    • Detrending data using polynomial fit
    • Gradient calculation using interpolation
    • Signal estimation
      • Transfer functions estimation (H1, H2, H3, Hv)
      • Welch method (PSD, ESD, Autopower, Autopower linear)
      • Signal spectrum estimation

Visualization

  • Bode plot
  • 2D and 3D Nyquist plot
  • Waterfall plot
  • General 2D plot

PR are welcome !

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