MWModal - Morlet-Wave Modal Identification
------------------------------------------
This is the Python implementation of the Morlet-Wave Modal identification method which is based on the [1]_.
This package is created within the MSCA IF project `NOSTRADAMUS`_.
Simple example
---------------
A simple example how to identify modal parameters using Morlet-Wave Modal package:
.. code-block:: python
import mwmodal as mwm
import numpy as np
# set time domain
fs = 5000 # sampling frequency [Hz]
T = 2 # signal duration [s]
time = np.arange(T*fs) / fs # time vector
# generate a free response of a SDOF damped mechanical system
w_d = 2*np.pi * 100 # damped natural frequency
d = 0.01 # damping ratio
x = 1 # amplitude
phi = 0.3 # phase
response = x * np.exp(-d * w_d / np.sqrt(1 - d**2) * time) * np.cos(w_d * time - phi)
# set MorletWaveModal object identifier
identifier = mwm.MorletWaveModal(free_response=response, fs=fs)
# set initial natural frequency, estimate damping ratio and identify modal parameters
identifier.identify_modal_parameters(omega_estimated=w_n, damping_estimated=0.005)
References
----------
.. [1] J\. Slavič, M. Boltežar, Damping identification with the Morlet-wave, Mechanical Systems and Signal Processing, 25 (2011) 1632–1645, doi: `10.1016/j.ymssp.2011.01.008`_.
.. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.7002905.svg
:target: https://doi.org/10.5281/zenodo.7002905
.. _NOSTRADAMUS: http://ladisk.si/?what=incfl&flnm=nostradamus.php
.. _10.1016/j.ymssp.2011.01.008: https://doi.org/10.1016/j.ymssp.2011.01.008
.. image:: https://github.com/ladisk/MorletWaveModal/actions/workflows/python-package.yml/badge.svg
:target: https://github.com/ladisk/MorletWaveModal/actions
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"description": "MWModal - Morlet-Wave Modal Identification \n------------------------------------------\nThis is the Python implementation of the Morlet-Wave Modal identification method which is based on the [1]_.\n\nThis package is created within the MSCA IF project `NOSTRADAMUS`_.\n\n\nSimple example\n---------------\nA simple example how to identify modal parameters using Morlet-Wave Modal package:\n\n.. code-block:: python\n\n import mwmodal as mwm\n import numpy as np\n\n # set time domain\n fs = 5000 # sampling frequency [Hz]\n T = 2 # signal duration [s]\n time = np.arange(T*fs) / fs # time vector\n\n # generate a free response of a SDOF damped mechanical system\n w_d = 2*np.pi * 100 # damped natural frequency\n d = 0.01 # damping ratio\n x = 1 # amplitude\n phi = 0.3 # phase\n response = x * np.exp(-d * w_d / np.sqrt(1 - d**2) * time) * np.cos(w_d * time - phi)\n\n # set MorletWaveModal object identifier\n identifier = mwm.MorletWaveModal(free_response=response, fs=fs)\n\n # set initial natural frequency, estimate damping ratio and identify modal parameters\n identifier.identify_modal_parameters(omega_estimated=w_n, damping_estimated=0.005)\n\nReferences\n----------\n.. [1] J\\. Slavi\u010d, M. Bolte\u017ear, Damping identification with the Morlet-wave, Mechanical Systems and Signal Processing, 25 (2011) 1632\u20131645, doi: `10.1016/j.ymssp.2011.01.008`_.\n\n\n.. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.7002905.svg\n :target: https://doi.org/10.5281/zenodo.7002905\n\n.. _NOSTRADAMUS: http://ladisk.si/?what=incfl&flnm=nostradamus.php\n.. _10.1016/j.ymssp.2011.01.008: https://doi.org/10.1016/j.ymssp.2011.01.008\n\n.. image:: https://github.com/ladisk/MorletWaveModal/actions/workflows/python-package.yml/badge.svg\n :target: https://github.com/ladisk/MorletWaveModal/actions\n",
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