hysteresis


Namehysteresis JSON
Version 2.0.5 PyPI version JSON
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SummaryHysteresis data processing tools.
upload_time2024-10-07 08:25:41
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requires_python>=3.9
licenseApache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. 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            <h1 align = "Left">Hysteresis: Analysis Tools for Non-functional Curves.</h1>

Hysteresis is a Python library made for analyzing non-functional curves, with an emphasis on force-deformation hystereses.
While functions only have one direction, non-functional curves change direction, and each 'x' can be is mapped to more than one 'y'. 
Hysteresis can break up these curves into a number of functions that can be easily analyzed. 


A overview of the functions currently availible to users can be found here: https://hysteresis.readthedocs.io/en/latest/ <br>
Examples can be found here: https://github.com/cslotboom/hysteresis/tree/master/examples


## Contents
* [Basic Demo](https://github.com/cslotboom/Hysteresis#demo)
* [Install](https://github.com/cslotboom/Hysteresis#install)
* [Features](https://github.com/cslotboom/Hysteresis#features)
* [Tutorials](https://github.com/cslotboom/Hysteresis#tutorials)
* [Terminology](https://github.com/cslotboom/Hysteresis#Terminology)

***

## Basic Demo

Hysteresis objects are created by passing a xy curve to one of the base classes.
The resulting object has many useful methods that help with analyzing the data. Here we plot the data, seeing the the reversal points have been detected.

<p align="center">
  <img src="doc/images/feat/demo.gif">
</p>


```python
import numpy as np
import hysteresis as hys

t = np.linspace(0,4,1000)*np.pi
x = np.sin(t)
y = np.cos(t)*t
xy = np.column_stack([x,y])

myHys = hys.Hysteresis(xy)
myHys.plot(showReversals = True)
```


## Install

Hysteresis is pip installable via:

```python
pip install hysteresis
```

***



## Features

Using Hysteresis, it's possible to:

### Find peaks or reversal points in data:
Using a Hysteresis object, it's possible to find the reversal points in your data, and break curves up into a series of "SimpleCycles" that are all functions.
Experimental data is often messy, and the Hysteresis package comes with a number of ways to filter the peaks of data.

Filtering peaks in data:
<p align="center">
  <img src="doc/images/feat/demo2.gif" width="70%" height="70%" >
</p>


Finding reversal points in data ([Ex. 2.1](https://github.com/cslotboom/hysteresis/blob/master/examples/02%20Basic%20Usage/2.1%20Basic%20Seismic%20Damper/2.1%20Basic%20Seismic%20Damper.py)):
<p align="center">
  <img src="doc/images/feat/demo3.png" width="70%" height="70%" >
</p>


### Easily display data
All Hysteresis objects come with built in plotting functionality, built off matplotlib. It's possible to plot a variatety of features about the curve, and make publication ready plots.

```
fig, ax = plt.subplots()
line = myHys.plot(showReversals=True)
ax.set_xlabel('Actuator Displacement (mm)')
ax.set_ylabel('Applied Force (kN)')
```

### Find the backbone of a hysteresis
Using the Hysteresis module, it's possible to find the backbone of a hysteresis, then fit a curve to that data.  ([Ex. 3.2](https://github.com/cslotboom/hysteresis/blob/master/examples/03%20Find%20Backbone%20of%20Experimental%20Data/3.2/3.2%20-%20SPC1%20-%20EEEP.py)).
Data provided by Dr. Thomas Tannert of UNBC: Drexler M, Dires S, Tannert T (2021), "Internal perforated-steel-plate connections for CLT shear walls.", In proceedings of World Conference for Timber Engineering, Santiago de Chile. 

<p align="center">
  <img src="doc/images/feat/demo7.png" width="70%" height="70%" >
</p>


### Find the area or slope of a hysteresis:
If the area or slope has been set it's possible to return the slope or area of a curve. Assuming your units are correct, the area under each hysteresis curve is the energy contained by the curve!

```
area = myHys.area
netArea = myHys.getNetArea()
cumulativeArea = myHys.getCumArea()
slope = DamperHys.slope
```

<p align="center">
  <img src="doc/images/feat/CumulativeArea_base.png" width="70%" height="70%" >
</p>

### Down sample a hysteresis:
It's also possible to reduce the number of points in a curve, using the resample functions. These functions use linear interpolation to make a new curve with less data points than the original.
<p align="center">
  <img src="doc/images/feat//demo4.png" width="70%" height="70%" >
</p>


### Compare two hystereses:
If two hystereses have the same load protocol, the hysteresis package allows you to "compare" the curves. This operation will take two hystereses, resample them, then find the average "difference" between each point on the curve. 
<p align="center">
  <img src="doc/images/feat//demo5.png" width="70%" height="70%" >
</p>

<p align="center">
  <img src="doc/images/feat//demo6.png" width="70%" height="70%" >
</p>

***
## Tutorials
Youtube tutorials coming soon.

***
## Terminology

A **curve** is a sequence of xy points, i.e. [xy0, xy1, ..., xyN]

Portions of a **curve** will have a **direction** in both **x** and **y**, depending on if values are increasing or decreasing.
The **direction** of a **curve** section depends on the overall curve trends, and small imperfections in the data can be ignored.
Points where the x values change direction are called **reversal points**.
Points where the y values change direction are called **peaks**.

The Hysteresis package has a number of objects to represent curves with different properties

The most basic type of curve is the **MonotonicCurve**.
**onotonicCurves** do not change direction in x or y.
They have two **revesal points**, and two **peaks** (the first and last point for both)


Next are **SimpleCurves**. These are curves where x does not change direction, but y can.
They will have two **reversal points** (the first and last point), and multiple **peaks**.
Between peak points, they can be broken into a number of **"Subcycles"** represented by of **MonotonicCurves**.


Finally, a **Hysteresis** is a **curve** where that changes direction in both the x and y.
They can have any number of **reversal points** and **peaks**.
The Hysteresis are broken into a number of **cycles** between reversal points. These **cycles** are represented by a **SimpleCurve**.



            

Raw data

            {
    "_id": null,
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    "name": "hysteresis",
    "maintainer": null,
    "docs_url": null,
    "requires_python": ">=3.9",
    "maintainer_email": null,
    "keywords": "hysteresis, data processing, diagrams",
    "author": null,
    "author_email": "Christian Slotboom <christian.slotboom@gmail.com>",
    "download_url": "https://files.pythonhosted.org/packages/6d/b2/4cee462752ec9f35ce1ff7b59c6232ec0da5a0c8954865166b53db2a6809/hysteresis-2.0.5.tar.gz",
    "platform": null,
    "description": "<h1 align = \"Left\">Hysteresis: Analysis Tools for Non-functional Curves.</h1>\r\n\r\nHysteresis is a Python library made for analyzing non-functional curves, with an emphasis on force-deformation hystereses.\r\nWhile functions only have one direction, non-functional curves change direction, and each 'x' can be is mapped to more than one 'y'. \r\nHysteresis can break up these curves into a number of functions that can be easily analyzed. \r\n\r\n\r\nA overview of the functions currently availible to users can be found here: https://hysteresis.readthedocs.io/en/latest/ <br>\r\nExamples can be found here: https://github.com/cslotboom/hysteresis/tree/master/examples\r\n\r\n\r\n## Contents\r\n* [Basic Demo](https://github.com/cslotboom/Hysteresis#demo)\r\n* [Install](https://github.com/cslotboom/Hysteresis#install)\r\n* [Features](https://github.com/cslotboom/Hysteresis#features)\r\n* [Tutorials](https://github.com/cslotboom/Hysteresis#tutorials)\r\n* [Terminology](https://github.com/cslotboom/Hysteresis#Terminology)\r\n\r\n***\r\n\r\n## Basic Demo\r\n\r\nHysteresis objects are created by passing a xy curve to one of the base classes.\r\nThe resulting object has many useful methods that help with analyzing the data. Here we plot the data, seeing the the reversal points have been detected.\r\n\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat/demo.gif\">\r\n</p>\r\n\r\n\r\n```python\r\nimport numpy as np\r\nimport hysteresis as hys\r\n\r\nt = np.linspace(0,4,1000)*np.pi\r\nx = np.sin(t)\r\ny = np.cos(t)*t\r\nxy = np.column_stack([x,y])\r\n\r\nmyHys = hys.Hysteresis(xy)\r\nmyHys.plot(showReversals = True)\r\n```\r\n\r\n\r\n## Install\r\n\r\nHysteresis is pip installable via:\r\n\r\n```python\r\npip install hysteresis\r\n```\r\n\r\n***\r\n\r\n\r\n\r\n## Features\r\n\r\nUsing Hysteresis, it's possible to:\r\n\r\n### Find peaks or reversal points in data:\r\nUsing a Hysteresis object, it's possible to find the reversal points in your data, and break curves up into a series of \"SimpleCycles\" that are all functions.\r\nExperimental data is often messy, and the Hysteresis package comes with a number of ways to filter the peaks of data.\r\n\r\nFiltering peaks in data:\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat/demo2.gif\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n\r\nFinding reversal points in data ([Ex. 2.1](https://github.com/cslotboom/hysteresis/blob/master/examples/02%20Basic%20Usage/2.1%20Basic%20Seismic%20Damper/2.1%20Basic%20Seismic%20Damper.py)):\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat/demo3.png\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n\r\n### Easily display data\r\nAll Hysteresis objects come with built in plotting functionality, built off matplotlib. It's possible to plot a variatety of features about the curve, and make publication ready plots.\r\n\r\n```\r\nfig, ax = plt.subplots()\r\nline = myHys.plot(showReversals=True)\r\nax.set_xlabel('Actuator Displacement (mm)')\r\nax.set_ylabel('Applied Force (kN)')\r\n```\r\n\r\n### Find the backbone of a hysteresis\r\nUsing the Hysteresis module, it's possible to find the backbone of a hysteresis, then fit a curve to that data.  ([Ex. 3.2](https://github.com/cslotboom/hysteresis/blob/master/examples/03%20Find%20Backbone%20of%20Experimental%20Data/3.2/3.2%20-%20SPC1%20-%20EEEP.py)).\r\nData provided by Dr. Thomas Tannert of UNBC: Drexler M, Dires S, Tannert T (2021), \"Internal perforated-steel-plate connections for CLT shear walls.\", In proceedings of World Conference for Timber Engineering, Santiago de Chile. \r\n\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat/demo7.png\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n\r\n### Find the area or slope of a hysteresis:\r\nIf the area or slope has been set it's possible to return the slope or area of a curve. Assuming your units are correct, the area under each hysteresis curve is the energy contained by the curve!\r\n\r\n```\r\narea = myHys.area\r\nnetArea = myHys.getNetArea()\r\ncumulativeArea = myHys.getCumArea()\r\nslope = DamperHys.slope\r\n```\r\n\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat/CumulativeArea_base.png\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n### Down sample a hysteresis:\r\nIt's also possible to reduce the number of points in a curve, using the resample functions. These functions use linear interpolation to make a new curve with less data points than the original.\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat//demo4.png\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n\r\n### Compare two hystereses:\r\nIf two hystereses have the same load protocol, the hysteresis package allows you to \"compare\" the curves. This operation will take two hystereses, resample them, then find the average \"difference\" between each point on the curve. \r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat//demo5.png\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n<p align=\"center\">\r\n  <img src=\"doc/images/feat//demo6.png\" width=\"70%\" height=\"70%\" >\r\n</p>\r\n\r\n***\r\n## Tutorials\r\nYoutube tutorials coming soon.\r\n\r\n***\r\n## Terminology\r\n\r\nA **curve** is a sequence of xy points, i.e. [xy0, xy1, ..., xyN]\r\n\r\nPortions of a **curve** will have a **direction** in both **x** and **y**, depending on if values are increasing or decreasing.\r\nThe **direction** of a **curve** section depends on the overall curve trends, and small imperfections in the data can be ignored.\r\nPoints where the x values change direction are called **reversal points**.\r\nPoints where the y values change direction are called **peaks**.\r\n\r\nThe Hysteresis package has a number of objects to represent curves with different properties\r\n\r\nThe most basic type of curve is the **MonotonicCurve**.\r\n**onotonicCurves** do not change direction in x or y.\r\nThey have two **revesal points**, and two **peaks** (the first and last point for both)\r\n\r\n\r\nNext are **SimpleCurves**. These are curves where x does not change direction, but y can.\r\nThey will have two **reversal points** (the first and last point), and multiple **peaks**.\r\nBetween peak points, they can be broken into a number of **\"Subcycles\"** represented by of **MonotonicCurves**.\r\n\r\n\r\nFinally, a **Hysteresis** is a **curve** where that changes direction in both the x and y.\r\nThey can have any number of **reversal points** and **peaks**.\r\nThe Hysteresis are broken into a number of **cycles** between reversal points. These **cycles** are represented by a **SimpleCurve**.\r\n\r\n\r\n",
    "bugtrack_url": null,
    "license": "Apache License Version 2.0, January 2004 http://www.apache.org/licenses/  TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION  1. Definitions.  \"License\" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document.  \"Licensor\" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License.  \"Legal Entity\" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, \"control\" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity.  \"You\" (or \"Your\") shall mean an individual or Legal Entity exercising permissions granted by this License.  \"Source\" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files.  \"Object\" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types.  \"Work\" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below).  \"Derivative Works\" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof.  \"Contribution\" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, \"submitted\" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as \"Not a Contribution.\"  \"Contributor\" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work.  2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form.  3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed.  4. Redistribution. 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