https://github.com/trots/trussfem

Finite element method implementation for truss structures
https://github.com/trots/trussfem

cae computer-aided-engineering fem finite-element-methods python

Last synced: over 1 year ago
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Finite element method implementation for truss structures

• Host: GitHub
• URL: https://github.com/trots/trussfem
• Owner: trots
• License: mit
• Created: 2023-02-11T05:58:10.000Z (over 3 years ago)
• Default Branch: main
• Last Pushed: 2023-02-11T06:02:13.000Z (over 3 years ago)
• Last Synced: 2025-01-15T08:25:52.511Z (over 1 year ago)
• Topics: cae, computer-aided-engineering, fem, finite-element-methods, python
• Language: Python
• Homepage:
• Size: 37.1 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# trussfem

Finite element method implementation for truss structures

![demo](doc/demo.PNG)

## Usage

Run the `main.py` with the task file specified:

```python

> python main.py tasks/task_1.json

```

The script produces results in VTK format:

- `displacements.vtk`,

- `strains.vtk`,

- `stresses.vtk`.

## Units

- Young's modulus in Pascals,

- coordinates in meters,

- areas in squared meters,

- loads in Newtons,

- displacements in meters,

- stresses in Pascals.

## Task

Task description must be created in JSON format.

Task object example.

```json

{

  "name": "One-element frame stretch",

  "youngs_modulus": 200000000000,

  "poisson_coefficient": 0.25,

  "truss": {

    "nodes": [

      {"id": 0, "x": 0.0, "y": 0.0},

      {"id": 1, "x": 5.0, "y": 0.0}

    ],

    "elements": [

      {"id": 0, "nodes": [0, 1], "profile_area": 0.0001}

    ]

  },

  "constraints": [

    {"id": 0, "node_id": 0, "constraint_x": true, "constraint_y": true}

  ],

  "loads": [

    {"id": 0, "node_id": 1, "load_x": 30000.0, "load_y": 0.0}

  ]

}

```

## Predefined tasks

- tasks/task_1.json : Simple one-element stretching

- tasks/task_2.json : Three element stretching. See [1], [3].

- tasks/task_3.json : Example from [2, p27].

  ![model3](doc/test3_model.PNG)

- tasks/task_4.json : Example from [4, p15].

  ![model4](doc/test4_model.PNG)

- tasks/task_5.json : Truss from [5, p105].

  ![model5](doc/test5_model.PNG)

## References

1. https://isopromat.ru/sopromat/primery-reshenia-zadach/raschet-deformacij/pri-rastyazhenii-szhatii

2. Кондратьева ЛЕ - Основы метода конечных элементов. Введение. Расчет стержневых систем (2007)

3. https://isopromat.ru/sopromat/primery-reshenia-zadach/postroenie-epur/normalnyh-napryazhenij-pri-rastyazhenii-szhatii

4. Артамонова ЕН, Зайцева ИМ - Расчет фермы

5. Галлагер Р - Метод конечных элементов. Основы (1984)

6. Зенкевич О - Метод конечных элементов в технике (1975)

7. Маклаков СФ - Расчет стержневых систем методом конечных элементов (2008)

8. Хабр - Написание МКЭ расчетчика в менее чем 180 строк кода