Implementation of a Föppl–von Kármán (VK) plate.

16-mode modal plate doing with initial excitation

• VKPlate
  • About
  • Getting started
    • Cloning this Repository
    • Directory setup
    • Using main.m
    • Parameter File Format
  • Further Goals
  • References
  • Troubleshooting

Simulation of a von Kármán plate written in modal formalism, using scalar auxiliary variable (SAV) method.

This project uses the magpie-matlab project as a submodule. To correctly clone this repository yo will need to use the command

git clone --recurse-submodules https://github.com/Nemus-Project/VKPlate

Alternatively, clone via the GitHub Desktop application or CLI Client.

NOTE: Downloading the zip will skip the download of the submodules.

There are some assets that need to be generated or downloaded before the project is useable.

The main.m script needs loads a .mat file containing a specific set of variables.

You can either

1. generate it with genparams.m
2. download the param.zip

The contents of param.zip should be put in a directory named param/ at the top level of the repository. The data is quite weighty (~2GB).

The genparams.m will create the param/ directory by default.

At the end the repository directory should look like:

VKPlate
├── README.md
├── genparams.m
├── magpie
├── main.m
├── img
│   └── ...
├── param
│   └── ...
├── private
│   ├── DxBuild.m
│   ├── DxxBuild.m
│   ├── DxyBuild.m
│   ├── DyBuild.m
│   ├── DyyBuild.m
│   ├── eigensign.m
│   ├── eigenMAC.m
│   ├── trapzIntcalc.m
│   └── vkOperator.m
└── test
    ├── Hcalc.m
    ├── ...
    └── SplitDuffing.m

Once the param/ is populates, run the main.m.

To avoid needless and time consuming recalculation, the central main.m script loads a .mat with all the require variables.

Use the genparams.m script to create the .mat files or download from the latest release (See Directory setup)

Final checks on SAV, different boundary condition, plate under tension

see ./references.md

TBA