Documentation

MATLAB Implementation

The detailed MATLAB implementation can be found in the GitHub. Here we explain the functions of each file and their relationships.

MATLAB Files

1. main.m: Main function, including reading inputs, building structs, and performing simulation.
2. defSimParams.m: Define the numerical parameters for the simulation.
3. defSystemParams.m: Build a struct for the simulated system, e.g., beam, rod, or plate.
4. InitialElement.m: The initialization of each type of element, e.g., stretching elements.
5. defConsParams.m: Define boundary conditions for the simulation.
6. objfun.m: Update the time step by Euler method and optimize the solution by Newton’s method.
7. getForce.m: Loop over all elements to build the global force vector and global Hession matrix.
8. elasticForce.m: Detailed formulation for the local force vector and local Hessian matrix.
9. plotSystem.m: Plot dynamic rendering for the numerical results.

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Table of contents

• Structural dynamic simulation
• Beam: planar curve
• Rod and ribbon: 3D curve
• Axisymmetric shell: rotational surface
• Plate and shell: 3D surface
• Net and gridshell: hollow surface
• Flexible structures with material nonlinearity
• Flexible structures interacting with external environment