yanyu000/opt202

Two projects for OPT202 at ENSTA Paris

OPT202

Two projects for class OPT202 at ENSTA Paris

Author: Tatiana Naomi Yamamoto Silva, Yanyu Zhou

Note: This project is part of the OPT202 course at ENSTA Paris and will be graded. Please do not copy from this project for your own assignments or projects. However, you may use this project as a reference for your own learning and development. If you find any mistakes or issues with the project, please let us know by reporting them to the project team or creating an issue on GitHub. Thank you!

Project 1

This project explores the application of Newton's method for finding the static equilibrium of a chain composed of rigid bars in two-dimensional space. The problem is formulated as an optimization problem, with the constraints initially expressed as equalities. This formulation allows us to apply Newton's method to find the root of the non-linear system of equations, which in turn provides the desired static equilibrium. In the second part we transfer the constraints into inequalities in order to take advantage of convexity. By employing semi-definitive programming, we are able to efficiently solve the optimization problem.