Goal: Computational design of foldable robot system
 Computational design of foldable robot bodies, under mechanical specifications (e.g. loading condition)
 Computational design of building plates in foldable robot bodies
 Computational design of polygon (irregularshapped plates) under transverse load and under lateral load
What's New?
Computational design of polygon (irregularshapped plates) under transverse load (Outofplane load)

Since the last research group meeting, here are quick summaries of what have been done:

 (1) Algorithm completely implemented.

 (2) Displacement, stresss, strains, moments, reaction forces and etc have been implemented.

 (3) Simple validations using existing analytical solutions.

 (4) Calculation speed increased by 95% percent.

There are a few more things to be done:

 (1) Validation using FEA tool.

 (2) Debugging if any.

 More details can be found in my previous blog post: Outofplane bending under tranverse loading
Computational design of polygon (irregularshapped plates) under lateral load (Inplane load)

Here are quick summaries of what have been done, so far:

 (1) (A lot of) Back ground research.

 (2) Fully writeup of the algorithm can be found here.

 (3) Algorithm partially implemented, while still need debugging.

Current problems:

 (1) Current mapping seems to work only for maximum 4 deges polygon.

 (2) Mapping from (x, y) domain into (\(\zeta\), \(\eta\)) has not been done and validated yet. Which may lead to the next problem.

 (3) Inplane deformation not working as expected. Now using rectangular plates with simplysupported boundary conditions as an example to debug the code.

There are a few more things to be done:

 (1) Expand alrorithm to more general cases (this will keep me busy for another week at least).

 (2) Validation using FEA tool.

 (3) Debugging if any.

 More details can be found in my previous blog post: Inplane bending under tranverse loading
Some New Knowlegde (for me)

Gaussian quadrature: to approximate integration fast.

Legendre polynomials: used in calculating weights and points in Gaussian quadrature.