18 Jan

#### What's New?

##### Computational design of polygon (irregular-shapped plates) under transverse load (Out-of-plane 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.
##### Computational design of polygon (irregular-shapped plates) under lateral load (In-plane load)
• Here are quick summaries of what have been done, so far:

• (1) (A lot of) Back ground research.
• (2) Fully write-up 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) In-plane deformation not working as expected. Now using rectangular plates with simply-supported 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.