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 (irregular-shapped plates) under transverse load and under lateral load
What's New?
Computational design of polygon (irregular-shapped plates) under transverse load (Out-of-plane load)
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Since the last research group meeting, here are quick summaries of what have been done:
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- (1) Algorithm completely implemented.
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- (2) Displacement, stresss, strains, moments, reaction forces and etc have been implemented.
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- (3) Simple validations using existing analytical solutions.
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- (4) Calculation speed increased by 95% percent.
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There are a few more things to be done:
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- (1) Validation using FEA tool.
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- (2) Debugging if any.
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- More details can be found in my previous blog post: Out-of-plane bending under tranverse loading
Computational design of polygon (irregular-shapped plates) under lateral load (In-plane load)
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Here are quick summaries of what have been done, so far:
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- (1) (A lot of) Back ground research.
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- (2) Fully write-up of the algorithm can be found here.
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- (3) Algorithm partially implemented, while still need debugging.
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Current problems:
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- (1) Current mapping seems to work only for maximum 4 deges polygon.
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- (2) Mapping from (x, y) domain into (\(\zeta\), \(\eta\)) has not been done and validated yet. Which may lead to the next problem.
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- (3) In-plane deformation not working as expected. Now using rectangular plates with simply-supported boundary conditions as an example to debug the code.
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There are a few more things to be done:
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- (1) Expand alrorithm to more general cases (this will keep me busy for another week at least).
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- (2) Validation using FEA tool.
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- (3) Debugging if any.
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- More details can be found in my previous blog post: In-plane bending under tranverse loading
Some New Knowlegde (for me)
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Gaussian quadrature: to approximate integration fast.
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Legendre polynomials: used in calculating weights and points in Gaussian quadrature.