04 Feb

IROS paper plan

Chang Liu

Validation of our approach How compare accuracy There are different ways of comparing result accuracy: Ratio of the maximum deflection calculated by the numerical solution to the corresponding values obtained analytically [1] [2] Ratio of deflection of deflection at a particular point...

26 Jan

Computational Design of Foldable Robotic Systems

Chang Liu

High-Level Review (Previous Post) Entire project (Please note: this flow chart is constantly being updated) Current project (Please note: this flow chart is constantly being updated) Sub-project (Please note: this flow chart is constantly being updated) Current Project: Computation...

18 Jan

Plate Buckling Study, Irregular-shaped plate, Details

Chang Liu

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)...

08 Jan

Plate Buckling Study, Irregular-Shaped Plate

Chang Liu

I am currently studying this paper On Solving the Irregularly-Shaped Plate Buckling Problem. "Traditional finite element theory assumes a set of displacement functions that are nodally based and minimizes the potential energy with respcct to the nodal coordinates." "The method of this pa...

06 Jan

Plate Buckling Study

Chang Liu

Remarks, Week 12/18/2020 Calculation speed increased 50% for calculating trial functions (Turns out more work need to be done for this part during the next two weeks). Automatically determine minimum polynomial order. Calculation speed increased >90% during calculation of residual...

30 Dec

Plate bending, Method of Weighted Residual (MWR) & Plate Buckling

Chang Liu

Remarks MWR for plate bending, code clean up. Code can be found here Plate buckling research. Try solving buckling equation using MWR. (Result: Not how it works. So I need to try something else.) Details Dec 28, 2020 (Monday) MWR for plate bending, code clean up. Code can...

24 Dec

Plate bending, Method of Weighted Residual (MWR), Debugging Trial Function Calculation Method & Free Boundary Condition

Chang Liu

Remarks Solving trial function calculation problem. Visually reasonable results achieved with reasonable / faster calculation time. (The problem is when changing symbolic expression to double numerical value, numbers are cut to 17 digits, which is not accurate enough and cause more trouble. The...

18 Dec

Plate bending, Method of Weighted Residual (MWR), Increasing Calculating Speed

Chang Liu

Remarks Calculation speed increased 50% for calculating trial functions. Automatically determine minimum polynomial order. Calculation speed increased >90% during calculation of residual integral. The way to do this is by implementing a new integration method. The new method and th...

18 Nov

Identifying weak points and failure modes in foldable structures, different methods exploration

Chang Liu

Method of Weighted Residuals + Galerkin Method "Reduce the continuous-system mathematical model to a discrete idealization." "In applied mathematics, methods of mean weighted residuals (MWR) are methods for solving differential equations. The solutions of these differential equations are assumed...

16 Nov

Weak Point in Foldable Robot, weekly update & plan

Chang Liu

High Level Project Goal (A review of previous post) Following the research plan presented last week (link to previous post: https://uclalemur.com/blog/computational-design-of-foldable-robots-high-level-flow-chart), more progress has been made. A Reminder of Previous Method Previously, in Sep...

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