No.14386893 ViewReplyOriginalReport
Hello /sci/,

I am interested in the mathematics and physics of multi-bodied autonomous things that can move themselves from one point to another by supporting their weight and navigating terrains e.g. animals and robots.

Is there anyone else interested in this? Can anyone recommend any good resources specific to this topic?

I am interested in the various levels of how this problem can be modelled, from crude simple kinematics using basic trig to full dynamic assemblies constructed with finite elements, weighted meshes, and controlled with modern techniques such as MPC. The holy grail of this work is likely to be an automaton that moves and carries itself so efficiently that the average person may mistake its gait and locomotion as something natural, a turing test but with body language.

I think it's safe to say that pretty much everyone here will be capable of solving simple linkage mechanisms, despite not being explicitly taught this in high school. For many it will be their first practical experience using vectors in their component form. It will also be the first step in learning how kinematic chains work in their most simple and manageable form. With very little work some non-differential physics can be included to demonstrate the dynamic characteristics of velocity and acceleration.

I think this is as far as you can go before requiring some calculus and linear algebra as pre-requisites. With the future being exponentially more dependent on increasingly complex robots I believe it's critical that this topic be simplified and structured to levels where it can be taught to children effectively.