//Engineer4free – Statics Wikipedia – Linkage (mechanical)
I am brushing up on my old statics topics to help work on a project. I am just gathering up some of them here to go over in the near future. The main focus for now will be general statics and possibly linkages.
//Vimeo – Concept for Engineering Statics Game
This was a quick proof of concept to show the idea from the last post at work. This concept takes inspiration from the hands on engineering kit that used masses on strings tugging on a central ring object to teach topics such as center of mass and vector math.
The forces from the nodes on the ring are calculated to emulate that of a mass attached to a string. Each node has a mass value associated with it (which would be the mass hanging off of it in the real world kit), and this influences how much force that node is applying to the main circular object. Moving the nodes or changing their mass value will influence the position of the ring, as it effectively represents the center of mass of the entire system through the forces applied by the nodes.
Using a simple example, I was quickly able to run a test to double check if the values provided by this toy were matching that of the true calculations and they did for the single test I’ve run so far. The center of mass equations of a system of particles was used, which can be found here on Wikipedia: Center of Mass – Wiki
//Youtube – AddForce – Unity Official Tutorials
The bare basics of scripting forces in Unity with rigidBody’s. The AddForce can take two inputs: a vector for direction and magnitude, and what type of force it is.
Youtube – AddTorque – Unity Official Tutorials
The bare basics of scripting torques in Unity with rigidBody’s. The AddTorque can take two inputs: a vector axis to apply torque around, and what type of torque it is. This is very similar to AddForce. Important to remember, Unity uses “LEFT HAND RULE” for rotation.
EF-1.1 – Statics – Forces experiment kitYoutube – EF series video Statics Forces 1 1 3
The links are similar videos, the first is just directly to the site of those that made the kit, and the second is a Youtube link. This kit provides hand on experience for understanding a lot of topics based around static equilibrium. Topics such as 2D shape center of masses, force vectors, and much more can be covered with this tool.
Following the general idea of the kit shown above, the game environment is populated with nodes that apply controllable forces to a central ring object. These forces can be altered to change the position of the ring. The environment will spawn collectibles that the player must direct the ring towards in order to collect them. To move the ring, they will need to intelligently alter the forces applied by the nodes.
//This is just a list of useful terminology for understanding rigid body deformations in the real world in an effort to translate them into a virtual setting, preferably for games. I am currently looking into research that uses finite element analysis and modeling techniques in order to create physically accurate deformations in real-time in a video game setting.
//Covers a lot of basics on forces all the way up to shear force and bending moment diagrams.