Mathjax

Tuesday, January 3, 2017

Hasty Post on Modeling Equations

My last post on Introduction to Introduction to the Model Derivation and Overview of Equations was a bit hasty.  After finding a way to link documents that actually transferred the equations, I was eager to try it.  However, there are still some problems with the linked document.  The equation numbers have been stripped so there are gaps in the text where the reference is given and there are no numbers attached to any equation.  The other problem is that I was actually in the midst of an update on this version to add external load.  I had not gotten very far but the incomplete editing would probably be confusing.  The equations are difficult enough to understand without the inconsistencies inflicted by the author.

Please give me your forbearance.  I will update the document as I have time over then next few days. In the meantime, some comments from readers would be appreciated.

Monday, January 2, 2017

Introduction to the Model Derivation and Overview of Equations

In this linked document, the overall layout of modeling equations is described.  The matrix form of each equation is given.  Detailed derivations of the matrix elements will be given in subsequent posts.

It appears that the equation numbers generated by Mathtype are not recognized by Googledocs and are not given.  This may make the document unusable. Please advise if you cannot follow the text because of this problem.

Overview of Matrix Structure of Wheel Model

Background on Bicycle Wheel Modeling and Wheel Truing

In this post, I have uploaded my background section from my derivation of the truing algorithm.  Please comment if the link works for you and you can read the document.

Background on the Bicycle Wheel Model and Truing Algorithm

Reintroduction

In the linked document below, I have updated the introduction to the bicycle wheel.  This post is a small experiment.  If it works, I will publish my wheel derivation in sections.  Let me know in the comments if you are able to go to the link and read the document.  There are a couple of equation objects that are almost correctly formatted.  The only problem is that the symbol appears above the line rather than on the line as intended.  

Introduction