Saw tensioning is worth of study as any other subject, but since you make more money selling disposable circular saws to big companies, that's where the science is. Said in other words, you are not gonna get funded to study the tensioning of a ryoba so we need to divert some of the colloidal suspension money into it.
Usually the first step in a research project is to check out the literature and share it with your friends so you start talking the same language. This is what we are doing here.
Our first paper in this study is "Understaind Saw Tensioning" by G.S. Schajer appeared in 1984 in the journal Holz als Roh- und Werkstoff. Here's the link.
I just copy paste the interesting quotes to give you an idea of what the paper is about.
This paper describes the various techniques of circular and band saw tensioning, and explains how they work. It also discusses many of the significant contributions to the literature in this field.
Circular saw tensioninginduces stresses in the sawblade such that the periphery is pulled into tension. These stresses alter the saw vibration fiequencies, and when favorably dis- tributed, they can significantly improve sawblade stability.
The traditional way of tensioning both circular and band saws is by hammering their surfaces. The hammer blows in- dent the saw steel and squeeze it laterally in the plane of the plate. These highly localized deformations induce the tensioning stresses. Harmmer tensioning is very much an art, and great skill and experience is required to achieve good results. When done well, hammering can be as effective as more modern methods. However, hammer tensioning is usually not recommended for general use because the results can be very variable. Also, the hammer blows make the saw blade surface uneven and can initiate fatigue cracks.
A small induction generator heats the sawblade close to the collar to a temp rature in the range 30-80 C. This modest temperature does not cause any permanent changes, such as occur during heat tensioning. Thermal expansion of the heated central region of the saw induces tensile stresses in the unheated outer region. These tensioning stresses exist only while the central region of the saw is kept warm. When the induction generator is turned off; the saw returns to its original state. In practice, the induction generator is controlled so as to maintain a set temperature difference between the inner and outer regions of the sawblade.
Food for thought.
The pictures is from another paper and presents the analysis I plan to make for a ryoba with a shaped surface. These are the normal modes for a circular saw, the way it displaces out of plane. Any vibration of the blade can be decomposed into a sum of these modes, like a string in 1 dimension if you catch my drift.
What you want to do in a saw is to dampen the low frequency modes so the vibrations are high frequency and low amplitude, thus your kerf is straight. Do you achieve this by carving the centre of the blade with the sen? by doing a surface hardening with a burnisher? I bet you can, I bet you do.
Saw tensioning is an obscure subject, but not because being intrinsically difficult or magical, but because the economic conditions of the world had made the subject not worth of research effort while at the same time making the people who knew this art redundant and obsolete. To change this means to work in a lateral way to usual university/research work, freed from corporate interest, based on friendship and love for knowledge. As it used to be, as it should be.
Stay tuned.
This paper describes the various techniques of circular and band saw tensioning, and explains how they work. It also discusses many of the significant contributions to the literature in this field.