I think the bridge transmits the vibration of the string to the resonating cavity... the leather covered "drum," if you will. I think reinforcing underneath will dampen the amount of sound you get out of it.
This one isn't going to have any leather, so I'm not really sure how much that's going to affect the sound. I'll try getting the walnut pieces glued together and lay them over the body I guess and see what kind of pressure it can take.
Hi Lisa,
I enjoy following your builds, and I applaud your can-do attitude and accomplishments.
I never made a sanshin, nor do I know a lot about them. However, I have plenty of experience with various other standard and unorthodox stringed instruments, so I will offer my opinion on this part of your build. I take it that you have mostly been making electric instruments thus far (my apologies if that's incorrect), but some of the principles are a little different in acoustic instruments.
The first principle to take note of is that, since strings have such a tiny surface area, they hardly move any air and thus, by themselves, hardly make any sound. So, the strings transmit their vibration through the bridge to the instrument top, (or plate or soundboard), which has a much greater area and thus can potentially move a whole lot more air as it vibrates. The top transduces the energy from vibrations into sound, and as such is pretty much the heart of the instrument.
In order for that transducing to be efficient, the top has to be very light, which is why spruce, cedar, or a membrane or skin are common choices. It also has to have a good balance between stiffness and flexibility. If it is not stiff enough, it may collapse, or if it is limp or rubbery, it may soak up vibrations as internal friction and not make much sound. If it is too stiff, it will not vibrate much at the lower frequencies, and if it is too heavy, it will be too hard for the strings to move, and will make only a tiny sound.
You will notice that acoustic guitar makers use all kinds of exotic and gorgeous woods for the backs and sides of guitars, but they more often than not stick to spruce (or similar light and stiff woods such as cedar) for the top. That is because spruce is incredibly strong for its light weight; it has been found to be an ideal top or soundboard wood for many types of stringed instruments. (Yes, there are plenty of spectacularly beautiful guitars with exotic tops, but they are decidedly in the minority, and they require some differences in construction in order to function well).
Of course, membranes are very light, but would be limp and unsuitable if it were not for the fact that they are stretched tightly. The stretching makes them stiff enough to work as transducers. Many instruments, from banjos to erhus, use a stretched membrane successfully in place of a wooden soundboard.
My limited understanding of the sanshin is that it is in the same family as the shamisen, and as such, the skin covering the top
is the top. If I am correct, then this is a defining feature that makes it a sanshin, and replacing the skin with solid wood makes it into some other type of instrument. As an analogy, if you took a banjo and replaced the membrane with a solid piece of wood, it wouldn't really be a banjo any longer (it would be an odd member of the guitar family, I suppose).
In terms of bridge and top relationships, there are two common types: the acoustic guitar type where the strings are anchored in the top and pull on the top as they vibrate, and the violin/archtop/shamisen/piano type where the strings extend past the top and press down on the bridge, which presses down on the top.
In the first (guitar) type, the top is often more or less flat, but has a complex system of bracing to help it to withstand the pull of the strings and distribute vibrations effectively.
In the second (violin) type, there is usually an arch built into the top. This arch helps to withstand the downforce of the strings, and the downforce of the strings helps to stiffen the top. There is surprisingly little bracing in arched instruments. Flat second type instruments such as the banjo or shamisen rely on membrane tension to withstand the downforce. As the downforce increases, deflection of the membrane makes it stiffer, so an equilibrium is reached (assuming that the membrane doesn't tear).
(A third important area of design in acoustic stringed instruments is body cavity size/shape and body and air resonance modes; I'll leave that out of this discussion, but it it critical for instrument design and function.)
Where am I going with all of this?
I am recommending that you use a membrane top for your instrument. That would keep it a sanshin, which is a time-tested design. In general, with acoustic instruments, successive generations of experiments have produced optimal designs for each type, and it is good to stay fairly close to the standard design for one's first few instruments of a type. After you have some experience with that instrument type, you can start to make small variations and explore how the changes affect the sound and response. It is amazing that sometimes if you go even 5% or 10% away from the time-tested design, you can get very different (and often undesireable) results.
But, if you decide to use a wood top, I suggest you use a thin carved spruce arch instead of a flat walnut top. I'm pretty sure that you'll get more sound that way.
In general, I do recommend experimenting, and I am not trying to stifle your creativity. When I want to experiment with a radical instrument design, I tend to knock out a test instrument (testbed) as fast as possible out of scraps to see how/if it will work (and the answer is often "no"). I really do mean scraps, drywall screws, rough bandsawn shapes 2x4's, whatever. If I can get it working acoustically, then I can make a visually pleasing and ergonomic one afterwards.
It's not too late to do some experiments either by making a quick testbed instrument or by temporarily attaching a solid top to your build and stringing it up.
It is not a lot of fun to put tons of time into an instrument and then discover that it won't work musically as you had hoped. And you have done some fine work on this build; I would like to see it come to a fruitful conclusion.
Joe