Group 1 2012 Gate 4
Blabbity blab blab we put the piano back together an' shit.
Cause for Corrective Action
The decision to decentralize the work involved in completing Gate 3 by assigning each group member a specific task and having no group meetings proved to be highly effective in minimizing the total amount of time spent on the project while still providing an acceptable degree of quality. Given the fractured and busied nature of everyone in the group's schedule during this project gate, we will continue to use this method to complete Gate 4.
In the end we need to answer these: How difficult is each step? How can you define a meaningful scale to rate the difficulty? How was the product originally assembled (by hand, robot, etc.)? Is the assembly the same as the disassembly?
The majority of motion in a piano relies on interconnected levers to transmit energy or control to the strings. However, the initially simple motions of each individual part interact to create a very controllable set of movements necessary for piano playing. In the action and elsewhere, there are push rods and pull rods that effectively create our-bar mechanisms.
- Modified four-bar linkage
- The slow, short range-of-motion movement of keys translates to fast, wider-angle movement of the hammer. Then the linkage collapses and allows the hammer to retract.
- The key is connected to a central lever in the action. The lever has a push rod that acts as a couple to the hammer bar. The hammer bar is also a lever that amplifies motion. The push bar falls out of place at the top of the key's motion and allows the hammer to return under gravity.
- Fuck math. I'll get that in a bit …
For the four-bar linkage to model the hammer movement, the contact point between the top of the push rod and the hammer body must be idealized as an axle pivot.
"Your group must identify one or more mechanisms that your device uses to generate specific motion, control system behavior, modify/condition energy, etc"
They say we only need one. I don't believe them.
- Technical Name
- "how the mechanism works"
- Equations governing the design of the mechanism
Based on our analysis of the piano so far, and our understanding of the GSEE factors, three different revisions to the traditional piano could be made that would modify its design on the system level. These revisions would address issues that we identified.
One of the issues with the piano is that it is too large and heavy. This limits its mobility, as well as places where it can be used. A solution to this would to reduce the number of keys in the piano itself. By cutting the number of keys in half, this would greatly reduce the size of the piano and its overall weight. This would increase its overall mobility, and its smaller footprint would allow the piano to be placed in more locations. Taking note of societal factors, the keys that would be eliminated would be those at the two extremes of the note range. This would make sure that the piano could still play a large number of piano compositions, that hover around the notes near middle C.
A second solution could also address the issue of the size, weight, and mobility of a traditional piano. Most of the current piano's size and weight come from the soundboard. With enough experimentation and research, the soundboard could be modified so that the same sounds could be produced, while changing the strings length, orientation, and tension. By doing this, the overall structure of the piano could be much smaller and significantly lighter. This could be beneficial to the consumer from an economic standpoint, since less material would be needed to make it so the price would go down. This also would take note of global factors, as the piano could now be moved around much easier and be played in places that it could not be done before.
Another issue with the full size piano, is that it is difficult for children and people with small hands to extend their fingers far enough to consistently play certain chords. The solution for this would be to integrate auxiliary keys to the original piano set up, that would hit the notes of the chord with a single depressed key. This takes into account societal factors by increasing the number of people that can learn to play the piano, even before their have grown to the ideal playing size, or if they never will.