FBV Design

Brett Nordgren and Dave Nelson's discussions of their vertical seismometer sounded very interesting in the time period of around August 2008. The ability to achieve a broadband response from 50 seconds to 20Hz or so was too enticing to resist. I liked the idea of feedback but their design required many machined parts and I did not have access to an end-mill or know how to use one. So why not put feedback on a vertical seismometer that could be built using only a drill press and band saw. The Inyo FBV is nice and compact with a beam mass of about 150 grams and requires a magnet/coil design of about 15 N/A (Newtons/Amp). The vertical design I had in mind would be larger with an estimated beam mass of 300mg, . The larger mass means a magnet/coil design with a higher N/A. Next step was the magnet design process. Magnet design was achieved using the software tool FEMM. This is a no cost application for designing magnets. It is easy to use. After about 24 iterations while adjusting various physical parameters, design 18 was chosen as the design to use and build. The mechanical description is shown here and the magnet/coil design achieved 45 N/A. The magnet center-line is on the left side of the drawing. The flux diagram showed a good uniform flux in the air gap. The flux density along the air gap is shown here. Keep in mind that the Inyo FBV seismometer does not need a magnet/coil assembly with a N/A of 45. A value of 15 is all you need. The coil design called for 1200 turns of 30 gauge wire. The magnet and coil were built and then tested to confirm the design. A frequency scan on the vertical seismometer with the coil/magnet was also completed and that's where it was concluded that the original concept of vertical seismometer with a long beam and diagonal spring was not going to work with the feedback envisioned.
Plan 2
Follow the Inyo FBV seismometer design. Brett put together a very nice isometric drawing of their FBV unit.
 
Inyo FBV Seismometer
 
 
 
I used the QCAD drawing tool to complete a set drawings for all the machined parts required. Part dimensions were scaled off Brett's drawings. QCAD is beautiful application for generating 2 dimensional drawing and price is very reasonable at 24 Euros. Get the book too if you are new to Autocad type applications. Once you get the 'hang' of how to use QCAD, you will be amazed how quickly one can put a drawing together suitable for a machine shop. The hinges for the seismometer consist of 0.002" thick SS shim stock, .50" wide. My magnet was taller than the original Inyo unit so I had to make the vertical supports a little taller. That is about all I changed. I built the parts that needed a drill press and or band saw and went to a couple machine shops for the parts needing milling or sheet metal work on a brake. The parts were assembled and everything fit the first time. The spring is made from 17-7 stainless steel sheet and .012" thick. The weight of my coil or beam was heavier than Dave and Brett's and that meant the spring width needed to be wider too in order to support the beam. The width of the spring took a little cut and try and ended up to be .850" wide. A reasonable goal is to achieve around a 3 second pendulum period. It is useful to have a little trim mass to make small adjustments in the period without adjusting the spring length in the clamps. Don't spend too much time adjusting the period until the spring material has been heat treated. Heat treatment is a 900 degrees F. for one hour. I used my home oven in the 'Cleaning Cycle' for heat treating the spring material. The temperature of the oven was monitored with a T/C. Max temperature recorded was 880 degrees F. This seemed to be quite sufficient. After heat treatment the spring coefficient is slightly higher and is very stable with time, no creep. Next step, the electronics. Dave's PCB was partially assembled with just the components associated with measuring sensor plate position and power supplies. With these parts installed one could measure position sensitivity.
 
 
The sensor plate position was measured with a dial indicator while the sensor circuit voltage was recorded and the sensor plate was moved over a plus/minus 0.030" distance. Notice the very linear output for more than plus/minus .010". This raw sensor data calculates out to 1.24 volts/mm. We now know all the fixed mechanical parameters that we need to enter into Brett's 'loop7' spreadsheet. Loop7 spreadsheet is the integral tool needed complete the Inyo FBV seismometer and is used to determine the various resistor and capacitor component values for inserting in the printed circuit board. Now that you have the resistor and capacitor values for the PCB, now for assembling the board. Be sure to use the 'No Clean' solder. This solder has flux that does not leave a residue that could cause a leak path your high resistance resistors and high capacitance capacitors. Attach the PCB to your seismometer and connect the Signal A and Signal B outputs to your A/D converter. Next connect the DC voltage. But be sure you have the unit mounted on a very stable surface. I have mine resting on terra-cotta tile that is firmly cemented to a basement concrete floor. You also need to make sure you at least some sort of insulated box covering the seismometer to shield the unit from temperature variations and air movements. You have to do this, otherwise you just see a big mess, I know from experience. Below is a typical high-gain output with just an insulated box covering the unit.

High Gain 24 Hour Display with Insulated Cover.

 Notice the high noise content. Most of this noise is related to atmospheric buoyancy which effect vertical seismometers and can be corrected with an air tight container.
 
FFT Display of a 45 Minute Trace of the Above 24 Hour Heliplot with Insulated Cover.
 
As you see the peak energy is at 2 minutes with a secondary peak at 10 seconds. With this FBV seismometer, you really need a sealed case.

High Gain 24 Hour Display with Sealed Air Tight Case and Insulated Cover.

About half way through the above 24 hour heliplot you will notice a flat line. At that point in time I stopped WinSDR and attached and sealed the cover on the airtight case protecting the FBV seismometer from atmospheric buoyancy effects. You will notice an immediate drop in the noise level. It seems to come back again a few hours later, but that was probably due to other noise sources such as the ocean surf about 50 miles away. By the way at bottom of the display is the M5.9 quake that occurred in Nicaragua at 3:37UTC. That was 41 degrees away from Palo Alto CA.
 
FFT Display of a 45 Minute Trace of the Above 24 Hour Heliplot with Airtight Case and Insulated Cover.
 
Notice the much different signature in FFT plot when the air tight case in place. Now the peak noise is at around 9 seconds and the 2 minute noise is much lower.
 
Air Tight Case
 
The case was made from 3/8" thick polycarbonate plastic. 4-40NC thread stock was cemented into the edge of the cases's top edge with a spacing of about 3". There is also .062 thick rubber gasket that assures an air tight seal. The bottom of the box is open, but the edge is fitted with 3M Windo-Weld Ribbon Sealer that is 3/8" is diameter. This material is very pliable and somewhat sticky and easy to form an airtight seal to the floor. For the feed-thrus, I used RCA coax panel mount connectors and then used RCA coax cables to connect to the A/D converter.
 
Inyo FBV Seismometer with Air Tight Case in Place.
 
A styrofoam box made from 2" thick foam is placed over the air tight case to provide additional insulation from temperature changes. The foam box also provides some isolation from outside noises such as when someone walks by the seismometer. The seismometer is in the wine cellar.
 
Let me know if you have any questions or comments.