40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop
  40m Log  Not logged in ELOG logo
Message ID: 6105     Entry time: Mon Dec 12 11:34:40 2011
Author: Leo Singer 
Type: Summary 
Category: General 
Subject: Some design parameters for a Stewart platform 

At the suggestion of Rana and Koji, I have worked out some design parameters for a Stewart platform to be used as a vibration isolation device or as a platform for characterization of suspensions.  I have made some initial guesses about the following design requirements:

  • linear travel: 40 microns peak to peak (based on SOS design requirements in LIGO-T950011)
  • angular travel: 3 mrad peak to peak (based on SOS design requirements in LIGO-T950011)
  • payload mass: 5 kg (wild guess of mass of loaded SOS)
  • payload moment of inertia: 0.01 kg m^2 (wild guess)
  • bandwidth: 500 Hz (suggestion of Rana and Koji: ~kHz)

From these assumptions, I have worked out:

  • peak actuator force: 0.88 kN
  • minimum radius of top platform: 15 cm
  • minimum radius of bottom platform: 30 cm
  • minimum height: 26 cm

The combination of high force, high speed, and ~micron travel limits seems to point to piezoelectric actuators.  PI's model P-225.80 would meet the peak push-pull force requirement, but I have not yet determined if it would meet the bandwidth requirement.  Apparently, typical piezoelectric actuators can exert a greater push force than pull force; wonder if one could use an actuator with a smaller force range than the P-225.80 if the actuator is biased by compression.  (Is this what is meant by a "preloaded" actuator?) 

I have attached a PDF explaining how I worked out the actuator force and platform dimensions.  (I'll try to dice up this PDF and put the contents in the Wiki.)  I also have a plant model in MATLAB with which I have been playing around with control schemes, but I don't think that this is ready to show yet.

Here are some tasks that still remain to be done for this preliminary case study:

  • select sensing technologies: integrated linear encoders and/or strain meters, inertial sensing, optical levers, etc.
  • study joints: Koji and Rana suggest flexures; I need to propose the joint geometry and material
  • study internal modes of the platforms and actuators themselves
  • build noise budget

I'd like to ask for input principally on:

  • appropriateness of my design assumptions
  • piezo actuators currently in use in the lab

 Edit: I also added a Mathematica notebook with the inverse kinematics (mapping from platform state to leg lengths) of the platform. 

 

 

 

 

 

Attachment 1: stewart.pdf  179 kB  | Hide | Hide all
stewart.pdf stewart.pdf stewart.pdf stewart.pdf stewart.pdf stewart.pdf stewart.pdf
Attachment 2: stewart.nb  15 kB  | Hide | Hide all
(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 8.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
... 377 more lines ...
ELOG V3.1.3-