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| <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> | |
| <html> | |
| <head> | |
| <title>Simple 2D Flexible Spacecraft</title> | |
| <meta http-equiv="content-type" content="text/html; charset=Shift_JIS"> | |
| </head> | |
| <body> | |
| <div align="center"> <img src="Simple2DFlexSC.GIF" alt="Title" | |
| width="544" height="64"> | |
| <div align="left"><b><u>Simulation Control</u></b><br> | |
| <br> | |
| <b>time step</b>: Time step for the numerical integration routine<br> | |
| <b>time</b>: Duration of the simulation periond in seconds<br> | |
| <b><u><br> | |
| </u></b> </div> | |
| <div align="left"><b><u>Description<br> | |
| </u></b><br> | |
| A flexible spacecraft is modeled as a central rigid body with two massless | |
| beams<br> | |
| attachd symmetrically to the side of the central body. Each beam has | |
| a <br> | |
| concentrated mass at the tip. The flexibility comes from the flexural | |
| rigidity EI of <br> | |
| the beams.<br> | |
| <img src="Flexible202D.GIF" | |
| alt="2D Flexible Spacecraft Illustration" width="540" height="424"> | |
| <br> | |
| <b><u>Inputs<br> | |
| </u></b><br> | |
| <b>J</b>:                     Moment of inertia<br> | |
| <b>m</b>:                     Tip mass<br> | |
| <b>a</b>:                     Distance as indicated in | |
| the illustration above (m)<br> | |
| <b>L</b>:                     Length of the beam (m)<br> | |
| <b>EI</b>:                     Flexural rigidity of the | |
| beam (N m2) <br> | |
| <b><u><small><br> | |
| </small>Initial Condition<br> | |
| </u></b><br> | |
| <b>Alpha</b>:             Spacecraft angular position <br> | |
| <b>u1</b>:                 Position of the first mass<br> | |
| <b>u2</b>:                 Position of the second mass<br> | |
| <b>AlphaDot</b>:        Spacecraft angular velocity <br> | |
| <b>u1Dot</b>:             Velocity of the first mass<br> | |
| <b>u2Dot</b>:             Velocity of the second mass<br> | |
| <br> | |
| <img src="2DFlexInputOutput.GIF" alt="Input and Output" width="606" | |
| height="745"> | |
| <br> | |
| <h4><br> | |
| <br> | |
| </h4> | |
| </div> | |
| <br> | |
| </div> | |
| <br> | |
| <br> | |
| <br> | |
| </body> | |
| </html> |