Skip to content
Permalink
d5a738a582
Switch branches/tags

Name already in use

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?
Go to file
 
 
Cannot retrieve contributors at this time
69 lines (65 sloc) 3.49 KB
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
<head>
<title>Simple 3D Flexible Spacecraft</title>
<meta http-equiv="content-type" content="text/html; charset=Shift_JIS">
</head>
<body>
<div align="center"> <img src="Simple3DFlexSC.GIF" alt="Title"
width="544" height="64">
<div align="left"><b><u>Simulation Control</u></b><br>
<b>time step</b>: Time step for the numerical integration routine<br>
<b>time</b>: Duration of the simulation periond in seconds<br>
<br>
<b><u>Description</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. Although the flexible elements are constrained to move in 1-2
plane<br>
only, the applet is able to simulate the effect of flexibility on the
spacecraft <br>
attitude in three dimensional space.<br>
<img src="Flexible202D.GIF"
alt="2D Flexible Spacecraft Illustration" width="540" height="424">
<br>
<b><u>Inputs</u></b><br>
<b>Ixx, Iyy, Izz</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Principal moments if inertia<br>
<b>m</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160; Tip mass (kg)<br>
<b>a</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Distance as
indicated in the illustration (m)<br>
<b>L</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Length of the
beam as illustrated (m)<br>
<b>EI</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Flexural rigidity
(N m2)<br>
<br>
<b><u>Initial Condition</u></b><br>
<b>u1</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Position of the
first mass<br>
<b>u2</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Position of the
second mass<br>
<b>psi, theta, phi</b>: &#160;&#160;&#160; &#160;&#160;&#160; Euler angles in a sequence of 3-2-1<br>
<b>u1Dot</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Velocity of the first
mass<br>
<b>u2Dot</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Velocity of the second
mass<br>
<b>psiDot</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Time rate of psi angle<br>
<b>thetaDot</b> : &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Time rate of theta angle<br>
<b>phiDot</b>: &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; &#160;&#160;&#160; Time rate of phi angle<br>
<br>
<br>
<br>
<h4><br>
</h4>
<br>
</div>
<br>
</div>
<br>
<br>
<br>
</body>
</html>