How to Calculate Truss Deployment in Space?

In summary, the conversation discusses a problem involving the deployment and rotation of a truss attached to a hinge point in zero gravity. The truss must rotate 123° and is affected by torsion springs, a damper, friction, and rotational inertia. The problem requires setting up an equation to solve for position and velocity relative to time.
  • #1
rambo451
1
0
I am having trouble getting started with this problem, any advice would be great.

A truss is attached to a hinge point in space (zero gravity), it must deploy from the stowed postition and rotate 123°. Attached to the hinge are 4 torsion springs which have a spring constant of 50 (in-lb)/turn and together have a starting torque 300 in-lbs. Also attached at the hinge is a damper to slow the speed down which has a value of 3900 (in-lb-radian)/second and the truss must overcome friction at the hinge which equals 30 in-lbs. The truss has a rotational inertia of 567,250.5 lbs-in^2. Assume angular velocity (ω) at time t=0 is 0. at Set up an equation to solve for position relative to time θ(t) and velocity relative to time v(t).

must rotate: 123°
spring starting torque: 300 in-lb
friction: 30 in-lb
damper: 3900 (in-lb-sec)/radian
rotational inertia: 567,250.5 lbs-in^2
ω_t@0=0



Homework Equations


ωf=ωi*a*t


The Attempt at a Solution


Can anyone tell me how to start this problem.
 
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  • #2
I'm not sure what equations to use or how to set up the equation to solve for position relative to time θ(t) and velocity relative to time v(t).
 

FAQ: How to Calculate Truss Deployment in Space?

What is a truss in space?

A truss in space is a structure made up of interconnected bars or beams that is used to support and distribute weight in space. It is typically made of lightweight and strong materials such as aluminum or carbon fiber and is designed to withstand the harsh conditions of space.

How is a truss deployed in space?

A truss is typically deployed in space using robotic arms or astronauts during a spacewalk. The truss is carefully unfolded and extended to its full length, and then its connecting points are locked into place to ensure stability.

Why is a truss important in space missions?

A truss is an essential component in space missions as it provides structural support for various equipment and payloads, such as solar panels, communication antennas, and scientific instruments. It also helps to distribute weight and reduce stress on the spacecraft.

How do scientists ensure the successful deployment of a truss in space?

Scientists and engineers carefully design and test the truss before it is sent into space to ensure its structural integrity and functionality. They also use computer simulations and ground tests to anticipate potential problems and make necessary adjustments to the deployment process.

Can a truss be repaired or replaced in space?

In some cases, a truss in space can be repaired by astronauts during a spacewalk if it sustains damage. However, if the damage is significant, it may need to be replaced entirely. This can be done by sending a new truss module to the spacecraft and performing a spacewalk to remove the damaged truss and install the new one.

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