Energy Balance of a Dean Device Space Elevator
Posted: Fri Nov 06, 2009 3:25 pm
I have posted a thread on Thrust from Centripetal forces, and another thread on the Space Elevator competition, here viewtopic.php?t=1565 and here viewtopic.php?t=1579 Both are short threads.
The Centripetal Forces device devolved into a Dean Device and fails to lift for a lack of a fulcrum to impart a reactive force. I propose an energy balance evaluation of a device combining the two concepts.
That is, I propose a Space elevator car lifted by a Dean Device, where the fulcrum of the Teeter-totter on the Dean device is attached to the Space Elevator cable using a one-way brake. The anchor point of the fulcrum is allowed to freely rise, but not allowed to slip downward. This way the lift from the centripetal forces will be applied to the elevator car but the reactive forces resulting from stopping the downward momentum of the spinning masses will be transferred to the cable.
Using fully ideal components, I don't see where the energy balances. Obviously, energy includes the potential energy stored (the mass of the elevator car times height in the gravity field) plus any kinetic energy of the elevator car that might be imparted. So when I wrote above, "I propose an energy balance evaluation," I meant, "I propose that you guys do an energy balance evaluation." To me, I see only the proposed benefits of a Dean type of lifting device so the energy required is just that needed to operate the device to overcome real-world losses with nothing extra required to lift the elevator car. If that were true, such a device would greatly simplify the beamed power requirement as well as the climb time limitation.
The Centripetal Forces device devolved into a Dean Device and fails to lift for a lack of a fulcrum to impart a reactive force. I propose an energy balance evaluation of a device combining the two concepts.
That is, I propose a Space elevator car lifted by a Dean Device, where the fulcrum of the Teeter-totter on the Dean device is attached to the Space Elevator cable using a one-way brake. The anchor point of the fulcrum is allowed to freely rise, but not allowed to slip downward. This way the lift from the centripetal forces will be applied to the elevator car but the reactive forces resulting from stopping the downward momentum of the spinning masses will be transferred to the cable.
Using fully ideal components, I don't see where the energy balances. Obviously, energy includes the potential energy stored (the mass of the elevator car times height in the gravity field) plus any kinetic energy of the elevator car that might be imparted. So when I wrote above, "I propose an energy balance evaluation," I meant, "I propose that you guys do an energy balance evaluation." To me, I see only the proposed benefits of a Dean type of lifting device so the energy required is just that needed to operate the device to overcome real-world losses with nothing extra required to lift the elevator car. If that were true, such a device would greatly simplify the beamed power requirement as well as the climb time limitation.