Inertia of door vs. braking torque?

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Discussion Overview

The discussion revolves around the design considerations for a large door with a friction clutch intended to control its rotation and prevent slamming into endstops. Participants explore the implications of the door's mass, moment of inertia, and the effectiveness of the friction clutch in managing the door's motion during operation.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant describes the door's properties, including mass and width, and expresses concern about the effectiveness of a 3Nm friction clutch in controlling the door's rotation.
  • Another participant questions the adequacy of a 10N force applied by an operator, suggesting that this force may not be sufficient to cause the door to slam even without the friction clutch.
  • A participant emphasizes the door's large inertia and the challenge of stopping it once it begins to move.
  • There is a suggestion that the friction clutch could make the door harder to open, potentially leading operators to exert more force, which could complicate control.
  • One participant proposes a method to calculate the door's rotation speed and stopping behavior, considering both the torque applied and the deceleration due to the friction clutch.
  • A later reply introduces the idea of using a velocity-dependent resistance for the friction clutch, referencing a dashpot model.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of the friction clutch and the force required to control the door's motion. There is no consensus on the best approach to prevent slamming or the adequacy of the proposed design elements.

Contextual Notes

Participants discuss assumptions regarding the door's mounting and the operator's force application, which may affect the calculations and conclusions drawn. The discussion includes considerations of inertia and the dynamics of motion, which remain unresolved.

ghobbs
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Hi. I'm designing what effectively is a large door on hinges. The door has the following properties

Mass = 336 kg
Width = 1.8m

The door rotates from closed position through 45deg to open position. In order to 'control' or damp the rotation of the door, I'm fitting a 3Nm friction clutch on the hinge axis.

What I'm struggling to calculate is - Is the friction in the friction clutch high enough to effectively control the rotation of the door without it slamming into it's endstops in the open and closed positions?

I know the torque. I can calculate the door's moment of inertia. I can guess at the force that an operator might push the door - 10N? If 10N is reasonable, then the torque exerted is 18Nm. So, the friction clutch will easily be exceeded, which is good because otherwise the operator wouldn't be able to open/close the door.

But where I'm struggling is to understand how the friction will retard the rotation of the door to prevent it slamming into the endstops.

Any help much appreciated. Thanks.
 
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This is a rather heavy door, but you have not stated how it is mounted on its hinges. Is this a normal door with the hinges in-line vertically? Or is it mounted in some other manner?

In any event, 10N doesn't seem like enough force to cause this door to slam even without any friction clutches mounted. If you want to slam a room door, for example, you don't give it a gentle 10 N nudge, you grab the door with your hand and swing your arm across your body.
 
It's essentially a rack of equipment, but to all intents and purposes it's a heavy door.

There are 2 hinges in line vertically.

My concern is that due to the large inertia, once the door starts moving it won't easily stop.
 
Will adding a friction clutch make the door harder to open? You might just encourage the operator to pull harder.

If you know the torque that can be applied and the moment of inertia you can work out how fast an operator could get the door rotating from a standing start.

Torque = moment of inertia * angular acceleration

Perhaps assume he pulls hard and keeps accelerating the door until it reaches say 45 degrees open. Work out how fast it's rotating at that point

Then perhaps assume that at the 45 degree point he stops trying to accelerate the door and allows it to coast towards the end stops. It will decelerate due to the torque from the friction clutch and you can work out how fast it will be going when it hits the end stops (or even if it will hit the end stop).

I'm thinking you might do better to build a shock absorber and damper into the end stops because the forces involved will also depend on the stopping distance.
 
ghobbs said:
I'm fitting a 3Nm friction clutch on the hinge axis.
For this purpose the resistance should be velocity dependent, rather than constant:

http://en.wikipedia.org/wiki/Dashpot
 

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