Lever
The lever.
blockType: AcausalFoundation.Mechanical.Mechanisms.Lever
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Description
Block Lever It is a mechanical lever in its general form. The scheme of application of forces is shown in the diagram below.
The lever equations are given for a negligible angular deviation from the initial position:
Where
-
— speeds of knots.
-
— forces applied to the nodes.
-
— lever shoulders.
The above equations are obtained under the assumption that the lever sums the forces and displacements at node C. This assumption is arbitrary and does not impose any restrictions on how forces or displacements are applied to the lever. In other words, any of the lever nodes can be an input or an output node, depending on the magnitude of the force. Moreover, any of the nodes of the block can be connected to a reference point, thus turning a lever with three nodes into a lever of the first kind (with a fulcrum in the middle) or a lever of the second kind (with a fulcrum at one of the ends).
The following figure shows a diagram of a lever of the first kind with a fulcrum in the middle.
It is described by the following equations:
The following figure shows a diagram of a lever of the second kind with a fulcrum in node A.
It is described by the following equations:
Absolute displacements of nodes are accepted as positive if they correspond to a globally specified positive direction.
Ports
A — lever assembly A
translational mechanics
Mechanical translational port, corresponds to node A.
B — lever assembly B
translational mechanics
Mechanical translational port, corresponds to node B.
C — lever assembly C
translational mechanics
Mechanical translational port, corresponds to node C.
Parameters
AC arm length, m — the length of the arm between nodes A and C
0.1 m (by default)
The length of the shoulder between nodes A and C.
BC arm length, m — the length of the arm between nodes B and C
0.1 m (by default)
The length of the shoulder between nodes B and C.
Initial value of force at A, N — initial value of force at point A
0.0 (by default)
The initial value of the force at point A.
Initial value of force at B, N — initial value of force at point A
0.0 (by default)
The initial value of the force at point B.
Initial value of force at C, N — initial value of force at point A
0.0 (by default)
The initial value of the force at point C.