Hinge joint





| C |
in the palette on the schematic
The block is designed to simulate the rotary motion of two bodies having a hinge joint. In combination with the block Hinge-slider joint,it allows you to simulate the mechanism shown in the figure (Figure 1).


Figure 1. Hinge joint

The block allows you to simulate mechanisms in which the fastening planes of the hinges C1 and C 2 are parallel or perpendicular (fastening to a vertical plane). The figure (Figure 1) shows a mechanism with a parallel arrangement of the hinge attachment planes. In case of arbitrary arrangement of the hinge attachment planes, this should be taken into account when determining the angle α.

The block is described by the following equations:







where:
  • ω1 and ω2 – angular speeds at ports "C1" and "C2", respectively, rad/s
  • εC and εR – angular accelerations at ports "C1" and "C2", respectively, rad/s2
  • T1 and T2 – torques applied to ports "C1" and "C2", respectively, Nm
  • K – coupling coefficient
  • R1/R2 – ratio of distances between hinges (Figure 1), m
  • α – angle between the bodies, rad. As a rule, it is determined by the difference between the angles φ1 and φ2 (Figure 1)

The block determines the torques T1 and T2 by solving the coupling equation.

Inputs

Name Description Connection line type
C1 Port for connecting model blocks to a rotating body Rotary mechanics
C2 Port for connecting model blocks to a rotating body Rotary mechanics
A Specified angle between bodies Mathematical
R1/R2 Set ratio of the distances between the hinges Mathematical

Outputs

None.

Properties

Title Parameter Description By default Data type
Location of hinge attachment surfaces Orient Allows you to set the location of surfaces. The possible values are: "Perpendicular", "Parallel" Perpendicular Перечисление
Time constant for solving the nonlinear algebraic equation, s Tau The time constant for solving the nonlinear algebraic equation. Used to solve the coupling equation 0.01 Вещественное

Parameters

Name Parameter Description Data type
Port С1 A group of parameters displaying the parameters of rotary motion at the port "C1"
Turn angle, rad Fi1 Turn angle value at the port "C1" Вещественное
Angular speed, rad/s W1 Angular speed value at the port "C1" Вещественное
Angular acceleration, rad/s2 Eps1 Angular acceleration value at the port "C1" Вещественное
Torque, Nm T1 Torque with which the block acts on the bodies connected to the port "C1" Вещественное
Port С2 A group of parameters displaying the parameters of rotary motion at the port "C2"
Turn angle, rad Fi2 Turn angle value at the port "C2" Вещественное
Angular speed, rad/s W2 Angular speed value at the port "C2" Вещественное
Angular acceleration, rad/s2 Eps2 Angular acceleration value at the port "C2" Вещественное
Torque, Nm T2 Torque with which the block acts on the bodies connected to the port "C2" Вещественное

Examples

Examples of block application: