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MbDFEM Simulation of the Oblique-Pin Pendulum.

Problem Description.

In the Compound Pendulum example, the orientation of the hinge joint Z-axis (the axis of rotation) is perpendicular to the gravitational vector. Consequently, the hinge joint does not experience torque, and no FEM loads associated with joint torque are generated. To investigate the effect of joint torque, in this example the pin is rotated by 45 degrees around the global X-axis, thereby inducing hinge joint torque and the associated FEM loads. The dimensions of the parts and their physical properties remain the same as in the Compound Pendulum.

The two videos below depict the top-view of the assembly to be analyzed. The Earth's gravity points to global negative Y-axis. The left video shows the pendulum motion and the hinge joint force1 and torque2 vectors expressed in the reference frame of the pendulum (the action force and torque). The video on the right shows the hinge joint force and torque expressed in the reference frame of the pin (the reaction).

In both cases, each part's origin and mass markers are shown.

  1. MbD force vectors are always depicted by bright-red single-headed arrows.
  2. MbD torque vectors are always depicted by bright-blue double-headed arrows.
Next: FEM Loads and d'Alembert Principle.