Rope Pull Using a Custom Domain Equation

This example shows a force pulling on the end of a rope that has a large load on its other end. The rope is modeled with distributed mass and elasticity using mass, spring, and damper blocks. When the force increases from 0 N to 1,000 N, it excites longitudinal vibrations in the rope.

This example uses a custom mechanical translational domain where the Through variable is force, and the Across variables are velocity, v, and position, x. The domain file contains an equations section that relates the Across variables because the domain has more Across variables than Through variables. The equation in the equations section establishes the differential relationship, der(x) = v. The domain equation propagates to all nodes of the custom domain. This example shows how the position variable facilitates the specification and tracking of relative positions between model elements. The plotting script of this example shows how the logged node positions can be readily plotted in an animation.

Model

Simulation Results from Simscape Logging