﻿ 20-sim webhelp > Library > Iconic Diagrams > Mechanical > Translation > 3DSmallRotation > threedmass

threedmass

Library

Iconic Diagrams\Mechanical\Translation\3DSmallAngles

Use

Domains: Continuous. Size: 6D. Kind: Iconic Diagrams (Translation,Rotation).

Description

This is a model of a 6 degree of freedom body without rotational inertia. The 3D-mass has to be connected to at least three orthogonal 3D-points, which define the reaction forces.

The model has a fised velocity out causality. Because any number of connections can be made, successive ports are named P1, P2, P3 etc. 20-sim will automatically create equations such that the resulting force P.F is equal to the sum of the forces of all connected ports P1 .. Pn. The velocities of all connected ports are equal to P.v

P.F = sum(P1.F, P2.F, ....)

P.v = P1.v = P2.v = ....

I = [1/M;1/M;1/M];

P.v[1..3] = I.*int(P.F);

P.v[4..6] = 0;

Interface

 Ports Description P Port with 6 degrees of freedom. Any number of connections can be made. Causality fixed velocity out Parameters M Mass [kg].

Note

 • A 3D-body has to be connected to 3D-points with at least three orthogonal nonzero offsets to prevent it from free rotation.
 • A 3D-body has to be connected to at least three orthogonal 3D-point models to prevent it from free motion.
 • Flipping or rotating the model does not change the direction of applied forces or measured directions. Preferably leave the orientation as it pops up on the screen.
 • It is not possible in 20-sim to use vector elements with mixed units. Therefore element number 4 to 6 will be displayed with units [m/s] and [N] although it really is [rad/s] and [Nm]!