Iconic Diagrams\Mechanical\Translation\Components
Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Translation).
This model represents an ideal mass (no gravity). The element has a preferred velocity out causality. The corresponding constitutive equations then contain an integration. The element can also have the non-preferred force out causality. The constitutive equations then contain a derivation. 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 = ....
velocity out causality (preferred):
a = p.F/m;
p.v = int(a);
x = int(p.omega);
force out causality:
a = ddt(p.v);
p.F = m*a;
x = int(p.v);
This model represents an ideal mass with gravity. It is equal to the default model with a gravitational acceleration g added:
a = p.F/m - g;
p.v = int(a);
x = int(p.omega);
The gravitational acceleration g acts in the negative direction. E.g. a free fall will give the model a negative acceleration, negative velocity and negative position.
Ports |
Description |
p[any] |
Any number of connections can be made (Translation). |
Causality |
|
preferred velocity out |
An torque out causality results in a derivative constitutive equation. |
Variables |
|
x a p |
position [m] acceleration [m/s^2] impulse [Ns] |
Parameters |
|
m g |
mass [kg] acceleration of gravity [m/s^2] |
Initial Values |
|
p.v_initial x_initial |
The initial velocity of the mass. The initial position of the mass. |