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Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Translation).

Description - Default

This model represents an ideal rotational spring with damper. The element has a preferred torque out causality. The corresponding constitutive equations then contain an integration. The element can also have the non-preferred angular velocity out causality. The constitutive equations then contain a derivation. The port p of the spring model has separate high and low terminals. The equations are:

 

p.T = p_high.T = p_low.T

p.omega = p_high.omega - p_low.omega

 

Torque out causality (preferred):

 

phi = int(p.omega);

p.T = c * phi + d*p.omega;

 

Angular velocity out causality:

 

p.omega = ddt(phi);

phi = (p.T - d*p.omega)/c;

Interface - Default

Description - Stiffness

This model represents an ideal rotational spring with damper. The damping value (d) is calculated on the basis of a known stiffness (c), relative damping (b) and reference inertia (J). The inertia is only used to compute the damping (no actual mass is used in this component).

 

The element has a preferred torque out causality. The corresponding constitutive equations then contain an integration. The element can also have the non-preferred angular velocity out causality. The constitutive equations then contain a derivation. The port p of the spring model has separate high and low terminals. The equations are:

 

p.T = p_high.T = p_low.T

p.omega = p_high.omega - p_low.omega

 

Torque out causality (preferred):

 

phi = int(p.omega);

p.F = c * phi + d*p.omega;

d = 2*b*sqrt(c*J);

 

Angular velocity out causality:

 

p.omega = ddt(phi);

phi = (p.T - d*p.omega)/c;

d = 2*b*sqrt(c*J);

Interface - Stiffness

Description - Frequency

This model represents an ideal rotational spring with damper. The stiffness (c) is calculated on basis of a known resonance frequency (f). The damping value (d) is calculated on the basis of the stiffness, relative damping (b) and reference inertia (J). The inertia is only used to compute the damping (no actual mass is used in this component).

 

The element has a preferred torque out causality. The corresponding constitutive equations then contain an integration. The element can also have the non-preferred angular velocity out causality. The constitutive equations then contain a derivation. The port p of the spring model has separate high and low terminals. The equations are:

 

p.T = p_high.T = p_low.T

p.omega = p_high.omega - p_low.omega

 

Torque out causality (preferred):

 

phi = int(p.omega);

p.T = c * phi + d*p.omega;

c = J*(2*pi*f)^2;

d = 2*b*sqrt(c*J);

 

Angular velocity out causality:

 

p.omega = ddt(phi);

phi = (p.T - d*p.omega)/c;

c = J*(2*pi*f)^2;

d = 2*b*sqrt(c*J);

Interface - Frequency