General TYPE8 Spring (/PROP/SPR_GENE)

Spring TYPE8 is a six degrees of freedom spring: three translations and three rotations.

Each degree of freedom is independent from the other, and is associated with a specific stiffness (see Stiffness Formulation for more details). To compute the critical time step, the minimum over all degrees of freedom is kept using the following formula:(1)
dt=min( M K , l K θ ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamizaiaads hacqGH9aqpciGGTbGaaiyAaiaac6gadaqadaqaamaakaaabaWaaSaa aeaacaWGnbaabaGaam4saaaaaSqabaGccaGGSaWaaOaaaeaadaWcaa qaaiaadYgaaeaacaWGlbWaaSbaaSqaaiabeI7aXbqabaaaaaqabaaa kiaawIcacaGLPaaaaaa@438E@
Moment of inertia
K θ
The related stiffness

The local coordinate system is not associated with the nodes positions, if no local skew is specified (moving or fixed), the global coordinate system is used.

To understand the physical behavior of this mathematical spring, imagine that the two nodes of the spring are chained together. Therefore, only the relative translation/rotation between nodes can be considered as independent degrees of freedom. Figure 1 is a schematic illustration.

Figure 1. Spring TYPE8
Note: If the local coordinate system is defined through the use of a moving skew, it is possible to emulate the local X-behavior of a spring TYPE4, providing the first two nodes defining the moving skew are node 1 and 2 of the spring (Figure 2).

Figure 2. Deformation in Local X-Direction
It can also be noted that the global force equilibrium is fully respected but not the global moment equilibrium. Therefore, the spring is connected to the laboratory which applies the missing moments. It is generally recommended to use spring TYPE8, only if one node is fixed in all directions or if two nodes are coincident (if the two nodes are coincident, the translational stiffness' has to be large enough to ensure that the nodes remain near coincident during the simulation). Doing so, the global moment equilibrium is respected.
Note: An increase in energy may be observed if a non-zero length spring TYPE8 undergoes rigid body motion. The spring TYPE8 when their lengths are not zero.
Spring TYPE8 is generally used to model connection between two parts. For example, pivot points in the steering system are modeled with spring TYPE8. To properly model this type of connection, translational degrees of freedom must be blocked through the use of rather high stiffness' and all rotational degrees of freedom must be set free. Below is an example of such a connection, note that the stiffness values are arbitrary and that they should be adjusted according to a relevant unit system.
Note: It is possible to limit the movement by using a nonlinear stiffness in rotation with a sudden increase (see Stiffness Formulation for mode details).

Figure 3. Modeling of Hinge (Use of Spring TYPE8)

For further information, refer to General Spring Elements (TYPE8) in the Radioss Theory Manual.