PMOUNT

Nonlinear Shock and Vibration Element Property

Description: Specifies the nonlinear properties of a shock and vibration element (CBUSH1D entries).

Format:

Example:

Alternate Format and Example:

Field Definition Type Default
PID Property identification number that matches the identification number on a PBUSH1D entry. Integer > 0 Required
TFKID Identification number of a TABLEDi entry that defines a nonlinear elastic spring element in terms of a force versus displacement relationship.

F(u) = FT(u)

Tension is u > 0 and compression is u < 0.
Integer > 0 Required
TFBID Identification number of a TABLEDi entry that defines a nonlinear viscous element in terms of a force versus velocity relationship.

F(v) = FT(v)

Tension is v > 0 and compression is v < 0.
Integer > 0 Required
TFCID Identification number of a TABFV entry that defines stiffness-damping coupling in terms force versus displacement tables at constant velocity. See Remark 1.

F(u,v) = FT(u,v)

Integer ≥ 0 0
TFCIDi Identification numbers of TABLED4 entries that define stiffness-damping coupling in the form of a power series. See Remark 1. Integer ≥ 0 0
F0 Preload. Real 0.0

Remarks:

  1. There are two displacement/velocity-dependent forms that may be used to define the nonlinear stiffness and damping characteristics of this element. In each the displacement u and velocity v are the relative displacement and relative velocity with respect to grid point GA. In the first form the force versus velocity/displacement relationship is given by:

    where the force due to stiffness Fk(u) is given by TFKID, the force due to damping Fb(v) is given by TFBID, and the force due to stiffness-damping coupling Fc(u,v) is given by TFCID which defines force versus displacement data for a constant velocity.

    Term Field Table Type
    Fk(u) TFKID TABLEDi
    Fb(v) TFBID TABLEDi
    Fc(u,v) TFCID TABFV

    In the second form the force versus velocity/displacement relationship is given by a power series of the form

    which may be further reduced to

    where

    and

    Term Field Table Type
    Fk(u) TFKID TABLED4
    Fb(v) TFBID TABLED4
    Fc(u,v) TFCID TABLED4
  2. Values on the TABLEDi entry are for tension and compression. If table values F(u) are provided only for positive values u > 0, then it is assumed that F(-u) = -F(u).