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!DAMPING¶

Defines Rayleigh damping coefficients acting on each element. Specify this card following the !MATERIAL card.

For elements belonging to material \(i\), the damping matrix \(C_i\) is evaluated using the mass matrix \(M_i\) and tangent stiffness matrix \(K_i\) of that material as

\[ C_i = R_m M_i + R_k K_i \]

and is assembled into the global damping matrix. The global Rayleigh damping coefficients (ray_m, ray_k) specified on the !DYNAMIC card are ignored for a material when values are specified for that material with !DAMPING; the !DAMPING values take precedence.

This card is effective only for implicit dynamic analysis (!SOLUTION, TYPE=DYNAMIC + Newmark-β). It is not referenced in static analysis, modal analysis, frequency response analysis, or explicit dynamic analysis.

Parameters¶

TYPE = RAYLEIGH : Rayleigh damping (default; currently only this model is supported)

Parameter Name	Attribute	Description
TYPE	P	Type of damping model. Optional. Currently only `RAYLEIGH` is supported (default)

** 2nd line **

(2nd line) Rm, Rk

Variable Name	Attribute	Description
Rm	R	Proportional coefficient \(R_m\) multiplying the mass matrix (default: 0.0)
Rk	R	Proportional coefficient \(R_k\) multiplying the stiffness matrix (default: 0.0)

Example¶

!MATERIAL, NAME=M1
!ELASTIC
 210000.0, 0.3
!DENSITY
 7.85e-9
!DAMPING, TYPE=RAYLEIGH
 0.5, 1.0e-3

!DYNAMIC: specification of global Rayleigh damping coefficients
!MATERIAL: general form of the material card

!DAMPING¶

Parameters¶

Example¶

Related Topics¶