GENEL

Bulk Data Entry Defines the stiffness, flexibility, mass, viscous damping, or structural damping of a general element connected to an arbitrary number of grids.

Format (Stiffness Matrix)


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	`EID`		`GI1`	`CI1`	`GI2`	`CI2`	`GI3`	`CI3`
	`GI4`	`CI4`	`GI5`	`CI5`	etc.
	`UD`		`GD1`	`CD1`	`GD2`	`CD2`	`GD3`	`CD3`
	`GD4`	`CD4`	`GD5`	`CD5`	etc.
	`K` or `Z`	`KZ11`	`KZ12`	`KZ13`	etc.	`KZ21`	`KZ22`	etc.
	`KZ31`	`KZ32`	etc.
	`S`	`S11`	`S12`	`S13`	etc.	`S21`	`S22`	etc.
	`S31`	`S32`	etc.

Format (Mass Matrix)


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	`EID`		`GI1`	`CI1`	`GI2`	`CI2`	`GI3`	`CI3`
	`GI4`	`CI4`	`GI5`	`CI5`	etc.
	`M`	`M11`	`M21`	`M31`	etc.	`M22`	`M32`	etc
	`M33`	`M43`	etc.

Format (Viscous Damping Matrix)


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	`EID`		`GI1`	`CI1`	`GI2`	`CI2`	`GI3`	`CI3`
	`GI4`	`CI4`	`GI5`	`CI5`	etc.
	`B`	`B11`	`B21`	`B31`	etc.	`B22`	`B32`	etc
	`B33`	`B43`	etc.

Format (Structural Damping Matrix)


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	`EID`		`GI1`	`CI1`	`GI2`	`CI2`	`GI3`	`CI3`
	`GI4`	`CI4`	`GI5`	`CI5`	etc.
	`K4`	`K411`	`K421`	`K431`	etc.	`K422`	`K432`	etc
	`K433`	`K443`	etc.

Example 1


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	537		1001	1	1001	2	1001	3
	1002	1	1002	2	1002	3
	K	5757.	-816.6	-43.1	-5757.	816.6	43.1	35479.3
	-1151.	816.6	-35479.3	1151.	6538.6	43.1	1151.	-6538.6
	5757.	-816.6	-43.1	35479.3	-1151.	6538.6

Example 2


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	4001		1073	1	1073	2	1073	3
	1073	4	1073	5	1073	6
	UD		1074	1	1074	2	1074	3
	1074	4	1074	5	1074	6
	Z	.592-6				.39-6		.592-6
		-.39-6			.1-9
	.319-6			.319-6		.1-9

Example 3


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	435		11	1	23	4	72	0
	17	2
	S	1.7	2.3	3.6	4.4	5.2	6.8	7.1
	8.9
	K	.1	.2	.3	.4	.5	.6	.7
	.8
	UD		12	2	47	0

Example 4


(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
GENEL	435		11	1	23	4	72	0
	17	2
	M	2.1	3.2	1.8	2.2	0.9	1.2	3.1
	0.89

Definitions


Field	Contents	SI Unit Example
`EID`	Unique element identification number. No default (Integer > 0)
`GIi`/`CIi`	Grid (or scalar point) and component identification numbers ordered according to stiffness or flexibility values specified after `KZmn`. For scalar points, `CIi` is zero. No default (`GIi` is integer > 0 and `CIi` is integer > 0)
`UD`	Flag indicating that the subsequent fields and continuation entries contain values for `GDj`/`CDj` until `K`, `Z`, or `S` is specified in field 2 or it is the end of the entry. No default (Character)
`GDj`/`CDj`	Grid (or scalar point) and component identification numbers ordered according to the columns in the `S` matrix. No default (`GDj` is integer > 0 and `CDj` is integer ≥ 0)
`K` or `Z`	Flag indicating that the next fields and continuation entries contain stiffness values until `UD` or `S` is specified in field 2 or it is the end of the entry. No default (Character)
`KZmn`	Stiffness or flexibility matrix for degrees-of-freedom in `GIi`/`CIi` where `m` is the row number and `n` is the column number. Only the lower triangular terms in the matrix need to be specified. Zero values must be specified as blank or 0.0. Default = 0.0 (Real)
`S`	Flag indicating that the subsequent fields and continuation entries contain values for the `S` matrix. No default (Character)
`Sij`	`S` matrix values where `I` corresponds to `GIi`/`CIi` list and `j` corresponds to `GDj`/`CDj` list until `K`, `Z`, or `UD` is specified in field 2 or it is the end of the entry. All the terms in the matrix must be specified and zero values must be specified as blank or 0.0. Default = 0.0 (Real)
Mass Matrix: 8 9 10
`GIi`/`CIi`	Grid (or scalar point) and component identification numbers ordered according to mass values specified in `Mmn`. No default (`GIi` is Integer > 0 and `CIi` is Integer ≥ 0)
`M`	Flag indicating that the next fields and continuation entries contain mass values until it is the end of the entry. No default (Character)
`Mmn`	Mass matrix for degrees-of-freedom in `GIi`/`CIi` where “`m`” is the row number and “`n`” is the column number. Only the lower triangular terms in the matrix need to be specified. Zero values must be specified as blank or 0.0. Default = 0.0 (Real)
Viscous Damping Matrix: 8 9 10
`GIi`/`CIi`	Grid (or scalar point) and component identification numbers ordered according to viscous damping values specified in `Bmn`. No default (`GIi` is Integer > 0 and `CIi` is Integer ≥ 0)
`B`	Flag indicating that the next fields and continuation entries contain viscous damping values until it is the end of the entry. No default (Character)
`Bmn`	Viscous damping matrix for degrees-of-freedom in `GIi`/`CIi` where “`m`” is the row number and “`n`” is the column number. Only the lower triangular terms in the matrix need to be specified. Zero values must be specified as blank or 0.0. Default = 0.0 (Real)
Structural Damping Matrix: 8 9 10
`GIi`/`CIi`	Grid (or scalar point) and component identification numbers ordered according to structural damping values specified in `K4mn`. No default (`GIi` is Integer > 0 and `CIi` is Integer ≥ 0)
`K4`	Flag indicating that the next fields and continuation entries contain structural damping values until it is the end of the entry. No default (Character)
`K4mn`	Structural damping matrix for degrees-of-freedom in `GIi`/`CIi` where “`m`” is the row number and “`n`” is the column number. Only the lower triangular terms in the matrix need to be specified. Zero values must be specified as blank or 0.0. Default = 0.0 (Real)

Comments

GIi/CIi and KZmn are required inputs. Either K or Z must be specified, but not both.
UD, K, Z, and S, may be specified in any order as demonstrated in the third example.
UD and S are optional inputs. S defines the motion between the GIi/CIi and GDj/CDj degrees-of-freedom according to:
${u_{i}} = [S] {u_{d}}$
But if S is specified, then GDj/CDj must also be specified. If S is not specified, then GDj/CDj may contain six and only six degrees-of- freedom and they cannot refer to SPOINTs.
If only K or Z is input without UD, then it is recommended that the resulting stiffness represents the unsupported element, containing all of the rigid body modes. If not, the UD option allows for the reintroduction of the rigid body modes with S which is provided by you or computed internally.
- If $K$ and UD are specified, the program will form the complete stiffness as defined by:
  ${\begin{matrix} F_{i} \\ F_{d} \end{matrix}} = [\begin{matrix} K & - K S \\ - S^{T} K & - S^{T} K S \end{matrix}] {\begin{matrix} u_{i} \\ u_{d} \end{matrix}}$
  Where, the $K$ matrix is formed from the KZmn values and the S matrix is formed from the Sij values or computed automatically.
- If Z and UD are specified, then the program will form the complete stiffness as defined by:
  ${\begin{matrix} F_{i} \\ F_{d} \end{matrix}} = [\begin{matrix} Z^{- 1} & - Z^{- 1} S \\ - S^{T} Z^{- 1} & - S^{T} Z^{- 1} S \end{matrix}] {\begin{matrix} u_{i} \\ u_{d} \end{matrix}}$
  Where, the Z matrix is formed from the KZmn values and the S matrix is formed from the Sij values or computed automatically. Z must be nonsingular.
PARAM, CK3 may be used to scale the stiffness produced by all GENEL elements.
All lower triangular values in K and Z and all values in S have to be accounted for in the input. Zero values may be specified as 0.0 or be left blank, however if all entries in any continuation line are zero, then at least one visible character must appear on this line (it can be 0.0 in any field or the plus sign (+) in the first column) because blank lines are treated as comment. Unused fields (after the last matrix entry) must be blank.
General elements are ignored in heat transfer analysis.
GIi/CIi and Mmn (or Bmn/K4mn) are required inputs.
“UD” and “S” should not be defined along with Mass, Viscous Damping, or Structural Damping matrices.
Only lower triangular terms in the matrix should be input.