corotutilmodule Module Reference

Module with subroutines for co-rotational superelement formulations. More...

Functions/Subroutines
subroutine, public	addkgrtokm (supEl, ktan, km, fint, ierr)
	Calculates the rotational geometric stiffness for a superelement. More...
subroutine	gmat3nod (gmat, x, y, z, ierr)
	Computes the rotation gradient matrix for a 3-noded element. More...
subroutine	gmat3nodlocal (gmat, x, y)
	Computes the rotation gradient matrix for a 3-noded element. More...
subroutine	mmat3nod (mmat, emat)
	Sets up an eccentricity transformation matrix for a 3-noded element. More...
subroutine	formfnm (triads, fint, fnm)
	Forms the Fn matrix based on the internal force vector. More...
subroutine, public	formshadowposgrad (supEl, dbgCorot, ierr)
	Forms the gradient matrix used in the shadow position calculations. More...

Detailed Description

Module with subroutines for co-rotational superelement formulations.

Function/Subroutine Documentation

addkgrtokm()

subroutine, public corotutilmodule::addkgrtokm	(	type(supeltype), intent(in)	supEl,
		real(dp), dimension(:,:), intent(out)	ktan,
		real(dp), dimension(:,:), intent(in)	km,
		real(dp), dimension(:), intent(in)	fint,
		integer, intent(out)	ierr
	)

Calculates the rotational geometric stiffness for a superelement.

Parameters

[in]	supEl	The superelement to calculation geometric stiffness for
[out]	ktan	Tangential stiffness matrix (material + geometric stiff.)
[in]	km	Material stiffness matrix
[in]	fint	Internal force vector
[out]	ierr	Error flag

Author

Dag Rune Christensen

Date

23 Oct 1997

Author

Bjorn Haugen (significant upgrade)

Date

29 Oct 2003

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formfnm()

subroutine corotutilmodule::formfnm	(	type(triadptrtype), dimension(:), intent(in)	triads,
		real(dp), dimension(:), intent(in)	fint,
		real(dp), dimension(:,:), intent(out)	fnm
	)

Forms the Fn matrix based on the internal force vector.

Parameters

[in]	triads	External nodes in the superelement
[in]	fint	Internal force vector of the superelement
[out]	fnm	Then Fn matrix (see below)

The Fn matrix consists of the spin of the nodal force vectors with both axial and moment contributions, i.e.,

| spin(n) |
| spin(m) |

for each node ordered as columns.

Author

Bjorn Haugen

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formshadowposgrad()

subroutine, public corotutilmodule::formshadowposgrad	(	type(supeltype), intent(inout)	supEl,
		integer, intent(in)	dbgCorot,
		integer, intent(out)	ierr
	)

Forms the gradient matrix used in the shadow position calculations.

Parameters

	supEl	The superelement to calculate the gradient matrix for
[in]	dbgCorot	File unit number of debug pring
[out]	ierr	Error flag

Author

Bjorn Haugen

Date

Nov 2003

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gmat3nod()

subroutine corotutilmodule::gmat3nod	(	real(dp), dimension(3,3,3), intent(out)	gmat,
		real(dp), dimension(3), intent(in)	x,
		real(dp), dimension(3), intent(in)	y,
		real(dp), dimension(3), intent(in)	z,
		integer, intent(out)	ierr
	)

Computes the rotation gradient matrix for a 3-noded element.

Parameters

[out]	gmat	The rotation gradients in local system
[in]	x	X-coordinates for the 3 nodes in global coordinate system
[in]	y	Y-coordinates for the 3 nodes in global coordinate system
[in]	z	Z-coordinates for the 3 nodes in global coordinate system
[out]	ierr	Error flag

Author

Bjorn Haugen

Date

22 Oct 1997

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gmat3nodlocal()

subroutine corotutilmodule::gmat3nodlocal	(	real(dp), dimension(3,9), intent(out)	gmat,
		real(dp), dimension(3), intent(in)	x,
		real(dp), dimension(3), intent(in)	y
	)

Computes the rotation gradient matrix for a 3-noded element.

Parameters

[out]	gmat	The rotation gradients in local system
[in]	x	X-coordinates for the 3 nodes in local coordinate system
[in]	y	Y-coordinates for the 3 nodes in local coordinate system

The element assumed in the xy-plane. The x-axis is not neccesarily along the side 1-2. The computed rotation gradient matrix gmat consists of rot_x,rot_y,rot_z in local system with respect to the local nodal degrees of freedom. The nodal DOF ordering for each node is assumed to be tx,ty,tz.

Author

Dag Rune Christensen

Date

22 Oct 1997

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mmat3nod()

subroutine corotutilmodule::mmat3nod	(	real(dp), dimension(3,18), intent(out)	mmat,
		real(dp), dimension(3,3), intent(in)	emat
	)

Sets up an eccentricity transformation matrix for a 3-noded element.

Parameters

[out]	mmat	The eccentricity transformation matrix (translations only)
[in]	emat	Nodal eccentricities in local coordinates

Author

Dag Rune Christensen

Date

23 Oct 1997

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