chrono::fea::ChMatrixCorotation Class Reference

Description

Perform a corotation (warping) of a K matrix by pre- or post- multiplying it with a C matrix that has 3x3 rotation matrices R as diagonal blocks, so that C*K means:

           [R      ]  [       ]
           [   R   ] *[   K   ]
           [      R]  [       ]

This is often used in FEA codes to rotate a K local stiffness matrix and to obtain a global stiffness matrix. This class provides methods to do either C*K or also C*K*C' , without explicitly building C, for improved performance.

#include <ChMatrixCorotation.h>

Static Public Member Functions
static void	ComputeCK (ChMatrixConstRef K, const ChMatrix33<> &R, const int nblocks, ChMatrixRef CK)
	Perform a corotation (warping) of a K matrix by pre-multiplying it with a C matrix; C has 3x3 rotation matrices R as diagonal blocks. More...
static void	ComputeKCt (ChMatrixConstRef K, const ChMatrix33<> &R, const int nblocks, ChMatrixRef KC)
	Perform a corotation (warping) of a K matrix by post-multiplying it with a transposed C matrix; C has 3x3 rotation matrices R as diagonal blocks. More...
static void	ComputeCK (ChMatrixConstRef K, const std::vector< ChMatrix33<> * > &R, const int nblocks, ChMatrixRef CK)
	Perform a corotation (warping) of a K matrix by pre-multiplying it with a C matrix; C has 3x3 rotation matrices R as diagonal blocks (generic version with different rotations) More...
static void	ComputeKCt (ChMatrixConstRef K, const std::vector< ChMatrix33<> * > &R, const int nblocks, ChMatrixRef KC)
	Perform a corotation (warping) of a K matrix by post-multiplying it with a transposed C matrix; C has 3x3 rotation matrices R as diagonal blocks (generic version with different rotations) More...

Member Function Documentation

ComputeCK() [1/2]

void chrono::fea::ChMatrixCorotation::ComputeCK ( ChMatrixConstRef  K, const ChMatrix33<> &  R, const int  nblocks, ChMatrixRef  CK  )

static

Perform a corotation (warping) of a K matrix by pre-multiplying it with a C matrix; C has 3x3 rotation matrices R as diagonal blocks.

Parameters

K	matrix to pre-corotate
R	3x3 rotation matrix
nblocks	number of rotation blocks
CK	result matrix: C*K

ComputeCK() [2/2]

void chrono::fea::ChMatrixCorotation::ComputeCK ( ChMatrixConstRef  K, const std::vector< ChMatrix33<> * > &  R, const int  nblocks, ChMatrixRef  CK  )

static

Perform a corotation (warping) of a K matrix by pre-multiplying it with a C matrix; C has 3x3 rotation matrices R as diagonal blocks (generic version with different rotations)

Parameters

K	matrix to pre-corotate
R	3x3 rotation matrices
nblocks	number of rotation blocks
CK	result matrix: C*K

ComputeKCt() [1/2]

void chrono::fea::ChMatrixCorotation::ComputeKCt ( ChMatrixConstRef  K, const ChMatrix33<> &  R, const int  nblocks, ChMatrixRef  KC  )

static

Perform a corotation (warping) of a K matrix by post-multiplying it with a transposed C matrix; C has 3x3 rotation matrices R as diagonal blocks.

Parameters

K	matrix to post-corotate
R	3x3 rotation matrix (will be used transposed)
nblocks	number of rotation blocks
KC	result matrix: C*K

ComputeKCt() [2/2]

void chrono::fea::ChMatrixCorotation::ComputeKCt ( ChMatrixConstRef  K, const std::vector< ChMatrix33<> * > &  R, const int  nblocks, ChMatrixRef  KC  )

static

Perform a corotation (warping) of a K matrix by post-multiplying it with a transposed C matrix; C has 3x3 rotation matrices R as diagonal blocks (generic version with different rotations)

Parameters

K	matrix to post-corotate
R	3x3 rotation matrices (used transposed)
nblocks	number of rotation blocks
KC	result matrix: C*K

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The documentation for this class was generated from the following files:

• /builds/uwsbel/chrono/src/chrono/fea/ChMatrixCorotation.h
• /builds/uwsbel/chrono/src/chrono/fea/ChMatrixCorotation.cpp