chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM Class Reference

Description

For composite beams such as wind turbine blades and helicopter rotor blades, the cross-sectional stiffness properties in axial, shear, bending and torsion directions are coupled with each other, hence the fully-populated matrix(FPM) of cross-sectional stiffness properties is used to describe this complex coupling.

Base class for all constitutive models of fully-populated matrix(FPM) sections of Timoshenko beams. To be used with ChElementBeamTaperedTimoshenkoFPM.

#include <ChBeamSectionTaperedTimoshenkoFPM.h>

Inheritance diagram for chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM:
Collaboration diagram for chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM:

Public Member Functions

 ChBeamSectionTimoshenkoAdvancedGenericFPM (const ChMatrixNM< double, 6, 6 > &mKlaw, const ChMatrixNM< double, 6, 6 > &mMlaw, const double malpha, const double mCy, const double mCz, const double mSy, const double mSz, const double mmu, const double mJyy, const double mJzz, const double mJyz=0, const double mQy=0, const double mQz=0, const double mMy=0, const double mMz=0)
 
virtual void SetStiffnessMatrixFPM (const ChMatrixNM< double, 6, 6 > &mKlaw)
 Set the material stiffness matrix of cross-section in fully-polulated format(FPM), and assign the traditional axial, torsional, shear and bending stiffnesses automatically.
 
virtual ChMatrixNM< double, 6, 6 > & GetStiffnessMatrixFPM ()
 Get the material stiffness matrix of cross-section in fully-polulated format(FPM)
 
virtual void SetMassMatrixFPM (const ChMatrixNM< double, 6, 6 > &mMlaw)
 Set the material mass matrix of cross-section in fully-polulated format(FPM) directly. More...
 
virtual void SetMassMatrixFPM (double mmu, double Jmyy, double Jmzz, double Jmyz, double mass_phi, double Qmy, double Qmz, double mMy, double mMz)
 Set the material mass matrix of cross-section in fully-polulated format(FPM). More...
 
virtual void SetMassMatrixFPM (double mmu, double mJyy, double mJzz, double mJyz, double mQy, double mQz)
 Set the material mass matrix of cross-section in fully-polulated format(FPM). More...
 
virtual ChMatrixNM< double, 6, 6 > & GetMassMatrixFPM ()
 Get the material mass matrix of cross-section in fully-polulated format(FPM).
 
- Public Member Functions inherited from chrono::fea::ChBeamSectionTimoshenkoAdvancedGeneric
 ChBeamSectionTimoshenkoAdvancedGeneric (const double mAx, const double mTxx, const double mByy, const double mBzz, const double mGAyy, const double mGAzz, const DampingCoefficients mdamping_coeff, const double malpha, const double mCy, const double mCz, const double mSy, const double mSz, const double mmu, const double mJyy, const double mJzz, const double mJyz=0, const double mQy=0, const double mQz=0, const double mMy=0, const double mMz=0)
 
virtual void SetYshearRigidity (const double mv)
 Sets the shear rigidity, for shearing along Y axis, at shear center, usually Ayy*G for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.
 
virtual void SetZshearRigidity (const double mv)
 Sets the shear rigidity, for shearing along Z axis, at shear center, usually Azz*G for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.
 
virtual double GetYshearRigidity () const
 Gets the shear rigidity, for shearing along Y axis at shear center, usually Ayy*G, but might be ad hoc.
 
virtual double GetZshearRigidity () const
 Gets the shear rigidity, for shearing along Z axis at shear center, usually Azz*G, but might be ad hoc.
 
virtual void SetBeamRaleyghDamping (DampingCoefficients mdamping_coeff)
 Sets the damping parameters of section. More...
 
virtual DampingCoefficients GetBeamRaleyghDamping () const
 Gets the damping parameters of section.
 
virtual void SetInertiasPerUnitLength (const double mJyy, const double mJzz, const double mJyz, const double mQy, const double mQz)
 Set the Jyy Jzz Jyz components of the sectional inertia per unit length, in centerline reference, measured along centerline main axes. More...
 
virtual void SetMainInertiasInMassReference (const double Jmyy, const double Jmzz, const double Jmyz, const double mass_phi, const double Qmy, const double Qmz)
 Set inertia moments, per unit length, as assumed computed in the Ym Zm "mass reference" frame, ie. More...
 
virtual void GetMainInertiasInMassReference (double &Jmyy, double &Jmzz, double &Jmyz, double &mass_phi, double &Qmy, double &Qmz)
 Get inertia moments, per unit length, as assumed computed in the Ym Zm "mass reference" frame, and the rotation phi of that frame, ie. More...
 
virtual double GetInertiaJxxPerUnitLengthInMassReference () const
 Get inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie. More...
 
virtual double GetInertiaJyyPerUnitLength () const
 Get the Jyy component of the sectional inertia per unit length, in centerline reference, measured along centerline main axes.
 
virtual double GetInertiaJzzPerUnitLength () const
 Get the Jzz component of the sectional inertia per unit length, in centerline reference, measured along centerline main axes.
 
virtual double GetInertiaJyzPerUnitLength () const
 Get the Jyz component of the sectional inertia per unit length, in centerline reference, measured along centerline main axes.
 
virtual double GetInertiaQyPerUnitLength () const
 Get the Qy component of mass moment of area per unit length, in centerline reference, measured along centerline main axes.
 
virtual double GetInertiaQzPerUnitLength () const
 Get the Qz component of mass moment of area per unit length, in centerline reference, measured along centerline main axes.
 
virtual void SetArtificialFactorForShearDamping (double mv)
 Set the artificial correction factor for the structural damping model in the shear deformation, as default it's 1.0 and don't have any correction effect. More...
 
virtual double GetArtificialFactorForShearDamping () const
 Get the artificial correction factor for the structural damping model in the shear deformation.
 
- Public Member Functions inherited from chrono::fea::ChBeamSectionRayleighAdvancedGeneric
 ChBeamSectionRayleighAdvancedGeneric (const double mAx, const double mTxx, const double mByy, const double mBzz, const double malpha, const double mCy, const double mCz, const double mSy, const double mSz, const double mmu, const double mJyy, const double mJzz, const double mJyz, const double mMy=0, const double mMz=0)
 
virtual void SetInertiasPerUnitLength (const double mJyy, const double mJzz, const double mJyz)
 Set the Jyy Jzz Jyz components of the sectional inertia per unit length, in centerline reference, measured along centerline main axes. More...
 
virtual void SetMainInertiasInMassReference (double Jmyy, double Jmzz, double phi)
 Set inertia moments, per unit length, as assumed computed in the Ym Zm "mass reference" frame, ie. More...
 
virtual void GetMainInertiasInMassReference (double &Jmyy, double &Jmzz, double &phi)
 Get inertia moments, per unit length, as assumed computed in the Ym Zm "mass reference" frame, and the rotation phi of that frame, ie. More...
 
virtual void ComputeInertiaMatrix (ChMatrixNM< double, 6, 6 > &M) override
 Compute the 6x6 sectional inertia matrix, as in {x_momentum,w_momentum}=[Mm]{xvel,wvel}.
 
virtual void ComputeInertiaDampingMatrix (ChMatrixNM< double, 6, 6 > &Ri, const ChVector<> &mW) override
 Compute the 6x6 sectional inertia damping matrix [Ri] (gyroscopic matrix damping) More...
 
virtual void ComputeInertiaStiffnessMatrix (ChMatrixNM< double, 6, 6 > &Ki, const ChVector<> &mWvel, const ChVector<> &mWacc, const ChVector<> &mXacc) override
 Compute the 6x6 sectional inertia stiffness matrix [Ki^]. More...
 
virtual void ComputeQuadraticTerms (ChVector<> &mF, ChVector<> &mT, const ChVector<> &mW) override
 Compute the centrifugal term and gyroscopic term. More...
 
- Public Member Functions inherited from chrono::fea::ChBeamSectionEulerAdvancedGeneric
 ChBeamSectionEulerAdvancedGeneric (const double mAx, const double mTxx, const double mByy, const double mBzz, const double malpha, const double mCy, const double mCz, const double mSy, const double mSz, const double mmu, const double mJxx, const double mMy=0, const double mMz=0)
 
virtual void SetAxialRigidity (const double mv)
 Sets the axial rigidity, usually A*E for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.
 
virtual void SetXtorsionRigidity (const double mv)
 Sets the torsion rigidity, for torsion about X axis, at elastic center, usually J*G for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.
 
virtual void SetYbendingRigidity (const double mv)
 Sets the bending rigidity, for bending about Y axis, at elastic center, usually Iyy*E for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.
 
virtual void SetZbendingRigidity (const double mv)
 Sets the bending rigidity, for bending about Z axis, at elastic center, usually Izz*E for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.
 
virtual void SetSectionRotation (const double mv)
 Set the rotation in [rad], abour elastic center, of the Y Z axes for which the YbendingRigidity and ZbendingRigidity values are defined.
 
virtual void SetCentroidY (const double mv)
 Sets the Y position of the elastic center respect to centerline.
 
virtual void SetCentroidZ (const double mv)
 Sets the Z position of the elastic center respect to centerline.
 
virtual void SetShearCenterY (const double mv)
 Sets the Y position of the shear center respect to centerline.
 
virtual void SetShearCenterZ (const double mv)
 Sets the Z position of the shear center respect to centerline.
 
virtual void SetMassPerUnitLength (const double mv)
 Set mass per unit length, ex.SI units [kg/m] For uniform density it would be A*density, but for nonuniform density here you can put a value ad-hoc from a preprocessor.
 
virtual void SetInertiaJxxPerUnitLength (const double mv)
 Set the Jxx component of the inertia per unit length (polar inertia), computed at centerline. More...
 
virtual void SetInertiaJxxPerUnitLengthInMassReference (const double mv)
 Set inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie. More...
 
virtual double GetInertiaJxxPerUnitLengthInMassReference ()
 Get inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie. More...
 
void SetCenterOfMass (double my, double mz)
 "mass reference": set the displacement of the center of mass respect to the section centerline reference.
 
double GetCenterOfMassY ()
 
double GetCenterOfMassZ ()
 
virtual double GetAxialRigidity () const override
 Gets the axial rigidity, usually A*E, but might be ad hoc.
 
virtual double GetXtorsionRigidity () const override
 Gets the torsion rigidity, for torsion about X axis at elastic center, usually J*G, but might be ad hoc.
 
virtual double GetYbendingRigidity () const override
 Gets the bending rigidity, for bending about Y axis at elastic center, usually Iyy*E, but might be ad hoc.
 
virtual double GetZbendingRigidity () const override
 Gets the bending rigidity, for bending about Z axis at elastic center, usually Izz*E, but might be ad hoc.
 
virtual double GetSectionRotation () const override
 Set the rotation of the Y Z section axes for which the YbendingRigidity and ZbendingRigidity are defined.
 
virtual double GetCentroidY () const override
 Gets the Y position of the elastic center respect to centerline.
 
virtual double GetCentroidZ () const override
 Gets the Z position of the elastic center respect to centerline.
 
virtual double GetShearCenterY () const override
 Gets the Y position of the shear center respect to centerline.
 
virtual double GetShearCenterZ () const override
 Gets the Z position of the shear center respect to centerline.
 
virtual double GetMassPerUnitLength () const override
 Get mass per unit length, ex.SI units [kg/m].
 
virtual double GetInertiaJxxPerUnitLength () const override
 Get the Jxx component of the inertia per unit length (polar inertia), at centerline.
 
- Public Member Functions inherited from chrono::fea::ChBeamSectionEuler
virtual void ComputeInertialForce (ChVector<> &mFi, ChVector<> &mTi, const ChVector<> &mWvel, const ChVector<> &mWacc, const ChVector<> &mXacc)
 Compute the total inertial forces (per unit length). More...
 
void SetArtificialJyyJzzFactor (double mf)
 The Euler beam model has no rotational inertia per each section, assuming mass is concentrated on the centerline. More...
 
double GetArtificialJyyJzzFactor ()
 
virtual void SetBeamRaleyghDampingAlpha (double malpha)
 Set the "alpha" Rayleigh damping ratio,
the mass-proportional structural damping in: R = alpha*M + beta*K

 
double GetBeamRaleyghDampingAlpha ()
 
virtual void SetBeamRaleyghDampingBeta (double mbeta)
 Set the "beta" Rayleigh damping ratio, the stiffness-proportional structural damping in: R = alpha*M + beta*K

 
double GetBeamRaleyghDampingBeta ()
 
virtual void SetBeamRaleyghDamping (double mbeta, double malpha=0)
 Set both beta and alpha coefficients in Rayleigh damping model: R = alpha*M + beta*K. More...
 
- Public Member Functions inherited from chrono::fea::ChBeamSection
void SetDrawShape (std::shared_ptr< ChBeamSectionShape > mshape)
 Set the graphical representation for this section. More...
 
std::shared_ptr< ChBeamSectionShapeGetDrawShape () const
 Get the drawing shape of this section (i.e.a 2D profile used for drawing 3D tesselation and visualization) By default a thin square section, use SetDrawShape() to change it.
 
void SetDrawThickness (double thickness_y, double thickness_z)
 Shortcut: adds a ChBeamSectionShapeRectangular for visualization as a centered rectangular beam, and sets its width/height. More...
 
void SetDrawCircularRadius (double draw_rad)
 Shortcut: adds a ChBeamSectionShapeCircular for visualization as a centered circular beam, and sets its radius. More...
 
void SetCircular (bool ic)
 OBSOLETE only for backward compability
 

Protected Attributes

ChMatrixNM< double, 6, 6 > Klaw
 material fully-populated stiffness matrix of cross-section, given in centerline reference, measured along centerline main axes. More...
 
ChMatrixNM< double, 6, 6 > Mlaw
 material fully-populated mass matrix of cross-section, given in centerline reference, measured along centerline main axes
 
- Protected Attributes inherited from chrono::fea::ChBeamSectionTimoshenkoAdvancedGeneric
double GAyy
 shear regidity along yy, evaluated in the elastic center and elastic principal axis. GAyy=ky*G*A
 
double GAzz
 shear regidity along zz, evaluated in the elastic center and elastic principal axis. GAzz=kz*G*A
 
double Qy
 Mass moment of area, defined as : \( Q_{y} = \int_\Omega \rho z d\Omega \), \( Q_{z} = \int_\Omega \rho y d\Omega \),. More...
 
double Qz
 mass moment of area along zz, in centerline reference, measured along centerline main axes
 
DampingCoefficients rdamping_coeff
 Damping parameters. More...
 
double artificial_factor_for_shear_damping = 1.0
 An artificial correction factor for the structural damping model in the shear deformation, as default it's 1.0 and don't have any correction effect. More...
 
- Protected Attributes inherited from chrono::fea::ChBeamSectionRayleighAdvancedGeneric
double Jzz
 
double Jyy
 
double Jyz
 
- Protected Attributes inherited from chrono::fea::ChBeamSectionEulerAdvancedGeneric
double Ax
 
double Txx
 
double Byy
 
double Bzz
 
double alpha
 
double Cy
 
double Cz
 
double Sy
 
double Sz
 
double mu
 
double Jxx
 
double My
 
double Mz
 
- Protected Attributes inherited from chrono::fea::ChBeamSectionEuler
double rdamping_beta
 
double rdamping_alpha
 
double JzzJyy_factor
 

Additional Inherited Members

- Public Attributes inherited from chrono::fea::ChBeamSectionEuler
bool compute_inertia_damping_matrix = true
 Flag that turns on/off the computation of the [Ri] 'gyroscopic' inertial damping matrix. More...
 
bool compute_inertia_stiffness_matrix = true
 Flag that turns on/off the computation of the [Ki] inertial stiffness matrix. More...
 
bool compute_Ri_Ki_by_num_diff = false
 Flag for computing the Ri and Ki matrices via numerical differentiation even if an analytical expression is provided. More...
 

Constructor & Destructor Documentation

◆ ChBeamSectionTimoshenkoAdvancedGenericFPM()

chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM::ChBeamSectionTimoshenkoAdvancedGenericFPM ( const ChMatrixNM< double, 6, 6 > &  mKlaw,
const ChMatrixNM< double, 6, 6 > &  mMlaw,
const double  malpha,
const double  mCy,
const double  mCz,
const double  mSy,
const double  mSz,
const double  mmu,
const double  mJyy,
const double  mJzz,
const double  mJyz = 0,
const double  mQy = 0,
const double  mQz = 0,
const double  mMy = 0,
const double  mMz = 0 
)
inline
Parameters
mKlawmaterial stiffness matrix of cross-section
mMlawmaterial mass matrix of cross-section
malphasection rotation about elastic center [rad]
mCyelastic center y displacement respect to centerline
mCzelastic center z displacement respect to centerline
mSyshear center y displacement respect to centerline
mSzshear center z displacement respect to centerline
mmumass per unit length
mJyyinertia Jyy per unit lenght, in centerline reference, measured along centerline main axes
mJzzinertia Jzz per unit lenght, in centerline reference, measured along centerline main axes
mJyzinertia Jyz per unit lenght, in centerline reference, measured along centerline main axes const
mQyinertia Qy per unit lenght, in centerline reference, measured along centerline main axes
mQzinertia Qz per unit lenght, in centerline reference, measured along centerline main axes
mMymass center y displacement respect to centerline
mMzmass center z displacement respect to centerline

Member Function Documentation

◆ SetMassMatrixFPM() [1/3]

virtual void chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM::SetMassMatrixFPM ( const ChMatrixNM< double, 6, 6 > &  mMlaw)
inlinevirtual

Set the material mass matrix of cross-section in fully-polulated format(FPM) directly.

This cross-sectional mass matrix should be given in the centerline reference.

◆ SetMassMatrixFPM() [2/3]

virtual void chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM::SetMassMatrixFPM ( double  mmu,
double  Jmyy,
double  Jmzz,
double  Jmyz,
double  mass_phi,
double  Qmy,
double  Qmz,
double  mMy,
double  mMz 
)
inlinevirtual

Set the material mass matrix of cross-section in fully-polulated format(FPM).

Assign the mass properties at mass center, then calcualte Mlaw automatically.

◆ SetMassMatrixFPM() [3/3]

virtual void chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM::SetMassMatrixFPM ( double  mmu,
double  mJyy,
double  mJzz,
double  mJyz,
double  mQy,
double  mQz 
)
inlinevirtual

Set the material mass matrix of cross-section in fully-polulated format(FPM).

Assign the mass properties at centerline reference, then calcualte Mlaw automatically

Member Data Documentation

◆ Klaw

ChMatrixNM<double, 6, 6> chrono::fea::ChBeamSectionTimoshenkoAdvancedGenericFPM::Klaw
protected

material fully-populated stiffness matrix of cross-section, given in centerline reference, measured along centerline main axes.

The shear principal axis orientation is assumed same as elastic principal axis. So if you want to consider the different orientation of shear principal axis, please rotate the block of shear terms from shear principal axis orientation to elastic principal axis orientation firstly (do this rotation transformation outside by yourself) and then input it here.


The documentation for this class was generated from the following file:
  • /builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionTaperedTimoshenkoFPM.h