## Description

This works exactly as ChBeamSectionEulerSimple, but adds the effect of Jyy Jzz rotational sectional inertias, whereas the conventional Euler theory would assume the mass to be concentrated in the center of mass, hence Jyy Jzz =0.

For wide sections, Jyy Jzz can become not negligible. In this simple symmetric case with homogeneous density, the values of Jyy Jzz are computed automatically as \( J_{yy} = \rho I_{yy} \), \( J_{zz} = \rho I_{zz} \) This is a simple section model that assumes the elastic center, the shear center and the mass center to be all in the centerline of the beam (section origin); this is the case of symmetric sections for example.

To be used with ChElementBeamEuler. This material can be shared between multiple beams.

`#include <ChBeamSectionEuler.h>`

## Public Member Functions | |

virtual void | ComputeInertiaMatrix (ChMatrixNM< double, 6, 6 > &M) override |

Compute the 6x6 sectional inertia matrix, as in {x_momentum,w_momentum}=[Mm]{xvel,wvel}. | |

Public Member Functions inherited from chrono::fea::ChBeamSectionEulerSimple | |

void | SetArea (const double ma) |

Set the cross sectional area A of the beam (m^2) | |

double | GetArea () const |

void | SetIyy (double ma) |

Set the Iyy moment of inertia of the beam (for flexion about y axis) Note: some textbook calls this Iyy as Iz. | |

double | GetIyy () const |

void | SetIzz (double ma) |

Set the Izz moment of inertia of the beam (for flexion about z axis) Note: some textbook calls this Izz as Iy. | |

double | GetIzz () const |

void | SetJ (double ma) |

Set the J torsion constant of the beam (for torsion about x axis) | |

double | GetJ () const |

void | SetKsy (double ma) |

Set the Timoshenko shear coefficient Ks for y shear, usually about 0.8, (for elements that use this, ex. More... | |

double | GetKsy () const |

void | SetKsz (double ma) |

Set the Timoshenko shear coefficient Ks for z shear, usually about 0.8, (for elements that use this, ex. More... | |

double | GetKsz () const |

void | SetAsRectangularSection (double width_y, double width_z) |

Shortcut: set Area, Ixx, Iyy, Ksy, Ksz and J torsion constant at once, given the y and z widths of the beam assumed with rectangular shape. | |

void | SetAsCircularSection (double diameter) |

Shortcut: set Area, Ixx, Iyy, Ksy, Ksz and J torsion constant at once, given the diameter of the beam assumed with circular shape. | |

void | SetDensity (double md) |

Set the density of the beam (kg/m^3) | |

double | GetDensity () const |

void | SetYoungModulus (double mE) |

Set E, the Young elastic modulus (N/m^2) | |

double | GetYoungModulus () const |

void | SetGshearModulus (double mG) |

Set G, the shear modulus, used for computing the torsion rigidity = J*G. | |

double | GetGshearModulus () const |

void | SetGwithPoissonRatio (double mpoisson) |

Set G, the shear modulus, given current E and the specified Poisson ratio. | |

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 void | ComputeQuadraticTerms (ChVector<> &mF, ChVector<> &mT, const ChVector<> &mW) override |

Compute the centrifugal term and gyroscopic term. | |

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) in the Y Z unrotated reference frame of the section at centerline. More... | |

Public Member Functions inherited from chrono::fea::ChBeamSectionEuler | |

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 () |

void | SetBeamRaleyghDamping (double mr) |

Set the Rayleigh damping ratio r (as in: R = r * K ), to do: also mass-proportional term. | |

double | GetBeamRaleyghDamping () |

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< ChBeamSectionShape > | GetDrawShape () 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) |

only for backward compability More...OBSOLETE | |

## Additional Inherited Members | |

Public Attributes inherited from chrono::fea::ChBeamSectionEulerSimple | |

double | Area |

double | Iyy |

double | Izz |

double | J |

double | G |

double | E |

double | density |

double | Ks_y |

double | Ks_z |

Protected Attributes inherited from chrono::fea::ChBeamSectionEuler | |

double | JzzJyy_factor |

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

- /builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionEuler.h
- /builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionEuler.cpp