chrono::fea::ChBeamSectionEulerSimple Class Reference
Description
Basic section of an Euler-Bernoulli beam in 3D, for a homogeneous density and homogeneous elasticity, given basic material properties (Izz and Iyy moments of inertia, area, Young modulus, etc.).
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>
Inheritance diagram for chrono::fea::ChBeamSectionEulerSimple:
Collaboration diagram for chrono::fea::ChBeamSectionEulerSimple:
Public Member Functions | |
| 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 | ComputeInertiaMatrix (ChMatrixNM< double, 6, 6 > &M) override |
| Compute the 6x6 sectional inertia matrix, as in {x_momentum,w_momentum}=[Mm]{xvel,wvel}. | |
| 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) |
| OBSOLETE only for backward compability More... | |
Public Attributes | |
| double | Area |
| double | Iyy |
| double | Izz |
| double | J |
| double | G |
| double | E |
| double | density |
| double | Ks_y |
| double | Ks_z |
Additional Inherited Members | |
| Protected Attributes inherited from chrono::fea::ChBeamSectionEuler | |
| double | JzzJyy_factor |
Member Function Documentation
◆ GetInertiaJxxPerUnitLength()
|
inlineoverridevirtual |
Get the Jxx component of the inertia per unit length (polar inertia) in the Y Z unrotated reference frame of the section at centerline.
Note: it automatically follows Jxx=Jyy+Jzz for the polar theorem. Also, Jxx=density*Ixx if constant density.
Implements chrono::fea::ChBeamSectionEuler.
◆ SetKsy()
|
inline |
Set the Timoshenko shear coefficient Ks for y shear, usually about 0.8, (for elements that use this, ex.
the Timoshenko beams, or Reddy's beams)
◆ SetKsz()
|
inline |
Set the Timoshenko shear coefficient Ks for z shear, usually about 0.8, (for elements that use this, ex.
the Timoshenko beams, or Reddy's beams)
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
