Struct ae108::elements::TimoshenkoBeamElement
template <std::size_t Dimension_, class ValueType_, class RealType_>
ClassList > ae108 > elements > TimoshenkoBeamElement
Implementation of the closed-form Timoshenko beam element as presented in Cook et. al (2002), "Concepts and applications of Finite Element Analysis", 4th ed., pp.24-32.
#include <TimoshenkoBeamElement.h>
Inherits the following classes: ae108::elements::ElementBase
Public Types inherited from ae108::elements::ElementBase
See ae108::elements::ElementBase
| Type | Name |
|---|---|
| typedef real_type | Energy |
| typedef NodalDisplacements | Forces The forces equal to $d_{ij} E$. Here, d_ij refers to the derivative with respect to jth degree of freedom of the ith node. |
| typedef tensor::Tensor< value_type, Size_, DegreesOfFreedom_ > | NodalDisplacements The displacements per node. |
| typedef Eigen::Matrix< value_type, Size_ *DegreesOfFreedom_, Size_ *DegreesOfFreedom_, Eigen::RowMajor > | StiffnessMatrix The stiffness matrix equal to $d_{ij} d_{kl} E$. Here, d_ij refers to the derivative with respect to jth degree of freedom of the ith node. |
| typedef real_type | Time |
| typedef RealType_ | real_type |
| typedef SizeType_ | size_type |
| typedef ValueType_ | value_type |
Public Attributes
| Type | Name |
|---|---|
| TimoshenkoBeamElement::StiffnessMatrix | stiffness_matrix |
Public Functions inherited from ae108::elements::ElementBase
See ae108::elements::ElementBase
| Type | Name |
|---|---|
| Energy | computeEnergy (const NodalDisplacements & displacements, const Time & time) const Computes the energy for the given displacements. |
| Forces | computeForces (const NodalDisplacements & displacements, const Time & time) const Computes the forces for the given displacements. |
| StiffnessMatrix | computeStiffnessMatrix (const NodalDisplacements & displacements, const Time & time) const Computes the stiffness matrix for the given displacements. |
Public Static Functions inherited from ae108::elements::ElementBase
See ae108::elements::ElementBase
| Type | Name |
|---|---|
| constexpr size_type | degrees_of_freedom () noexcept Number of degrees of freedom. |
| constexpr size_type | dimension () noexcept The dimension of physical space. |
| constexpr size_type | size () noexcept Number of element nodes / shape functions. |
Public Attributes Documentation
variable stiffness_matrix
TimoshenkoBeamElement::StiffnessMatrix ae108::elements::TimoshenkoBeamElement< Dimension_, ValueType_, RealType_ >::stiffness_matrix;
The documentation for this class was generated from the following file elements/src/include/ae108/elements/TimoshenkoBeamElement.h