Struct ae108::elements::ElementWithMass

template <ElementConcept Element_>

ClassList > ae108 > elements > ElementWithMass

Extends a given element to also store a mass matrix.

• #include <ElementWithMass.h>

Public Types

Type	Name
typedef Element_	Element
typedef typename Element::Energy	Energy
typedef typename Element::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 StiffnessMatrix	MassMatrix
typedef typename Element::NodalDisplacements	NodalDisplacements The displacements per node.
typedef typename Element::Real	Real
typedef typename Element::Size	Size
typedef typename Element::StiffnessMatrix	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 typename Element::Time	Time
typedef typename Element::Value	Value

Public Attributes

Type	Name
Element	element
MassMatrix	mass_matrix

Public Static Attributes

Type	Name
const Size	DegreesOfFreedom = Element::DegreesOfFreedom Number of degrees of freedom.
const Size	Dimension = Element::Dimension The dimension of physical space.
const Size	NumVerts = Element::NumVerts Number of element nodes / shape functions.

Public Functions

Type	Name
Energy	computeEnergy (const NodalDisplacements & u, const Time & time) noexcept const Computes the energy for the given displacements.
Forces	computeForces (const NodalDisplacements & u, const Time & time) noexcept const Computes the forces for the given displacements.
MassMatrix	computeMassMatrix () noexcept const
StiffnessMatrix	computeStiffnessMatrix (const NodalDisplacements & u, const Time & time) noexcept const Computes the stiffness matrix for the given displacements.

Public Types Documentation

typedef Element

using ae108::elements::ElementWithMass< Element_ >::Element =  Element_;

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typedef Energy

using ae108::elements::ElementWithMass< Element_ >::Energy =  typename Element::Energy;

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typedef 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.

using ae108::elements::ElementWithMass< Element_ >::Forces =  typename Element::NodalDisplacements;

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typedef MassMatrix

using ae108::elements::ElementWithMass< Element_ >::MassMatrix =  StiffnessMatrix;

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typedef NodalDisplacements

The displacements per node.

using ae108::elements::ElementWithMass< Element_ >::NodalDisplacements =  typename Element::NodalDisplacements;

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typedef Real

using ae108::elements::ElementWithMass< Element_ >::Real =  typename Element::Real;

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typedef Size

using ae108::elements::ElementWithMass< Element_ >::Size =  typename Element::Size;

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typedef 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.

using ae108::elements::ElementWithMass< Element_ >::StiffnessMatrix =  typename Element::StiffnessMatrix;

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typedef Time

using ae108::elements::ElementWithMass< Element_ >::Time =  typename Element::Time;

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typedef Value

using ae108::elements::ElementWithMass< Element_ >::Value =  typename Element::Value;

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Public Attributes Documentation

variable element

Element ae108::elements::ElementWithMass< Element_ >::element;

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variable mass_matrix

MassMatrix ae108::elements::ElementWithMass< Element_ >::mass_matrix;

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Public Static Attributes Documentation

variable DegreesOfFreedom

Number of degrees of freedom.

const Size ae108::elements::ElementWithMass< Element_ >::DegreesOfFreedom;

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variable Dimension

The dimension of physical space.

const Size ae108::elements::ElementWithMass< Element_ >::Dimension;

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variable NumVerts

Number of element nodes / shape functions.

const Size ae108::elements::ElementWithMass< Element_ >::NumVerts;

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Public Functions Documentation

function computeEnergy

Computes the energy for the given displacements.

inline Energy ae108::elements::ElementWithMass::computeEnergy (
    const NodalDisplacements & u,
    const Time & time
) noexcept const

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function computeForces

Computes the forces for the given displacements.

inline Forces ae108::elements::ElementWithMass::computeForces (
    const NodalDisplacements & u,
    const Time & time
) noexcept const

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function computeMassMatrix

inline MassMatrix ae108::elements::ElementWithMass::computeMassMatrix () noexcept const

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function computeStiffnessMatrix

Computes the stiffness matrix for the given displacements.

inline StiffnessMatrix ae108::elements::ElementWithMass::computeStiffnessMatrix (
    const NodalDisplacements & u,
    const Time & time
) noexcept const

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The documentation for this class was generated from the following file elements/src/include/ae108/elements/ElementWithMass.h