#include <B3DC.h>

Inheritance diagram for B3DC:

Collaboration diagram for B3DC:

Public Member Functions
bool	is_nlgeom () const override

unique_ptr< Orientation >	unique_copy () override

void	commit_status () override

void	reset_status () override

void	clear_status () override

vec	to_local_vec (const vec &) const override
	transform anything from global to local system e.g., disp -> disp, vel -> vel, acc -> acc, not applicable to conversion such as disp -> strain

vec	to_global_vec (const vec &) const override
	transform anything from local to global system e.g., disp -> disp, vel -> vel, acc -> acc, not applicable to conversion such as disp -> strain

mat	to_global_geometry_mat (const mat &) const override

mat	to_global_stiffness_mat (const mat &) const override

Public Member Functions inherited from B3DL
Type	type () const override

unique_ptr< Orientation >	unique_copy () override

vec	to_local_vec (const vec &) const override
	transform anything from global to local system e.g., disp -> disp, vel -> vel, acc -> acc, not applicable to conversion such as disp -> strain

vec	to_global_vec (const vec &) const override
	transform anything from local to global system e.g., disp -> disp, vel -> vel, acc -> acc, not applicable to conversion such as disp -> strain

mat	to_global_mass_mat (const mat &) const override
	transform anything from local to global system e.g., stiffness -> stiffness.

mat	to_global_stiffness_mat (const mat &) const override

	Orientation (unsigned=0, vec &&={})

Public Member Functions inherited from Orientation
	Orientation (unsigned=0, vec &&={})

void	update_axis (const vec &)

virtual void	set_element_ptr (const Element *)

double	get_length () const

double	get_inclination () const

const mat &	get_transformation () const

virtual void	update_status ()

virtual vec	to_local_vec (double) const

virtual vec	to_global_vec (double) const

virtual mat	to_global_mass_mat (double) const

virtual mat	to_global_geometry_mat (double) const

virtual mat	to_global_stiffness_mat (double) const

virtual vec	to_local_vec (vec &&) const

virtual vec	to_global_vec (vec &&) const

virtual mat	to_global_mass_mat (mat &&) const

virtual mat	to_global_geometry_mat (mat &&) const

virtual mat	to_global_stiffness_mat (mat &&) const

Public Member Functions inherited from CopyableTag
	CopyableTag (const CopyableTag &)=default

	CopyableTag (CopyableTag &&)=default

CopyableTag &	operator= (const CopyableTag &)=delete

CopyableTag &	operator= (CopyableTag &&)=delete

	~CopyableTag () override=default

	Tag (unsigned=0)

	Tag (const Tag &)=default

	Tag (Tag &&) noexcept=default

Public Member Functions inherited from Tag
	Tag (unsigned=0)

	Tag (const Tag &)=default

	Tag (Tag &&) noexcept=default

Tag &	operator= (const Tag &)=delete

Tag &	operator= (Tag &&)=delete

virtual	~Tag ()=default

void	set_tag (unsigned) const

unsigned	get_tag () const

void	enable ()

void	disable ()

void	guard ()

void	unguard ()

bool	is_active () const

bool	is_guarded () const

virtual void	print ()

Protected Member Functions
mat	compute_a () const

mat	compute_l (const mat &, const subview_col< double > &) const

mat	compute_m (const mat &, const subview_col< double > &) const

mat	compute_g (const mat &, const subview_col< double > &, const subview_col< double > &) const

subview_col< double >	e (uword) const

subview_col< double >	r (uword) const

subview_col< double >	ni (uword) const

subview_col< double >	nj (uword) const

const mat &	sni (uword) const

const mat &	snj (uword) const

void	update_direct_cosine (const vec &)

void	update_e (const vec &)

void	update_theta ()

void	update_transformation () override

virtual unsigned	nodal_size () const

Protected Member Functions inherited from B3DL
void	update_transformation () override

Protected Member Functions inherited from Orientation
void	check_element_ptr () const

Protected Attributes
const span	sa {0, 2}

const span	sb {3, 5}

const span	sc {6, 8}

const span	sd {9, 11}

double	elongation = 0.

mat	trial_rotation {3, 2, fill::zeros}

mat	current_rotation {3, 2, fill::zeros}

mat	trial_n

mat	current_n

mat	trial_ref

mat	current_ref

field< mat >	sn {6}

field< mat >	se {3}

vec	theta

mat	transformation

const double	initial_length = 0.

Protected Attributes inherited from Orientation
const Element *	element_ptr = nullptr

vec	z_axis

double	length = 0.

double	inclination = 0.

mat	direction_cosine

Additional Inherited Members
Public Types inherited from Orientation
enum class	Type { T2D , T3D , B2D , B3D , B3DOS }

Detailed Description

A B3DC class.

B3DC is a corotational transformation for 3D beam elements.

The implementation is mainly based on de Souza's thesis.

Force-based Finite Element for Large Displacement Inelastic Analysis of Frames

Author: tlc

Date: 16/12/2021

Version: 0.1.0

Member Function Documentation

◆ clear_status()

void B3DC::clear_status ( )

overridevirtual

Reimplemented from Orientation.

◆ commit_status()

void B3DC::commit_status ( )

overridevirtual

Reimplemented from Orientation.

◆ compute_a()

mat B3DC::compute_a ( ) const

protected

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◆ compute_g()

mat B3DC::compute_g	(	const mat &	a,
		const subview_col< double > &	rk,
		const subview_col< double > &	z
	)		const

protected

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◆ compute_l()

mat B3DC::compute_l	(	const mat &	a,
		const subview_col< double > &	rk
	)		const

protected

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◆ compute_m()

mat B3DC::compute_m	(	const mat &	a,
		const subview_col< double > &	z
	)		const

protected

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◆ e()

subview_col< double > B3DC::e ( uword I ) const

protected

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◆ is_nlgeom()

bool B3DC::is_nlgeom ( ) const

overridevirtual

Reimplemented from Orientation.

◆ ni()

subview_col< double > B3DC::ni ( uword I ) const

protected

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◆ nj()

subview_col< double > B3DC::nj ( uword I ) const

protected

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◆ nodal_size()

unsigned B3DC::nodal_size ( ) const

protectedvirtual

Reimplemented in B3DOSC.

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◆ r()

subview_col< double > B3DC::r ( uword I ) const

protected

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◆ reset_status()

void B3DC::reset_status ( )

overridevirtual

Reimplemented from Orientation.

◆ sni()

const mat & B3DC::sni ( uword I ) const

protected

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◆ snj()

const mat & B3DC::snj ( uword I ) const

protected

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◆ to_global_geometry_mat()

mat B3DC::to_global_geometry_mat ( const mat & l_force ) const

overridevirtual

Reimplemented from Orientation.

Reimplemented in B3DOSC.

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◆ to_global_stiffness_mat()

mat B3DC::to_global_stiffness_mat ( const mat & l_mat ) const

overridevirtual

Implements Orientation.

◆ to_global_vec()

vec B3DC::to_global_vec ( const vec & ) const

overridevirtual

transform anything from local to global system e.g., disp -> disp, vel -> vel, acc -> acc, not applicable to conversion such as disp -> strain

Returns: variable in global system

Implements Orientation.

◆ to_local_vec()

vec B3DC::to_local_vec ( const vec & ) const

overridevirtual

transform anything from global to local system e.g., disp -> disp, vel -> vel, acc -> acc, not applicable to conversion such as disp -> strain

Returns: variable in local system

Implements Orientation.

Reimplemented in B3DOSC.

◆ unique_copy()

unique_ptr< Orientation > B3DC::unique_copy ( )

overridevirtual

Implements Orientation.

Reimplemented in B3DOSC.

◆ update_direct_cosine()

void B3DC::update_direct_cosine ( const vec & x_axis )

protected

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◆ update_e()

void B3DC::update_e ( const vec & trial_cord )

protected

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◆ update_theta()

void B3DC::update_theta ( )

protected

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◆ update_transformation()

void B3DC::update_transformation ( )

overrideprotectedvirtual

Implements Orientation.

Reimplemented in B3DOSC.

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Member Data Documentation

◆ current_n

mat B3DC::current_n

protected

◆ current_ref

mat B3DC::current_ref

protected

◆ current_rotation

mat B3DC::current_rotation {3, 2, fill::zeros}

protected

◆ elongation

double B3DC::elongation = 0.

protected

◆ initial_length

const double B3DC::initial_length = 0.

protected

◆ sa

const span B3DC::sa {0, 2}

protected

◆ sb

const span B3DC::sb {3, 5}

protected

◆ sc

const span B3DC::sc {6, 8}

protected

◆ sd

const span B3DC::sd {9, 11}

protected

◆ se

field<mat> B3DC::se {3}

protected

◆ sn

field<mat> B3DC::sn {6}

protected

◆ theta

vec B3DC::theta

protected

◆ transformation

mat B3DC::transformation

protected

◆ trial_n

mat B3DC::trial_n

protected

◆ trial_ref

mat B3DC::trial_ref

protected

◆ trial_rotation

mat B3DC::trial_rotation {3, 2, fill::zeros}

protected

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

Element/Utility/B3DC.h
Element/Utility/B3DC.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ clear_status()

◆ commit_status()

◆ compute_a()

◆ compute_g()

◆ compute_l()

◆ compute_m()

◆ e()

◆ is_nlgeom()

◆ ni()

◆ nj()

◆ nodal_size()

◆ r()

◆ reset_status()

◆ sni()

◆ snj()

◆ to_global_geometry_mat()

◆ to_global_stiffness_mat()

◆ to_global_vec()

◆ to_local_vec()

◆ unique_copy()

◆ update_direct_cosine()

◆ update_e()

◆ update_theta()

◆ update_transformation()

Member Data Documentation

◆ current_n

◆ current_ref

◆ current_rotation

◆ elongation

◆ initial_length

◆ sa

◆ sb

◆ sc

◆ sd

◆ se

◆ sn

◆ theta

◆ transformation

◆ trial_n

◆ trial_ref

◆ trial_rotation