A GeneralizedAlpha class defines a solver using GeneralizedAlpha algorithm. More...

#include <GeneralizedAlpha.h>

Inheritance diagram for GeneralizedAlpha:

Collaboration diagram for GeneralizedAlpha:

Public Member Functions
	GeneralizedAlpha (unsigned, double)

	GeneralizedAlpha (unsigned, double, double)

void	assemble_resistance () override

void	assemble_matrix () override

vec	get_force_residual () override

vec	get_displacement_residual () override

sp_mat	get_reference_load () override

int	process_load () override

int	process_constraint () override

int	process_load_resistance () override

int	process_constraint_resistance () override

int	update_trial_status () override

void	update_parameter (double) override

vec	from_incre_velocity (const vec &, const uvec &) override

vec	from_incre_acceleration (const vec &, const uvec &) override

void	print () override

Public Member Functions inherited from ImplicitIntegrator
constexpr IntegratorType	type () const override

bool	time_independent_matrix () const override

	Integrator (unsigned=0)

	Integrator (const Integrator &)=delete

	Integrator (Integrator &&)=delete

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

	Integrator (const Integrator &)=delete

	Integrator (Integrator &&)=delete

Integrator &	operator= (const Integrator &)=delete

Integrator &	operator= (Integrator &&)=delete

	~Integrator () override=default

void	set_domain (const weak_ptr< DomainBase > &)

shared_ptr< DomainBase >	get_domain () const

virtual int	initialize ()

virtual constexpr IntegratorType	type () const

void	set_time_step_switch (bool)

bool	allow_to_change_time_step () const

void	set_matrix_assembled_switch (bool)

bool	matrix_is_assembled () const

virtual bool	has_corrector () const

virtual bool	time_independent_matrix () const

virtual int	process_load ()

virtual int	process_constraint ()

virtual int	process_criterion ()

virtual int	process_modifier ()

virtual int	process_load_resistance ()

virtual int	process_constraint_resistance ()

void	record () const

virtual void	assemble_resistance ()

virtual void	assemble_matrix ()

virtual vec	get_force_residual ()

virtual vec	get_displacement_residual ()

virtual vec	get_auxiliary_residual ()

virtual sp_mat	get_reference_load ()

virtual const vec &	get_trial_displacement () const

virtual void	update_load ()

virtual void	update_constraint ()

virtual void	update_trial_load_factor (double)

virtual void	update_trial_load_factor (const vec &)

virtual void	update_from_ninja ()

virtual void	update_trial_time (double)

virtual void	update_incre_time (double)

virtual int	update_trial_status ()

virtual int	correct_trial_status ()

virtual int	sync_status (bool)

virtual int	update_internal (const mat &)

mat	solve (const mat &)

mat	solve (const sp_mat &)

mat	solve (mat &&)

mat	solve (sp_mat &&)

virtual int	solve (mat &, const mat &)

virtual int	solve (mat &, const sp_mat &)

virtual int	solve (mat &, mat &&)

virtual int	solve (mat &, sp_mat &&)

virtual void	erase_machine_error (vec &) const

void	stage_and_commit_status ()

virtual void	stage_status ()

virtual void	commit_status ()

virtual void	clear_status ()

virtual void	reset_status ()

virtual void	update_parameter (double)

virtual vec	from_incre_velocity (const vec &, const uvec &)

virtual vec	from_incre_acceleration (const vec &, const uvec &)

virtual vec	from_total_velocity (const vec &, const uvec &)

virtual vec	from_total_acceleration (const vec &, const uvec &)

vec	from_incre_velocity (double, const uvec &)

vec	from_incre_acceleration (double, const uvec &)

vec	from_total_velocity (double, const uvec &)

vec	from_total_acceleration (double, const uvec &)

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

	Tag (const Tag &)=default

	Tag (Tag &&)=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 ()

Detailed Description

A GeneralizedAlpha class defines a solver using GeneralizedAlpha algorithm.

Unlike Newmark method, in which the equilibrium is satisfied at the end of current time step, i.e., \(t=t_0+\Delta{}t\), the generalized- \(\alpha\) approach applies it at somewhere in current step, i.e., \(t=t_0+\Delta{}t-\alpha\), similar to the generalized midpoint concept.

doi:10.1115/1.2900803

Author: tlc

Date: 21/10/2017

Version: 0.1.0

Constructor & Destructor Documentation

◆ GeneralizedAlpha() [1/2]

GeneralizedAlpha::GeneralizedAlpha	(	unsigned	T,
		double	R
	)

◆ GeneralizedAlpha() [2/2]

GeneralizedAlpha::GeneralizedAlpha	(	unsigned	T,
		double	AF,
		double	AM
	)

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Member Function Documentation

◆ assemble_matrix()

void GeneralizedAlpha::assemble_matrix ( )

overridevirtual

Assemble the global effective matrix A in AX=B. For FEM applications, it is often a linear combination of stiffness, mass, damping and geometry matrices.

Reimplemented from Integrator.

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◆ assemble_resistance()

void GeneralizedAlpha::assemble_resistance ( )

overridevirtual

Reimplemented from Integrator.

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◆ from_incre_acceleration()

vec GeneralizedAlpha::from_incre_acceleration	(	const vec &	,
		const uvec &	encoding
	)

overridevirtual

When external loads are applied, they can be applied in forms of displacement/velocity/acceleration. The time integration methods, by default, form effective stiffness matrices in displacement domain. That is, in AX=B, A is the effective stiffness matrix and X is the displacement increment. Thus, loads in velocity/acceleration must be converted to displacement. This cannot be done arbitrarily due to compatibility issues. This method takes acceleration increment and converts it to TOTAL displacement.

Reimplemented from Integrator.

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◆ from_incre_velocity()

vec GeneralizedAlpha::from_incre_velocity	(	const vec &	,
		const uvec &	encoding
	)

overridevirtual

When external loads are applied, they can be applied in forms of displacement/velocity/acceleration. The time integration methods, by default, form effective stiffness matrices in displacement domain. That is, in AX=B, A is the effective stiffness matrix and X is the displacement increment. Thus, loads in velocity/acceleration must be converted to displacement. This cannot be done arbitrarily due to compatibility issues. This method takes velocity increment and converts it to TOTAL displacement.

Reimplemented from Integrator.

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◆ get_displacement_residual()

vec GeneralizedAlpha::get_displacement_residual ( )

overridevirtual

Assemble the global residual vector in displacement-controlled solving schemes. Apart from the global resistance and external load vectors, the reference load vector shall also be considered.

Reimplemented from Integrator.

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◆ get_force_residual()

vec GeneralizedAlpha::get_force_residual ( )

overridevirtual

Assemble the global residual vector in load-controlled solving schemes.

Reimplemented from Integrator.

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◆ get_reference_load()

sp_mat GeneralizedAlpha::get_reference_load ( )

overridevirtual

Reimplemented from Integrator.

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◆ print()

void GeneralizedAlpha::print ( )

overridevirtual

Reimplemented from Tag.

◆ process_constraint()

int GeneralizedAlpha::process_constraint ( )

overridevirtual

The main task of this method is to apply constraints (of various forms implemented in various methods). Combinations of different types need to be considered: 1) homogeneous, 2) inhomogeneous, 3) linear, 4) nonlinear. Combinations of different methods need to be considered: 1) penalty, 2) multiplier. On exit, the global stiffness matrix should be updated, the global residual vector should be updated.

Reimplemented from Integrator.

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◆ process_constraint_resistance()

int GeneralizedAlpha::process_constraint_resistance ( )

overridevirtual

This method is similar to process_constraint(), but it only updates the global residual vector. The global stiffness matrix is not touched as in some solving schemes, the global stiffness matrix is only assembled and factorised once at the beginning. Subsequent iterations do not assemble the global stiffness matrix again and reuse the factorised matrix. In this case, the factorised matrix cannot be modified.

Reimplemented from Integrator.

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◆ process_load()

int GeneralizedAlpha::process_load ( )

overridevirtual

Reimplemented from Integrator.

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◆ process_load_resistance()

int GeneralizedAlpha::process_load_resistance ( )

overridevirtual

Reimplemented from Integrator.

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◆ update_parameter()

void GeneralizedAlpha::update_parameter ( double )

overridevirtual

When time step changes, some parameters may need to be updated.

Reimplemented from Integrator.

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◆ update_trial_status()

int GeneralizedAlpha::update_trial_status ( )

overridevirtual

Reimplemented from Integrator.

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

Solver/Integrator/GeneralizedAlpha.h
Solver/Integrator/GeneralizedAlpha.cpp

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ GeneralizedAlpha() [1/2]

◆ GeneralizedAlpha() [2/2]

Member Function Documentation

◆ assemble_matrix()

◆ assemble_resistance()

◆ from_incre_acceleration()

◆ from_incre_velocity()

◆ get_displacement_residual()

◆ get_force_residual()

◆ get_reference_load()

◆ print()

◆ process_constraint()

◆ process_constraint_resistance()

◆ process_load()

◆ process_load_resistance()

◆ update_parameter()

◆ update_trial_status()