num_prob_collect::ode::external_force_vibration_problem Class Reference

Class of test problem of vibration with external force. More...

#include <num_prob_collect/ode/external_force_vibration_problem.h>

Collaboration diagram for num_prob_collect::ode::external_force_vibration_problem:

Public Types
using	jacobian_type = Eigen::Matrix2d
	Type of Jacobian.
using	scalar_type = double
	Type of scalars.
using	variable_type = Eigen::Vector2d
	Type of variables.

Public Member Functions
	external_force_vibration_problem ()
	Constructor.
auto	diff_coeff () const noexcept -> const variable_type &
	Get the differential coefficient.
void	evaluate_on (scalar_type time, const variable_type &variable, num_collect::ode::evaluation_type)
	Evaluate on a (time, variable) pair.
auto	jacobian () const noexcept -> const jacobian_type &
	Get the Jacobian.
auto	time_derivative () const noexcept -> const variable_type &
	Get the partial derivative with respect to time.

Static Public Attributes
static constexpr auto	allowed_evaluations
	Allowed evaluations.

Private Attributes
variable_type	diff_coeff_ {}
	Differential coefficient.
jacobian_type	jacobian_ {}
	Jacobian.
variable_type	time_derivative_ {}
	Partial derivative with respect to time.

Detailed Description

Class of test problem of vibration with external force.

This solves for following equation of motion:

\[ \ddot{x} = \sin{t} \]

In this class, the following equation is used to solve the above equation:

\[ \frac{d}{dt} \begin{pmatrix} \dot{x} \\ x \end{pmatrix} = \begin{pmatrix} \sin{t} \\ \dot{x} \end{pmatrix} \]

When the initial variable is \((-1, 0)\), the solution is \((-\cos{t}, -\sin{t})\).

Definition at line 48 of file external_force_vibration_problem.h.

Member Typedef Documentation

jacobian_type

using num_prob_collect::ode::external_force_vibration_problem::jacobian_type = Eigen::Matrix2d

Type of Jacobian.

Definition at line 57 of file external_force_vibration_problem.h.

scalar_type

using num_prob_collect::ode::external_force_vibration_problem::scalar_type = double

Type of scalars.

Definition at line 54 of file external_force_vibration_problem.h.

variable_type

using num_prob_collect::ode::external_force_vibration_problem::variable_type = Eigen::Vector2d

Type of variables.

Definition at line 51 of file external_force_vibration_problem.h.

Constructor & Destructor Documentation

external_force_vibration_problem()

num_prob_collect::ode::external_force_vibration_problem::external_force_vibration_problem ( )

inline

Constructor.

Definition at line 62 of file external_force_vibration_problem.h.

Member Function Documentation

diff_coeff()

auto num_prob_collect::ode::external_force_vibration_problem::diff_coeff ( ) const -> const variable_type&

inlinenodiscardnoexcept

Get the differential coefficient.

Returns

Differential coefficient.

Definition at line 88 of file external_force_vibration_problem.h.

evaluate_on()

void num_prob_collect::ode::external_force_vibration_problem::evaluate_on ( scalar_type time, const variable_type & variable, num_collect::ode::evaluation_type  )

inline

Evaluate on a (time, variable) pair.

Parameters

[in]	time	Time.
[in]	variable	Variable.

Definition at line 75 of file external_force_vibration_problem.h.

jacobian()

auto num_prob_collect::ode::external_force_vibration_problem::jacobian ( ) const -> const jacobian_type&

inlinenodiscardnoexcept

Get the Jacobian.

Returns

Jacobian.

Definition at line 97 of file external_force_vibration_problem.h.

time_derivative()

auto num_prob_collect::ode::external_force_vibration_problem::time_derivative ( ) const -> const variable_type&

inlinenodiscardnoexcept

Get the partial derivative with respect to time.

Returns

Derivative.

Definition at line 106 of file external_force_vibration_problem.h.

Member Data Documentation

allowed_evaluations

auto num_prob_collect::ode::external_force_vibration_problem::allowed_evaluations

staticconstexpr

Initial value:

=
        num_collect::ode::evaluation_type{
            .diff_coeff = true, .jacobian = true, .time_derivative = true}

Allowed evaluations.

Definition at line 65 of file external_force_vibration_problem.h.

diff_coeff_

variable_type num_prob_collect::ode::external_force_vibration_problem::diff_coeff_ {}

private

Differential coefficient.

Definition at line 113 of file external_force_vibration_problem.h.

jacobian_

jacobian_type num_prob_collect::ode::external_force_vibration_problem::jacobian_ {}

private

Jacobian.

Definition at line 116 of file external_force_vibration_problem.h.

time_derivative_

variable_type num_prob_collect::ode::external_force_vibration_problem::time_derivative_ {}

private

Partial derivative with respect to time.

Definition at line 119 of file external_force_vibration_problem.h.

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

• problems/include/num_prob_collect/ode/external_force_vibration_problem.h