Axisymmetrially oscillating disk with displacement field according to linear elasticity. More...

Inheritance diagram for AxisymOscillatingDisk:

Public Member Functions
	AxisymOscillatingDisk (const double &ampl, const double &nu, TimeStepper *time_stepper_pt)
	Constructor: 2 Lagrangian coordinate, 2 Eulerian coords. Pass amplitude of oscillation, Poisson ratio nu, and pointer to global timestepper. More...

	~AxisymOscillatingDisk ()
	Destructor (empty) More...

void	position (const Vector< double > &xi, Vector< double > &r) const
	Position vector at Lagrangian coordinate xi at present time. More...

void	veloc (const Vector< double > &xi, Vector< double > &veloc)
	Parametrised velocity on object at current time: veloc = d r(xi)/dt. More...

void	accel (const Vector< double > &xi, Vector< double > &accel)
	Parametrised acceleration on object at current time: accel = d^2 r(xi)/dt^2. More...

void	dposition_dt (const Vector< double > &xi, const unsigned &j, Vector< double > &drdt)
	Parametrised j-th time-derivative on object at current time: $\frac{d^{j} r(\zeta)}{dt^j}$ . More...

Static Public Member Functions
static void	residual_for_dispersion (const Vector< double > &param, const Vector< double > &omega, Vector< double > &residual)
	Residual of dispersion relation for use in black-box Newton method which requires global (or static) functions. Poisson's ratio is passed as parameter. More...

Private Attributes
double	Ampl
	Amplitude of oscillation. More...

double	T
	Period of oscillation. More...

double	Nu
	Poisson ratio nu. More...

double	Omega
	Eigenfrequency. More...

Detailed Description

Axisymmetrially oscillating disk with displacement field according to linear elasticity.

Definition at line 88 of file disk_oscillation.cc.

Constructor & Destructor Documentation

◆ AxisymOscillatingDisk()

AxisymOscillatingDisk::AxisymOscillatingDisk	(	const double &	ampl,
		const double &	nu,
		TimeStepper *	time_stepper_pt
	)

Constructor: 2 Lagrangian coordinate, 2 Eulerian coords. Pass amplitude of oscillation, Poisson ratio nu, and pointer to global timestepper.

Constructor: 2 Lagrangian coordinates, 2 Eulerian coords. Pass amplitude of oscillation, Poisson ratio nu, and pointer to global timestepper.

Definition at line 177 of file disk_oscillation.cc.

References Nu, Omega, residual_for_dispersion(), and T.

Referenced by DiskOscillationProblem< ELEMENT >::run().

◆ ~AxisymOscillatingDisk()

AxisymOscillatingDisk::~AxisymOscillatingDisk ( )

inline

Destructor (empty)

Definition at line 100 of file disk_oscillation.cc.

Member Function Documentation

◆ accel()

void AxisymOscillatingDisk::accel	(	const Vector< double > &	xi,
		Vector< double > &	accel
	)

Parametrised acceleration on object at current time: accel = d^2 r(xi)/dt^2.

Definition at line 287 of file disk_oscillation.cc.

References Ampl, Omega, and T.

◆ dposition_dt()

void AxisymOscillatingDisk::dposition_dt	(	const Vector< double > &	xi,
		const unsigned &	j,
		Vector< double > &	drdt
	)

inline

Parametrised j-th time-derivative on object at current time: $\frac{d^{j} r(\zeta)}{dt^j}$ .

Definition at line 115 of file disk_oscillation.cc.

◆ position()

void AxisymOscillatingDisk::position	(	const Vector< double > &	xi,
		Vector< double > &	r
	)		const

Position vector at Lagrangian coordinate xi at present time.

Position Vector at Lagrangian coordinate xi at present time.

Definition at line 210 of file disk_oscillation.cc.

References Ampl, Omega, and T.

◆ residual_for_dispersion()

void AxisymOscillatingDisk::residual_for_dispersion	(	const Vector< double > &	param,
		const Vector< double > &	omega,
		Vector< double > &	residual
	)

static

Residual of dispersion relation for use in black-box Newton method which requires global (or static) functions. Poisson's ratio is passed as parameter.

Residual of dispersion relation for use in black box Newton method which requires global (or static) functions. Poisson's ratio is passed as parameter.

Definition at line 327 of file disk_oscillation.cc.

Referenced by AxisymOscillatingDisk().