Detailed Description

Author: Daniel Wirtz

Date: 2011-12-05

New in 0.6:: (Daniel Wirtz, 2011-12-05) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Homepage http://www.morepas.org/software/index.html
Documentation http://www.morepas.org/software/kermor/index.html
License KerMor license conditions

Definition at line 19 of file StraightBeam.m.

Public Member Functions
	StraightBeam (models.BaseFullModel model, material, pointsidx)

function M =	getLocalMassMatrix ()
	Berechnet lokale Steifigkeits- und Massenmatrix eines Timoshenko-Balkens c kodiert Stoffparameter: c1 = EI c2 = c1^2 = (EI)^2 c3 = GAsL c4 = c3^2 = (GAsL)^2 c5 = GAsL^2 c6 = c5^2 = (GAsL^2)^2 c7 = c1c5 = EIGAsL^2 c8 = c1GAs = EIGAs c9 = rhoA c10= q = rhoAOrtsfaktor c11 = rhoI c12 = rhoAl/6; c13 = EA/l; c14 = GI_t/l. More...

function K =	getLocalStiffnessMatrix ()
	Berechnet lokale Steifigkeitsmatrix eines Timoshenko-Balkens. More...

function f =	getLocalForceMatrix ()

function [ K , R , U_pot ] =	getLocalTangentials (u)
	Wertet tangentielle Steifigkeitsmatrix, "Residuumsvektor" (= Vektor der virtuellen internen Energie) und potenzielle Energie aus. More...

function N =	beam_shape_functions_derivative (s)
	Wertet (analytische) Basisfunktion f�r einen geraden Balken der L�nge L und den Stoffkonstanten c an der Stelle s aus. c1 = EI c2 = c1^2 = (EI)^2 c3 = GAsL c4 = c3^2 = (GAsL)^2 c5 = c3L = GAsL^2 c6 = c5^2 = (GAsL^2)^2 c7 = c1c5 = EIGAsL^2 c8 = c1GAs = EIGAs c9 = rhoA c10= rhoAOrtsfaktor c11= rhoI c12= c9L/6 = rhoAL/6 c13= EA/L c14= GIt/L c15= rhoItL/6. More...

function	plot (p, u1, u2, col1, col2, plot_options)
	Zeichnet Timoshenko Balken mit analytischen Ansatzfunktionen mit Stoffparametern c Die Ansatzfunktionen werden dabei an N Zwischenstellen ausgewertet, d.h. N=0 ist zul�ssig Anfangs- und Endpunkte (x, y, z), sowie Anfangs- und Endverschiebung (lokal!) (u, v, w, phi, psi, theta) sind gegeben. Colormap-Indices f�r Anfangs-/Endpunkt col1/col2 sind gegeben, Farbe wird linear interpoliert. More...

Public Member Functions inherited from models.beam.Beam
	Beam (models.BaseFullModel model, material, pointsidx)

function globIdx =	getGlobalIndices ()
	Returns the global indices in the vector of DoFs for this element. More...

Public Member Functions inherited from models.beam.StructureElement
	StructureElement (models.BaseFullModel model, material, pointsidx)

virtual function [ M , K , f , K , R , U_pot , globIdx ] =	getGlobalIndices (gravity, this, u, this)

Static Public Member Functions
static function N =	beam_shape_functions (s, L, c)
	Wertet (analytische) Basisfunktion f�r einen geraden Balken der L�nge L und den Stoffkonstanten c an der Stelle s aus. c1 = EI c2 = c1^2 = (EI)^2 c3 = GAsL c4 = c3^2 = (GAsL)^2 c5 = c3L = GAsL^2 c6 = c5^2 = (GAsL^2)^2 c7 = c1c5 = EIGAsL^2 c8 = c1GAs = EIGAs c9 = rhoA c10= rhoAOrtsfaktor c11= rhoI c12= c9L/6 = rhoAL/6 c13= EA/L c14= GIt/L c15= rhoItL/6. More...

Protected Member Functions
function	initialize ()
	Initializes the straight beam element. More...

Protected Member Functions inherited from models.beam.Beam
function	initialize ()
	this.c_theta = this.Material(9); this.kappa = this.Material(10); this.alphaA = this.Material(11) * this.Material(2) * this.Material(3); % alphaAE More...

Additional Inherited Members
Public Attributes inherited from models.beam.Beam
	split
	Speichert den anteil des jeweiligen Elements an der Gesamtsysteml�nge. More...

Public Attributes inherited from models.beam.StructureElement
	PointsIdx
	Punkt-Index-Array. More...

	Material
	Material vector. More...

	Length
	Indizes (lokal pro Knoten) in die die lokalen Matrizen assembliert werden Konvention: Freiheitsgrade pro Knoten (u1, u2, u3, phi1, phi2, phi3, T, [...]) MatrixDofIndices; L�nge des Elements. More...

	Model
	The model that contains the structure element. More...

	T
	Transformationsmatrix f�r das lokale Koordinatensystem. More...

	c
	Effektive Stoffkonstanten. More...

Public Attributes inherited from handle
	addlistener
	Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More...

	notify
	Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More...

	delete
	Handle object destructor method that is called when the object's lifecycle ends. More...

	disp
	Handle object disp method which is called by the display method. See the MATLAB disp function. More...

	display
	Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More...

	findobj
	Finds objects matching the specified conditions from the input array of handle objects. More...

	findprop
	Returns a meta.property objects associated with the specified property name. More...

	fields
	Returns a cell array of string containing the names of public properties. More...

	fieldnames
	Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More...

	isvalid
	Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More...

	eq
	Relational functions example. See details for more information. More...

	transpose
	Transposes the elements of the handle object array. More...

	permute
	Rearranges the dimensions of the handle object array. See the MATLAB permute function. More...

	reshape
	hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More...

	sort
	ort the handle objects in any array in ascending or descending order. More...

Protected Attributes inherited from models.beam.StructureElement
	TG
	c_theta = []; kappa = []; alphaA = []; The global transformation matrix (?) More...

Constructor & Destructor Documentation

models.beam.StraightBeam.StraightBeam	(	models.BaseFullModel	model,
			material,
			pointsidx
	)

Definition at line 42 of file StraightBeam.m.

References initialize().

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Member Function Documentation

function N = models.beam.StraightBeam.beam_shape_functions	(	s,
		L,
		c
	)

static

Wertet (analytische) Basisfunktion f�r einen geraden Balken der L�nge L und den Stoffkonstanten c an der Stelle s aus. c1 = E*I c2 = c1^2 = (E*I)^2 c3 = G*As*L c4 = c3^2 = (G*As*L)^2 c5 = c3*L = G*As*L^2 c6 = c5^2 = (G*As*L^2)^2 c7 = c1*c5 = E*I*G*As*L^2 c8 = c1*G*As = E*I*G*As c9 = rho*A c10= rho*A*Ortsfaktor c11= rho*I c12= c9*L/6 = rho*A*L/6 c13= E*A/L c14= G*It/L c15= rho*It*L/6.

Definition at line 615 of file StraightBeam.m.

References models.beam.StructureElement.c.

function N = models.beam.StraightBeam.beam_shape_functions_derivative ( s )

Wertet (analytische) Basisfunktion f�r einen geraden Balken der L�nge L und den Stoffkonstanten c an der Stelle s aus. c1 = E*I c2 = c1^2 = (E*I)^2 c3 = G*As*L c4 = c3^2 = (G*As*L)^2 c5 = c3*L = G*As*L^2 c6 = c5^2 = (G*As*L^2)^2 c7 = c1*c5 = E*I*G*As*L^2 c8 = c1*G*As = E*I*G*As c9 = rho*A c10= rho*A*Ortsfaktor c11= rho*I c12= c9*L/6 = rho*A*L/6 c13= E*A/L c14= G*It/L c15= rho*It*L/6.

Definition at line 345 of file StraightBeam.m.

References models.beam.StructureElement.c, and models.beam.StructureElement.Length.

Referenced by getLocalTangentials().

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function f = models.beam.StraightBeam.getLocalForceMatrix ( )

Definition at line 195 of file StraightBeam.m.

References models.beam.StructureElement.c, l, models.beam.StructureElement.Length, models.beam.Material.q_plus, models.beam.StructureElement.T, t, and models.beam.StructureElement.TG.

function M = models.beam.StraightBeam.getLocalMassMatrix ( )

Berechnet lokale Steifigkeits- und Massenmatrix eines Timoshenko-Balkens c kodiert Stoffparameter: c1 = E*I c2 = c1^2 = (E*I)^2 c3 = G*As*L c4 = c3^2 = (G*As*L)^2 c5 = G*As*L^2 c6 = c5^2 = (G*As*L^2)^2 c7 = c1*c5 = E*I*G*As*L^2 c8 = c1*G*As = E*I*G*As c9 = rho*A c10= q = rho*A*Ortsfaktor c11 = rho*I c12 = rho*A*l/6; c13 = E*A/l; c14 = G*I_t/l.

Definition at line 48 of file StraightBeam.m.

References models.beam.StructureElement.c, l, models.beam.StructureElement.Length, t, and models.beam.StructureElement.TG.

function K = models.beam.StraightBeam.getLocalStiffnessMatrix ( )

Berechnet lokale Steifigkeitsmatrix eines Timoshenko-Balkens.

c kodiert Stoffparameter: c1 = E*I c2 = c1^2 = (E*I)^2 c3 = G*As*L c4 = c3^2 = (G*As*L)^2 c5 = G*As*L^2 c6 = c5^2 = (G*As*L^2)^2 c7 = c1*c5 = E*I*G*As*L^2 c8 = c1*G*As = E*I*G*As c9 = rho*A c10= q = rho*A*Ortsfaktor c11 = rho*I c12 = rho*A*l/6; c13 = E*A/l; c14 = G*I_t/l

Note: Habe das ehemals in prepareConstants liegende index_lok

hier ans ende jeder fkt gepackt: index_0_lok = [1 5 9 3 10 6]; index_l_lok = [2 7 11 4 12 8]; index_lok = [index_0_lok index_l_lok]

Definition at line 127 of file StraightBeam.m.

References models.beam.StructureElement.c, l, models.beam.StructureElement.Length, t, and models.beam.StructureElement.TG.

function [ K , R , U_pot ] = models.beam.StraightBeam.getLocalTangentials ( u )

Wertet tangentielle Steifigkeitsmatrix, "Residuumsvektor" (= Vektor der virtuellen internen Energie) und potenzielle Energie aus.

Definition at line 211 of file StraightBeam.m.

References beam_shape_functions_derivative(), models.beam.StructureElement.c, F, models.beam.StructureElement.Length, t, and models.beam.StructureElement.TG.

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function models.beam.StraightBeam.initialize ( )

protected

Initializes the straight beam element.

Definition at line 534 of file StraightBeam.m.

References models.beam.StructureElement.c, l, models.beam.StructureElement.Length, models.beam.StructureElement.Material, models.beam.StructureElement.Model, models.beam.StructureElement.PointsIdx, models.beam.StructureElement.T, t, and models.beam.StructureElement.TG.

Referenced by StraightBeam().

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function models.beam.StraightBeam.plot	(	p,
		u1,
		u2,
		col1,
		col2,
		plot_options
	)

Zeichnet Timoshenko Balken mit analytischen Ansatzfunktionen mit Stoffparametern c Die Ansatzfunktionen werden dabei an N Zwischenstellen ausgewertet, d.h. N=0 ist zul�ssig Anfangs- und Endpunkte (x, y, z), sowie Anfangs- und Endverschiebung (lokal!) (u, v, w, phi, psi, theta) sind gegeben. Colormap-Indices f�r Anfangs-/Endpunkt col1/col2 sind gegeben, Farbe wird linear interpoliert.

Required fields of plot_options:

Definition at line 418 of file StraightBeam.m.

References models.beam.StructureElement.c, models.beam.StructureElement.Length, models.beam.StructureElement.PointsIdx, models.beam.Beam.split, models.beam.StructureElement.T, and t.

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

+models/+beam/StraightBeam.m

Detailed Description

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

Member Function Documentation