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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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DynLinTimoshenkoModel: More...
This class is part of the framework
Homepage http://www.morepas.org/software/index.htmlDocumentation http://www.morepas.org/software/kermor/index.htmlLicense KerMor license conditions Definition at line 19 of file DynLinTimoshenkoModel.m.
Public Member Functions | |
| DynLinTimoshenkoModel (char cfgfile,logical nonlinear) | |
| Creates a new timoshenko model. More... | |
| function | exportGeometry (handle f,char folder,export.JaRMoSExport export) |
| Exports the model geometry to JKerMor. More... | |
| function | plot (rowvec t,matrix u) |
| plot: Plots the current displacements and heat (u = 4 x numNodes x timesteps matrix) More... | |
| function | plotSingle (double t,colvec u,handle h) |
| plot_single: Plots a single beam configuration for given time and field data. More... | |
 Public Member Functions inherited from models.BaseFullModel | |
| BaseFullModel (char name) | |
| Creates a new instance of a full model. More... | |
| function | delete () |
| function | off1_createParamSamples () |
| Offline phase 1: Sample generation. More... | |
| function | off2_genTrainingData () |
| Offline phase 2: Snapshot generation for subspace computation. More... | |
| function | off3_computeReducedSpace () |
| Offline phase 3: Generate state space reduction. More... | |
| function | off4_genApproximationTrainData () |
| Generates the training data \(x_i\) for the \(\hat{f}\)-approximation and precomputes \(f(x_i)\) values. More... | |
| function | off5_computeApproximation () |
| Offline phase 5: Core function approximation. More... | |
| function | off6_prepareErrorEstimator () |
| Prepares offline data for a possible error estimator. More... | |
| function | offlineGenerations () |
| Performs all large offline computations for model reduction. More... | |
| function [
models.ReducedModel reduced , double time ] = | buildReducedModel (varargin) |
| Builds a reduced model from a full model. More... | |
| function [
t , x , time , cache ] = | computeTrajectory (colvec< double > mu, inputidx) |
| Computes a solution/trajectory for the given mu and inputidx in the SCALED state space. More... | |
| function [
double t ,
matrix< double > y , colvec < double > mu , in , ct ] = | getSimCacheTrajectory (nr) |
| function | plotTrajectoryNr (nr) |
| function [
V , W ] = | assembleProjectionMatrices (target_dim) |
| function file = | save (char directory,char filename) |
| Saves this instance inside the data.ModelData.DataDirectory folder using the model's SaveTag if set or "model.mat". More... | |
| Public Member Functions inherited from models.BaseModel | |
| BaseModel () | |
| function | delete () |
| function | initDefaultParameter () |
| Reads the default values of the System's ModelParam list and initializes the BaseModel.DefaultMu with it. More... | |
| function [
rowvec< double > t , matrix < double > y , double sec , x ] = | simulate (colvec< double > mu,integer inputidx) |
| Simulates the system and produces the system's output. More... | |
| function [ handle f , handle ax ] = | plot (rowvec< double > t,matrix< double > y, varargin) |
| Plots the results of the simulation. Override in subclasses for a more specific plot if desired. More... | |
| function [ handle f , handle ax ] = | plotState (rowvec t,matrix< double > x, varargin) |
| Plots the results of the simulation. Override in subclasses for a more specific plot if desired. More... | |
| function [
f , ax ] = | plotSingle (double t,colvec< double > y, varargin) |
| Plots a single solution. Override in subclasses for specific plot behaviour. More... | |
| function | plotInputs (pm) |
| function [
double t ,
colvec< double > x , double ctime ] = | solveStatic (colvec< double > mu,integer inputidx) |
| Solves the linear system \(A(t,\mu)*x + f(t,\mu) + B(t,\mu)*u(t) = 0\). Spatial dependence of f is neglected in the current implementation (since this would require solving a nonlinear system). More... | |
| function [
rowvec< double > t , matrix < double > x , double ctime ] = | computeTrajectory (colvec< double > mu,integer inputidx) |
| Computes a solution/trajectory for the given mu and inputidx in the SCALED state space. More... | |
| function matrix < double > mu = | getRandomParam (integer num,integer seed) |
| Gets a random parameter sample from the system's parameter domain P. More... | |
| Public Member Functions inherited from KerMorObject | |
| KerMorObject () | |
| Constructs a new KerMor object. More... | |
| function | display () |
| disp(object2str(this)); More... | |
| function bool = | eq (B) |
| Checks equality of two KerMor objects. More... | |
| function bool = | ne (B) |
| Checks if two KerMorObjects are different. More... | |
| function cn = | getClassName () |
| Returns the simple class name of this object without packages. More... | |
| Public Member Functions inherited from DPCMObject | |
| DPCMObject () | |
| Creates a new DPCM object. More... | |
| DPCMObject () | |
Static Public Member Functions | |
| static function | experiment1 () |
| static function | test_TimoshenkoModel () |
| Linear. More... | |
| Static Public Member Functions inherited from models.BaseFullModel | |
| static function | test_BaseModels () |
| static function res = | test_BareModel () |
| static function | test_LinearModel () |
| static function | test_LinearModelNoProj () |
| static function | test_LinearModelNoApprox () |
| static function | test_LinearModelParams () |
| static function | test_LinearModelInputs () |
| static function | test_LinearModelParamsInput () |
| static function | test_NonlinearModel () |
| static function | test_NonlinearModelParams () |
| static function | test_NonlinearModelInputs () |
| static function | test_NonlinearModelParamsInput () |
| static function | test_TimeDependentOutput () |
| static function res = | test_FileSystemTidyness () |
| Plain small model. More... | |
Public Attributes | |
| double | PlotFactor = 20 |
| Plot enhancement factor. More... | |
| double | BeamLineWidth = 3 |
| The beam line width for plotting. More... | |
| integer | NumColors = 128 |
| Number of colors for plotting. More... | |
| BeamRefinementFactor | |
| CurvedBeamRefinementFactor | |
| matrix | Points |
| 3D coordinates of the beam end points More... | |
| struct | Elements |
| Cell array of all model structure elements. More... | |
| logical | NonlinearModel = false |
| Flag that indicates if the nonlinear model is used. More... | |
| Supports | |
| Loads | |
| Materials | |
| char | ConfigFile |
| The configuration file used for this model. More... | |
| data | |
| f_neum | |
| Vector for neumann boundary conditions. More... | |
| dir_u | |
| dir_T | |
| free | |
| The indices in the global state space vector of all points including dirichlet points (dim=7: 3location, 3velocity & heat) More... | |
| u_dir | |
| Extracted Dirichlet values full u vector (using dir_u) More... | |
| matrix | ColorMap |
| The color map to use. Value is hardcoded so far. More... | |
| maxTemp = 0 | |
| Maximum temperature for plotting. More... | |
| minTemp = 0 | |
| Maximum temperature for plotting. More... | |
| cbh | |
| ColorBar handle. More... | |
| RO_raw | |
| KR_raw | |
| FH_raw | |
| RO_factor_global = 1 | |
| KR_factor_global = 1 | |
| Public Attributes inherited from models.BaseFullModel | |
| data.ModelData | Data |
| The full model's data container. Defaults to an empty container. More... | |
| export.JKerMorExport | JKerMorExport |
| Export instance for possible export of this model to JKerMor. More... | |
| sampling.BaseSampler | Sampler |
| The sampling strategy the Model uses. More... | |
| spacereduction.BaseSpaceReducer | SpaceReducer |
| The reduction algorithm for subspaces. More... | |
| approx.BaseApprox | Approx = "[]" |
| The approximation method for the CoreFunction. More... | |
| function_handle | preApproximationTrainingCallback |
| Advanced property. Must be a function handle taking the current model instance. More... | |
| function_handle | postApproximationTrainingCallback |
| Advanced property. Must be a function handle taking the current model instance. More... | |
| logical | EnableTrajectoryCaching = false |
| Flag that enables caching of computed trajectories in a simulation cache stored in KerMor's TempDirectory folder. More... | |
| error.BaseEstimator | ErrorEstimator = "[]" |
| The associated error estimator for this model. More... | |
| logical | ComputeTrajectoryFxiData = false |
| Flag that determines whether fxi data should be computed along with the trajectories or not. More... | |
| logical | ProjectApproxTrainingData = false |
| Flag to determine if the data collected by the approx.Approx.TrainDataSelector should be projected into the previously computed projection space V (see offline phase 3). If so, the \(f(x_i)\) values are also re-computed for the updated \(x_i\) samples. More... | |
| logical | AutoSave = false |
| Flag to enable automatic saving of the model after each individual offline phase step and at other locations prone to data loss due to lengthy computations. More... | |
| char | SaveTag = "" |
| A custom tag that can be used as a prefix to files for corresponding model identification. More... | |
| integer | TrainingInputs |
| The indices of inputs to use for training data generation. Uses the DefaultInput if not set (and DefaultInput is not empty) More... | |
| rowvec< integer > | TrainingParams |
| The indices of the model parameters to use for training data generation. More... | |
| integer | TrainingInputCount |
| Gets the number of inputs used for training. More... | |
| rowvec< double > | OfflinePhaseTimes = "[]" |
| The computation times for all phases of the last offline generation. More... | |
| TrajectoriesCompleted = "[]" | |
| Contains a flag for each input/parameter combination which has been successfully computed completely during the offline phase. More... | |
| Public Attributes inherited from models.BaseModel | |
| models.BaseFirstOrderSystem | System = "[]" |
| The actual dynamical system used in the model. More... | |
| char | Name = "" |
| The name of the Model. More... | |
| matrix< double > | G = 1 |
| The custom scalar product matrix \(\vG\). More... | |
| double | RealTimePlottingMinPause = .1 |
| Minimum pause between successive steps when RealTimePlotting is enabled. More... | |
| logical | isStatic = false |
| Determines if the model is time dependent or static. More... | |
| integer | DefaultInput = "[]" |
| The default input to use if none is given. More... | |
| Times | |
| Evaluation points \(\{0=t_0,\ldots,t_n=T\}\) of the model. More... | |
| rowvec< double > | scaledTimes |
| The time steps Times in scaled time units \(\tilde{t_i} = \frac{t_i}{\tau}\). More... | |
| double | Tscaled |
| The scaled end time \(\tilde{T} = \frac{T}{\tau}\). More... | |
| double | tau |
| Time scaling factor \(\tau\). More... | |
| double | T |
| The final timestep \(T\) up to which to simulate. More... | |
| double | dt |
| The desired time-stepsize \(\Delta t\) for simulations. More... | |
| solvers.BaseSolver | ODESolver |
| The solver to use for the ODE. Must be an instance of any solvers.BaseSolver subclass. More... | |
| logical | RealTimePlotting |
| Determines if the simulation should plot intermediate steps during computation. More... | |
| colvec< double > | DefaultMu = "[]" |
| The default parameter value if none is given. More... | |
| dtscaled = .1 | |
| The scaled timestep \(\tilde{\Delta t} = \frac{\Delta t}{\tau}\). More... | |
| char | gitRefOnSave = "" |
| Contains the GIT revision of this model when it was last saved. More... | |
| Public Attributes inherited from DPCMObject | |
| WorkspaceVariableName = "" | |
| The workspace variable name of this class. Optional. More... | |
| ID = "[]" | |
| An ID that allows to uniquely identify this DPCMObject (at least within the current MatLab session/context). More... | |
| PropertiesChanged = "[]" | |
| The Dictionary containing all the property settings as key/value pairs. 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... | |
| Public Attributes inherited from IParallelizable | |
| ComputeParallel = false | |
| Flag whether the code should be run in parallel or not. More... | |
Static Public Attributes | |
| static const | withHeat = false |
| No heat modeling at the current stage. More... | |
Additional Inherited Members | |
| Protected Member Functions inherited from models.BaseModel | |
| function this = | saveobj () |
| Store the current GIT branch in the object. More... | |
| function | plotstep (src, ed) |
| Callback for the ODE solvers StepPerformed event that enables during-simulation-plotting. More... | |
| Protected Member Functions inherited from KerMorObject | |
| function | checkType (obj, type) |
| Object typechecker. More... | |
| Protected Member Functions inherited from DPCMObject | |
| function | registerProps (varargin) |
| Call this method at any class that defines DPCM observed properties. More... | |
| function | registerProps (varargin) |
| Static Protected Member Functions inherited from models.BaseFullModel | |
| static function this = | loadobj (this, sobj) |
| Static Protected Member Functions inherited from models.BaseModel | |
| static function this = | loadobj (this, s) |
| Static Protected Member Functions inherited from DPCMObject | |
| static function obj = | loadobj (obj, from) |
| Re-register any registered change listeners! More... | |
| static function obj = | loadobj (obj, from) |
Creates a new timoshenko model.
| cfgfile | The configuration file for the beams. Default: Simpel1.txt |
| nonlinear | Flag to indicate if the linear or nonlinear model should be used. Default: false |
Definition at line 287 of file DynLinTimoshenkoModel.m.
References models.BaseFullModel.Approx, ConfigFile, models.BaseFullModel.Data, models.BaseModel.dt, exportGeometry(), FH_raw, models.BaseFirstOrderSystem.InputCount, models.BaseFullModel.JKerMorExport, KR_raw, Loads, Materials, models.BaseModel.Name, NonlinearModel, models.BaseModel.ODESolver, Points, RO_raw, models.BaseFullModel.Sampler, models.BaseFullModel.SpaceReducer, Supports, models.BaseModel.System, models.BaseModel.T, models.BaseFullModel.TrainingInputs, and data.ModelData.useFileTrajectoryData().
|
static |
Definition at line 509 of file DynLinTimoshenkoModel.m.
References models.BaseFullModel.save().
| function models.beam.DynLinTimoshenkoModel.exportGeometry | ( | handle | f, |
| char | folder, | ||
| export.JaRMoSExport | export | ||
| ) |
Exports the model geometry to JKerMor.
To be done
| f | A file handle to write the model xml |
| folder | The target folder |
| export | The exporter instance. |
Definition at line 384 of file DynLinTimoshenkoModel.m.
References dir_u, Elements, Points, handle.reshape, t, and u_dir.
Referenced by DynLinTimoshenkoModel().
plot: Plots the current displacements and heat (u = 4 x numNodes x timesteps matrix)
This class is part of the framework
Homepage http://www.morepas.org/software/index.htmlDocumentation http://www.morepas.org/software/kermor/index.htmlLicense KerMor license conditions| t | The times \(t_i\) |
| u | The displacement and heat value matrix, with entry \(u_i\) in column \(i\) of \(u\). |
Definition at line 20 of file plot.m.
References t.
plot_single: Plots a single beam configuration for given time and field data.
This class is part of the framework
Homepage http://www.morepas.org/software/index.htmlDocumentation http://www.morepas.org/software/kermor/index.htmlLicense KerMor license conditions| t | The times \(t\) |
| u | The displacement and heat values at \(t\) |
| h | The axes handle to plot to. |
Definition at line 20 of file plotSingle.m.
References t.
|
static |
| models.beam.DynLinTimoshenkoModel.BeamLineWidth = 3 |
The beam line width for plotting.
Default: 3
SetObservable set to true. Definition at line 68 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.BeamRefinementFactor |
Definition at line 102 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.cbh |
ColorBar handle.
SetAccess = Private, GetAccess = Public Definition at line 259 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.ColorMap |
The color map to use. Value is hardcoded so far.
col = colormap(hot); Eigene Colormap erstellen (num_col Farben) blau -> gr�n -> rot num_col = 128; dc = [0:2/num_col:1]'; col = [0*dc dc 1-dc; dc 1-dc 0*dc]; blau -> gr�n -> gelb -> rot
Dependent set to true. SetAccess = Private, GetAccess = Public Definition at line 219 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.ConfigFile |
The configuration file used for this model.
SetAccess = Private, GetAccess = Public Definition at line 162 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.CurvedBeamRefinementFactor |
Definition at line 105 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.data |
Definition at line 175 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.dir_T |
Definition at line 191 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.dir_u |
Definition at line 189 of file DynLinTimoshenkoModel.m.
Referenced by exportGeometry().
| models.beam.DynLinTimoshenkoModel.Elements |
Cell array of all model structure elements.
SetAccess = Private, GetAccess = Public Definition at line 123 of file DynLinTimoshenkoModel.m.
Referenced by exportGeometry().
| models.beam.DynLinTimoshenkoModel.f_neum |
Vector for neumann boundary conditions.
SetAccess = Private, GetAccess = Public Definition at line 178 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.FH_raw |
Definition at line 276 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.free |
The indices in the global state space vector of all points including dirichlet points (dim=7: 3location, 3velocity & heat)
SetAccess = Private, GetAccess = Public Definition at line 194 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.KR_factor_global = 1 |
Definition at line 282 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.KR_raw |
Definition at line 273 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.Loads |
Definition at line 156 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.Materials |
Definition at line 159 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.maxTemp = 0 |
Maximum temperature for plotting.
SetAccess = Private, GetAccess = Public Definition at line 235 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.minTemp = 0 |
Maximum temperature for plotting.
SetAccess = Private, GetAccess = Public Definition at line 247 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.NonlinearModel = false |
Flag that indicates if the nonlinear model is used.
Default: false
SetAccess = Private, GetAccess = Public Definition at line 140 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.NumColors = 128 |
Number of colors for plotting.
Default: 128
SetObservable set to true. Definition at line 83 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.PlotFactor = 20 |
Plot enhancement factor.
Default: 1
SetObservable set to true. Definition at line 53 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.Points |
3D coordinates of the beam end points
SetAccess = Private, GetAccess = Public Definition at line 110 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel(), and exportGeometry().
| models.beam.DynLinTimoshenkoModel.RO_factor_global = 1 |
Definition at line 279 of file DynLinTimoshenkoModel.m.
| models.beam.DynLinTimoshenkoModel.RO_raw |
Definition at line 270 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.Supports |
Definition at line 153 of file DynLinTimoshenkoModel.m.
Referenced by DynLinTimoshenkoModel().
| models.beam.DynLinTimoshenkoModel.u_dir |
Extracted Dirichlet values full u vector (using dir_u)
SetAccess = Private, GetAccess = Public Definition at line 206 of file DynLinTimoshenkoModel.m.
Referenced by exportGeometry().
|
static |
No heat modeling at the current stage.
Default: false
Definition at line 42 of file DynLinTimoshenkoModel.m.
1.8.6