equation

Mathematica: The output form of Mathematica follows internal rules that may not always correspond exactly to how a human might typeset it.

SysML4Mathematica: Example: Block Definition Diagram overview of ConstraintBlocks, their parameters, and ConstraintBlock usages representing lower-level Webel Psy library Psychrometrics functions and CoolProp wrapper usages

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Block Definition Diagram (BDD)

SysML4Mathematica: Example 11 [B]: Total (qDotTot), sensible (qDotSen), and latent cooling (qDotLat) required for cooling air: Using Webel MPsy objects and SysML Activity Diagrams

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML4Mathematica: Example 11 [A] Total (qDotTot), sensible (qDotSen), and latent cooling (qDotLat) required for cooling air: Using CoolProp wrappers and SysML Parametric Diagrams

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Parametric Diagram

SysML4Mathematica: Example 10: Condition and dehumidify air by chilling and condensing some moisture: Process table

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML Parametric Diagram

SysML4Mathematica: Example 09: Moisture added to air: Amount (mass)

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML Parametric Diagram

SysML4Mathematica: Example 08a: Humidification: Drying lumber with air: required volumetric air flow rate

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML Parametric Diagram

SysML4Mathematica: Example 07: Sensible cooling: 'qDotSen' (-ve): energy transfer rate FROM humid air

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML Parametric Diagram

SysML4Mathematica: Example 06: Sensible heating: 'qSen' per mass (+ve): energy transfer TO humid air

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML Parametric Diagram

SysML4Mathematica: Example 05: Sensible heating: 'qSen' (+ve): energy transfer TO humid air

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Activity Diagram

SysML Parametric Diagram

SysML4Mathematica: Psychrometrics (humid air physics) Air Conditioning scenarios in graphical Systems Modeling Language (SysMLv1.x) and Mathematica

Gallery

Tutorial

TRAIL: Air Conditioning Psychrometrics (vs CED Engineering course): Example results (only) in Mathematica and SysML using the Webel Psy package and MPsy class

Section

Slide kind

SysML Package Diagram

The parametric diagram is a new SysML diagram type that describes the constraints among the properties associated with blocks. This diagram is used to integrate behavior and structure models with engineering analysis models such as performance, ...

Source

OMG Systems Modeling Language (SysML) 1.6

MagicDraw/Cameo support for the SysML Parametric Diagram and ConstraintBlocks for equations and mathematics is excellent, and it integrates with powerful maths engines such as Mathematica. It CAN be used on industrial strength real-world projects.

The SysML Parametric Diagram and the ContraintBlock technology for equations and mathematics is clever, powerful, useful, and integrates well with the other model-based engineering aspects of SysML.

MagicDraw/Cameo can parse the 'text' field of some mathematical Requirements and populate the constraint (and also then the constraint parameters) of a ConstraintBlock that refines a Requirement (your mileage varies).

The constraints and parameters in Figure D.33 are detailed in Figure D.34 in Block Definition Diagram format. Note the use of valueTypes [ValueTypes] originally defined in Figure D.2.

Source

OMG Systems Modeling Language (SysML) 1.6

Figure D.34 - Defining Straight-Line Vehicle Dynamics Mathematical Constraints (Definition of Dynamics)

Gallery

Tutorial

TRAIL: The SysML-1.6 Hybrid SUV sample and specification diagrams in MagicDraw/Cameo (with annotations) [UNDERGOING UPDATE to SysML1.7]

Section

Section: SysML-1.6: HSUV sample

Slide kind

SysML Block Definition Diagram (BDD)

Figure D.26 - Defining Analyses for Hybrid SUV Engineering Development (Block Definition Diagram)

Gallery

Tutorial

TRAIL: The SysML-1.6 Hybrid SUV sample and specification diagrams in MagicDraw/Cameo (with annotations) [UNDERGOING UPDATE to SysML1.7]

Section

Section: SysML-1.6: HSUV sample

Slide kind

SysML Block Definition Diagram (BDD)

Webel: SysML: You don't need to call every ConstraintBlock a 'SomethingEquation'

Figure D.26 defines the various model elements that will be used to conduct analysis in this example. It depicts each of the constraint blocks/equations that will be used for the analysis, and key relationships between them.

Source

OMG Systems Modeling Language (SysML) 1.6

The context for the usages of constraint blocks shall also be specified in a parametric diagram to maintain the proper namespace for the nested properties.

Source

OMG Systems Modeling Language (SysML) 1.6

This allows a value property (such as an engine displacement) that may be deeply nested within a containing hierarchy (such as vehicle, power system, engine) to be referenced at the outer containing level (such as vehicle-level equations).

Source

OMG Systems Modeling Language (SysML) 1.6

A pathname dot notation can be used to refer to nested properties within a block hierarchy.

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OMG Systems Modeling Language (SysML) 1.6

The constrained properties, such as mass or response time, typically have simple value types that may also carry units, quantity kinds, or probability distributions.

Source

OMG Systems Modeling Language (SysML) 1.6

The usage of a constraint binds the parameters of the constraint, such as F, m, and a, to specific properties of a block, such as a mass, that provide values for the parameters.

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OMG Systems Modeling Language (SysML) 1.6

Parametric diagrams include usages of constraint blocks to constrain the properties of another block.

Source

OMG Systems Modeling Language (SysML) 1.6

The constraints can be nested to enable a constraint to be defined in terms of more basic constraints such as primitive mathematical operators.

Source

OMG Systems Modeling Language (SysML) 1.6

Reusable constraint definitions may be specified on block definition diagrams and packaged into general-purpose or domain-specific model libraries. Such constraints can be arbitrarily complex mathematical or logical expressions.

Source

OMG Systems Modeling Language (SysML) 1.6

Constraint blocks define generic forms of constraints that can be used in multiple contexts. For example, a definition for Newton’s Laws may be used to specify these constraints in many different contexts.

Source

OMG Systems Modeling Language (SysML) 1.6

A constraint block includes the constraint, such as {F=m*a}, and the parameters of the constraint such as F, m, and a.

Source

OMG Systems Modeling Language (SysML) 1.6

Such constraints can also be used to identify critical performance parameters and their relationships to other parameters, which can be tracked throughout the system life cycle.

Source

OMG Systems Modeling Language (SysML) 1.6

Constraint blocks can be used to specify a network of constraints that represent mathematical expressions such as {F=m*a} and {a=dv/dt}, which constrain the physical properties of a system.

Source

OMG Systems Modeling Language (SysML) 1.6

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