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Mechanical

Electrical

Fluid

Electro-Chemical

Thermal

Vehicle Dynamics

Engine

Controls

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A-causal object-oriented modelling language

Inherently multiphysical

Maintained by the Modelica Association

There are both free and commercial libraries for a wide

range of topics

Modelica language is non-proprietary

Several commercial Modelica simulation environments

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𝑏𝑘

𝐹

𝐹𝑔 = 𝑚 ⋅ 𝑔

𝐹𝑘 = 𝑘 ∙ 𝑥𝐹𝑏 = 𝑏 ∙ ሶ𝑥𝐹𝑎 = 𝑚 ⋅ ሷ𝑥

𝐹 + 𝐹𝑔 − 𝐹𝑘 − 𝐹𝑏 − 𝐹𝑎 = 0

Topology equation

Component equations

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𝑏𝑘

𝐹𝐹

Mass External Force

DamperSpring

Wall

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∑1

𝑠

1

𝑚

1

𝑠

𝑘

𝑏

𝑥𝑣𝑎𝐹

𝐹𝑘

𝐹𝑏

𝐹𝑎−

−

𝐹𝑔

𝑥 0 = ሶ𝑥 0 = ሷ𝑥 0 = 0

𝑏𝑘

𝐹𝑥(𝑡)𝑔

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𝑏1𝑘1

𝐹𝑥1(𝑡)

𝑥1 0 = ሶ𝑥1 0 = ሷ𝑥1 0 = 0

𝑏2𝑘2

𝑥2(𝑡)

𝑔

∑1

𝑠

1

𝑚2

1

𝑠

𝑘2

𝑏2

𝑥2𝑣2𝑎2

𝐹𝑘2

𝐹𝑏2

𝐹𝑎2−

−

∑1

𝑠

1

𝑚1

1

𝑠

𝑘1

𝑏1

𝑣1𝑎1

𝐹𝑘1

𝐹𝑏1

𝐹𝑎1−

−𝐹𝑘2

𝐹𝑏2

∑

∑

𝐹 + 𝐹𝑔1

𝐹𝑔2

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Resistance [W]

Voltage [V]

Current [I]

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Causal A-Causal – Dymola

resistor

resistor

resistor

U

I

U

R

I

R

R

I

U

𝑅 ≔ 𝑈/𝐼

I ≔ 𝑈/𝑅

𝑈 ≔ 𝑅 ∗ 𝐼

resistor

U, I U, I

R

𝑈 = 𝑅 ∗ 𝐼

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14 CATS Project: Develop Cyclist-AEB Testing System

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Automotive OEM

ADAS Supplier

Define

Requirements

System

Architecture

Traceability

for ISO26262

Select

Solutions

Disciplines

E/E & Software

Electrical

Mechanical

Integration &

Verification

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Define

Requirements

Automotive OEM

ADAS Supplier

Define

Requirements

System

Architecture

Traceability

for ISO26262

Select

Solutions

Disciplines

E/E & Software

Electrical

Mechanical

Integration &

Verification

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Automotive OEM

ADAS Supplier

Define

RequirementsTraceability

for ISO26262

Integration &

Verification

Disciplines

E/E & Software

Electrical

Mechanical

System

Architecture

Select

Solutions

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Automotive OEM

ADAS Supplier

Define

RequirementsTraceability

for ISO26262

Integration &

Verification

Disciplines

E/E & Software

Electrical

Mechanical

System

Architecture

Select

Solutions

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Automotive OEM

ADAS Supplier

Define

RequirementsTraceability

for ISO26262

Integration &

Verification

Disciplines

E/E & Software

Electrical

Mechanical

System

Architecture

Select

Solutions

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Automotive OEM

ADAS Supplier

Define

RequirementsTraceability

for ISO26262

Integration &

Verification

Disciplines

E/E & Software

Electrical

Mechanical

System

Architecture

Select

Solutions

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14

“Realistic Simulation” is a simulation that is physically realistic and “life like” in every way

Courtesy Mechanical Design and Analysis Corporation, 2010 SCC

Statistical distribution of impact damage

Courtesy of University of Zagreb, 2010 SCC

Courtesy of BMW Group, 2010 SCC

“Predictive Crashworthiness Simulation in a Virtual Design Process without Hardware Testing”, Jurgen Lescheticky, Hariaokto Hooputra and Doris Ruckdeschel, BMW Group, SIMULIA Customer Conference, May 2010

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Demonstration Scenario

Automotive OEM

ADAS Supplier

define

RequirementsTraceability

for ISO26262

Integration &

Verification

Disciplines

E/E & Software

Electrical

Mechanical

System

Architecture

Select

Solutions

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14 R&D

Customer Testimony