### Technology

## Subject: MULTIBODY DYNAMICS (A.A. 2024/2025)

### master degree course in AUTOMOTIVE ENGINEERING

Course year | 2 |
---|---|

CFU | 9 |

Teaching units |
Unit Multibody Dynamics
To be chosen by the student (lesson)
- TAF: Optional subjects SSD: ING-IND/13 CFU: 9
Francesco PELLICANO, Antonio ZIPPO, Fittizio DOCENTE |

Exam type | written |

Evaluation | final vote |

Teaching language | Italiano |

### Teachers

*Francesco PELLICANO*

*Antonio ZIPPO*

### Overview

The Multibody Dynamics course is part of the Industry 4.0 curriculum of the Master's degree in Mechanical Engineering.

The aim is to provide students with theoretical and applicative knowledge for the development of computational models of mechanical systems.

The course, both theoretical and computer-based, aims to provide students with basic and advanced knowledge for the development of computational models of the kinematics and dynamics of mechanical systems.

### Admission requirements

In order to successfully tackle Multibody Dynamics lessons, knowledge of the following topics are needed

Calculus

Differential calculus

Integral calculation

Differential equations

Physics / Classical Mechanics / Rational Mechanics

Mechanismsand Machine Theory

Numerical analysis

The knowledge of the following topics is extremely important

Dynamics of a physical point

Dynamics of systems of points

Kinematics of the rigid body

Dynamics of the rigid body

### Course contents

Introduction to Multibody problems

Recalls of kinematics of the rigid body and of planar systems

Multibody approach for the kinematics of planar systems

3CFU

Recalls of dynamics of the rigid body

Multibody approach to the dynamics of planar systems. Lagrangian formulation. Lagrange multipliers.

Examples of application of the multibody approach

Numerical methods.

Outlines of three-dimensional systems

3CFU

Use of a Multibody commercial software

Development of a kinematic and dynamic model using Multibody software

Development of a project

3CFU

### Teaching methods

Theoretical lessons. Lectures in the computer lab using Multibody software

### Assessment methods

Projects development during the teaching period. Groups of students will develop some projects. Each group will receive a problem to investigate. The problem is not a simple exercise. It is a way to learn the topic deeply and to prove that is has been well understood. The group will produce a Report and will present the work to the class (Powerpoint), 15minutes Rubrics. Clarity: Grammar correctness Sentences are clear, ideas are well explained Objectives are clearly identified Initial dataset is complete Conclusions are supported by data Theory: The explanation is correct No plagiarism (cut and paste) The theoretical part is strictly related to the problem Implementation: Is the code well structured and commented? Is the model validated? Is the numerical implementation described in the report? Graphical quality: Clarity and quality of drawings Quality of figures, e.g. 2D and 3D plots (captions, labels, legend) Speaker: Is the speaker able to create interest? Is the speaker able to answer questions (with the help of the group)? Beyond: Deepening of one or more aspects of the project E.g.: discover something new; enlighten limitations of the theory or the solution We appreciate imagination and creativity • Evaluation of the projects. Weight 50%. Marks will be published before the first exam after the teaching period. • Theoretical part (15-40 min). Weight 50%. Open-ended questions.

### Learning outcomes

At the end of the course the student will be able to deal with the simulation of complex mechanical systems using Multibody software, being aware of the potential and limitations of the techniques used.

### Readings

A.A. Shabana, Computational Dynamics, Wiley