PORTALE DELLA DIDATTICA

### Numerical Modelling and simulation

05MRPLO

A.A. 2023/24

Course Language

Inglese

Course degree

Course structure
Teaching Hours
Teachers
Teacher Status SSD h.Les h.Ex h.Lab h.Tut Years teaching
Teaching assistant
Context
SSD CFU Activities Area context
2022/23
The aim of the course is to provide the basis for the comprehension of the methods and procedures the finite element method and the multi body analysis are based on. The basic knowledge acquired during the course will give the student the possibility to explore the possible applications of the methods to solve engineering problems with particular attention to the structural field.
Automotive engineer has to own strong transversal knowledge covering the different area of a vehicle development. To this aim, some fundamental skills have to be present in the background of an automotive engineer. Nowadays, the numerical modelling techniques are widely used in many engineering fields, consequently, they are considered a fundamental instrument for an engineer. In this frame, the aim of the course is to provide the basis for the comprehension of the methods and procedures the finite element method and the multi body analysis are based on. The course will give to the student the basic knowledge for the applications of these methods to engineering problems with particular attention to the structural field. Alongside the theoretical insights, space is dedicated to the practical use of the simulation techniques. In this way, the student can concretize the theoretical concepts. Moreover, the practical activities are aimed at stimulating the student’s critical thinking and autonomy of judgment increasing the development of problem solving attitude.
Students attending the course will learn about the wide capabilities of the numerical methods in the virtual simulation of the behaviour of structures and automotive systems. On successfully completing this course unit, students will be able to solve structural (static and dynamic) problems of simple complexity by using commercial codes widely present in industries. For example, they will be able to: - prepare the numerical models of simple structures and multi body systems - set up the boundary conditions for static and quasi-static analyses - critically analyse the results of a virtual simulation and verify their reliability
Students attending the course will learn about the wide capabilities of the numerical methods in the virtual simulation of the behaviour of structures and automotive systems. On successfully completing this course unit, student will be able to face structural problems of simple complexity applying the matrix calculus, the Finite Element Method (FEM) and the Multi Body (MBD) approach and by using commercial codes widely used in industries. Consequently, the student will be able to develop a numerical model of a simple real structural problem (with FEM and/or MBD). In particular for part B of the coursw they will be able to: - prepare the numerical models of simple multi body systems - critically analyse the results of the simulation and verify their reliability
Students attending the course must have the basic knowledge of geometry and numerical calculation. Moreover, they should be able to: - evaluate the static equilibrium of frames with prescribed boundary conditions - evaluate the stress and strain state of loaded beams within frameworks - analyse kinematics and dynamics of a single rigid body
The student attending the course must have the basic knowledge of geometry and numerical calculation. Moreover, they should be able to: - evaluate the static equilibrium of frames with prescribed boundary conditions - evaluate the stress and strain state of loaded beams within frameworks - analyse kinematics and dynamics of a single rigid body
1 - Multi-body systems Reference systems of rigid bodies. Position and orientation of reference systems. Change of coordinates, translation, rotation: matrix operators. Examples. 2 - Open chains multi-body: Denavit-Hartenberg’s convention, recursive numerical methods for the solution of the kinematic and dynamic problem. 3 - Closed chains multi-body: kinematic and dynamic problems. 4 Exercises in classroom.
Part B: 1 - Multi-body systems Reference systems of rigid bodies. Position and orientation of reference systems. Change of coordinates, translation, rotation: matrix operators. Examples (about 10 hours). 2 - Open chains multi-body: Denavit-Hartenberg’s convention, recursive numerical methods for the solution of the kinematic and dynamic problem (about 8 hours). 3 - Closed chains multi-body: kinematic and dynamic problems (about 4 hours). 4 Exercises in classroom (about 6 hours)
The course is organized in frontal lectures, classroom practices and laboratory practices. The frontal lectures concern the theory part of the course syllabus. The classroom practices concern the execution of exercises on the matrix calculus. These exercises are preparatory for a part of the exam. The laboratory practices concern the dynamic solution of multi-body systems by using both Matlab and a commercial software devoted to the MBD simulation. All the parts in which the course is structured can be followed without significant differences in presence or remotely.
The course is organized in frontal lectures (22h), classroom practices (6h) and laboratory practices (12h). The frontal lectures concern the theory part of the course syllabus. The classroom practices concern the execution of exercises on the matrix calculus. These exercises are preparatory for a part of the exam.
-Ahmed A. Shabana. Dynamics of multibody systems. Cambridge, 3th edition. -Mike Blundell, Damian Harty. The multibody systems approach to vehicle design. Elsevier. -F. Colombo, A. Trivella. Exercises of multi-body kinematics and dynamic. Clut editrice. Torino.
-Ahmed A. Shabana. Dynamics of multibody systems. Cambridge, 3th edition. -Mike Blundell, Damian Harty. The multibody systems approach to vehicle design. Elsevier. -F. Colombo, A. Trivella. Exercises of multi-body kinematics and dynamic. Clut editrice. Torino. Notes prepared by the teaching staff about theory, classroom practices and laboratory practices will be available for the enrolled students on the official webpage of the course.
Modalità di esame: Prova scritta (in aula); Prova orale facoltativa; Elaborato progettuale individuale;
Exam: Written test; Optional oral exam; Individual project;