Multibody and Non-Linear Dynamics

Uitgebreide vaknaam	Multibody and Non-Linear Dynamics
Leerdoelen	After succesful completion of the course, the student is able to: Describe the kinematics and dynamics of an arbitrary multibody system Derive equations of motion for complex 3D MBS composed of rigid bodies with constraints Simulate the motion by means of numerical integration Visualize target quantities describing the motion of the MBS Distinguish the types of bifurcations for one- and multi-dimensional dynamical systems Analyze the phase plane dynamics of nonlinear dynamical systems
Omschrijving	The course aims to form a fundamental background in dynamics which is indispensable for analyzing dynamic problems in mechanics, engineering, and physics. The first part of the course provides theoretical knowledge on how to describe and analyze the dynamics of a system of rigid bodies and helps to develop mechanical intuition and master practical know-how in numerical modeling. The emphasis is placed on implementing theoretical concepts in concrete applications and disseminating results in oral and written forms. The learning objectives prepare the students to: Model the kinematics and dynamics of a multibody mechanism; Formulate a mathematical description of a general motion of the mechanism in terms of descriptive variables and systems of equations; Implement this description in a graphical application for visualizing the desired motion of a mechanism. In contrast to traditional courses in mechanics, this course implies the active use of computer tools. The assessment relies on a group project when the students are challenged to model the motion of a real mechanical system. The second part is about the dynamics of 1D and 2D dynamical systems. The key idea is to learn how the mathematical apparatus can be used to understand the nonlinear world around us. The theoretical treatment is rather informal with an emphasis on analytical methods and geometric intuition. The theory is presented systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, and culminated with limit cycles and their bifurcations. The learning objectives prepare the students to: Describe the dynamics of mechanical and other nonlinear systems; Identify important dynamic parameters governing the system response; Analyze stability of the systems with one-, two- and more dimensions. Special attention is paid to applications, including mechanical vibrations, lasers, and superconducting circuits.
Uren per week
Onderwijsvorm	Bijeenkomst (S), Hoorcollege (LC), Opdracht (ASM), Practisch werk (PRC), Werkcollege (T)
Toetsvorm	Practisch werk (PR), Presentatie (P), Schriftelijk tentamen (WE), Verslag (R) (45% WE, 30% R, 15% P, 10% PRC.)
Vaksoort	master
Coördinator	dr. A.O. Krushynska
Docent(en)	dr. A.O. Krushynska
Entreevoorwaarden	The course unit assumes prior basic knowledge of linear algebra, calculus, and introductory physics acquired from bachelor courses.
Opmerkingen	This course was previously registered year with course code WMME19013
Opgenomen in	Opleiding Jaar Periode Type MSc Applied Physics  ( Keuzevakken in Mechanics of Materials) - semester I a keuze: MOM MSc Mechanical Engineering: Advanced Instrumentation  (Electives ) 1 semester I a keuze MSc Mechanical Engineering: Smart Factories  (Electives for the specialisation Materials for Mechanical Engineering) 1 semester I a keuze MSc Mechanical Engineering: Smart Factories  (Electives for the specialisation Robotics, Mechatronics & Smart Systems) 1 semester I a keuze MSc Mechanical Engineering: Smart and Green Energy Systems  (Electives) 1 semester I a option group B