# NUMERICAL METHODS IN VIBRATION

 Title ΑΡΙΘΜΗΤΙΚΕΣ ΜΕΘΟΔΟΙ ΣΕ ΤΑΛΑΝΤΩΣΕΙΣ ΜΗΧΑΝΟΛΟΓΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ / NUMERICAL METHODS IN VIBRATION Code 360 Faculty Engineering School Mechanical Engineering Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Sotirios Natsiavas Common Yes Status Active Course ID 20000452

### Programme of Study: UPS of School of Mechanical Engineering

Registered students: 43
OrientationAttendance TypeSemesterYearECTS
EnergyElective Course belonging to the selected specialization (Elective Specialization Course)955
Design and StructuresCompulsory Course belonging to the selected specialization (Compulsory Specialization Course)955

 Academic Year 2019 – 2020 Class Period Winter Faculty Instructors Sotirios Natsiavas 4hrs Weekly Hours 4 Class ID 600149954
Course Type 2016-2020
• Background
• Scientific Area
Course Type 2011-2015
Knowledge Deepening / Consolidation
Mode of Delivery
• Face to face
Digital Course Content
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
Required Courses
• 201 STRENGTH OF MECHANICAL STRUCTURES
• 108 STATICS
• 112 MECHANICS OF MATERIALS
• 116 DYNAMICS
• 124 MECHANICAL VIBRATION AND MACHINE DYNAMICS
• 214 STRUCTURAL DYNAMICS
• 101 CALCULUS I (MATHEMATICS I)
• 106 CALCULUS II (MATHEMATICS II)
• 111 DIFFERENTIAL EQUATIONS (MATHEMATICS III)
• 120 NUMERICAL ANALYSIS
• 131 LINEAR ALGEBRA
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Make decisions
• Work autonomously
• Work in teams
• Work in an international context
• Work in an interdisciplinary team
• Advance free, creative and causative thinking
Course Content (Syllabus)
Analytical Dynamics: generalized coordinates, motion constraints, principle of virtual work, Lagrange’s equations, Hamilton’s principle, Hamilton’s canonical equations. Numerical solution of systems of linear and nonlinear algebraic equations (determination of static response, kinematics of mechanisms, direct determination of periodic steady-state motions). Numerical integration of the equations and equations of motion of mechanical systems and structures (systems of differential equations and differential-algebraic equations). Evaluation of natural frequencies and modes of complex structures. Applications from the area of rigid body dynamics and machine dynamics (mass balancing of reciprocating engines, power flow smoothing – flywheels, application of multibody dynamics software).
Educational Material Types
• Notes
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Laboratory Teaching
• Use of ICT in Communication with Students
Course Organization
Lectures481.6