Checking date: 16/07/2020

Course: 2020/2021

Mechanical vibrations fundamentals
Study: Bachelor in Mechanical Engineering (221)

Coordinating teacher: CALVO RAMOS, JOSE ANTONIO

Department assigned to the subject: Department of Mechanical Engineering

Type: Compulsory
ECTS Credits: 3.0 ECTS


Students are expected to have completed
Functions Derivation Basic derivation theorems. Multivariable functions Introduction to differential equations. Particle and Rigid Bodies Kinematics. Particle and Rigid Bodies Dynamics.
Competences and skills that will be acquired and learning results. Further information on this link
By the end of this subject, students will be able to have: 1. knowledge and understanding of linear differential equations which are applicable in mechanical vibration problems 2. knowledge and understanding of key aspects of mechanical vibrations fundamentals; 3. the ability to apply their knowledge and understanding to identify, formulate and solve problems of mechanical vibrations using established methods; 4. the ability to combine theory and practice to solve problems of mechanical vibrations; 5. an understanding of applicable techniques and methods in mechanical vibrations, and of their limitations;
Description of contents: programme
1.- Introduction to differential calculus 2.- Approach and resolution of systems of linear differential equations. 3.- Numerical methods of solving differential equations 4.- Single DOF systems: 4.1.- Undamped. Free vibrations 4.2.- Damped free vibrations. 4.3.- Forced vibrations. 4.4.- Transitory and permanent response. 4.5.- Resonance Concept. 5.- Two DOF systems: 5.2.- Undamped free vibrations. 5.3.- Damped free vibrations. 5.4.- Forced vibrations. 6.- Generalization to n DOF systems.
Learning activities and methodology
Master class Classroom exercises Laboratories exercices Personal work. Team Work
Assessment System
  • % end-of-term-examination 40
  • % of continuous assessment (assigments, laboratory, practicals...) 60
Basic Bibliography
  • R. Kent Nagle; E.B Saff Arthur and David Snider. Fundamentals of differential equations. Pearson. 2012
  • Alonso de Mena, Ana Isabel; Álvarez López, Jorge. ; Calzada Delgado, Juan Antonio.. Ecuaciones diferenciales ordinarias. Delta Publicaciones . 2010
  • Felipe Lafita Babio, Hilario Mata Corte¿s. Vibraciones meca¿nicas en ingenieri¿a. INTA. 1964
  • Jose¿ Carlos Bellido Guerrero Alberto Donoso Bello¿n Sebastia¿n Lajara Lo¿pez. Ecuaciones diferenciales ordinarias. Paraninfo . 2014
  • SS Rao and Fook Yap Fah. Mechanical vibrations. Singapore : Pearson Education South Asia. 2011
  • William T. Thomson. Teoría de Vibraciones. Prentice / Hall. 1981

The course syllabus and the academic weekly planning may change due academic events or other reasons.