| Study programme competencies |
| Code | Study programme competences |
| A1 | Capacidade para a resolución dos problemas matemáticos que poidan formularse na enxeñaría. Aptitude para aplicar os coñecementos sobre: álxebra lineal; xeometría; xeometría diferencial; cálculo diferencial e integral; ecuacións diferenciais e en derivadas parciais; métodos numéricos; algorítmica numérica; estatística e optimización. |
| A2 | Comprensión e dominio dos conceptos básicos sobre as leis xerais da mecánica, termodinámica, campos e ondas e electromagnetismo e a súa aplicación para a resolución de problemas propios da enxeñaría. |
| A13 | Coñecemento dos principios de teoría de máquinas e mecanismos. |
| A23 | Coñecementos e capacidades para aplicar os fundamentos da elasticidade e resistencia de materiais ao comportamento de sólidos reais. |
| B2 | Que os estudantes saiban aplicar os seus coñecementos ao seu traballo ou vocación dunha forma profesional e posúan as competencias que adoitan demostrarse por medio da elaboración e defensa de argumentos e a resolución de problemas dentro da súa área de estudo |
| B3 | Que os estudantes teñan a capacidade de reunir e interpretar datos relevantes (normalmente dentro da súa área de estudo) para emitiren xuízos que inclúan unha reflexión sobre temas relevantes de índole social, científica ou ética |
| B5 | Que os estudantes desenvolvan aquelas habilidades de aprendizaxe necesarias para emprenderen estudos posteriores cun alto grao de autonomía |
| B6 | Ser capaz de concibir, deseñar ou poñer en práctica e adoptar un proceso substancial de investigación con rigor científico para resolver calquera problema formulado, así como de comunicar as súas conclusións –e os coñecementos e razóns últimas que as sustentan– a un público tanto especializados como leigo dun xeito claro e sen ambigüidades |
| B7 | Ser capaz de realizar unha análise crítica, avaliación e síntese de ideas novas e complexas |
| B9 | Adquirir unha formación metodolóxica que garanta o desenvolvemento de proxectos de investigación (de carácter cuantitativo e/ou cualitativo) cunha finalidade estratéxica e que contribúan a situarnos na vangarda do coñecemento |
| C1 | Utilizar as ferramentas básicas das tecnoloxías da información e as comunicacións (TIC) necesarias para o exercicio da súa profesión e para a aprendizaxe ao longo da súa vida. |
| C2 | Desenvolverse para o exercicio dunha cidadanía aberta, culta, crítica, comprometida, democrática e solidaria, capaz de analizar a realidade, diagnosticar problemas, formular e implantar solucións baseadas no coñecemento e orientadas ao ben común. |
| C3 | Entender a importancia da cultura emprendedora e coñecer os medios ao alcance das persoas emprendedoras. |
| C4 | Valorar criticamente o coñecemento, a tecnoloxía e a información dispoñible para resolver os problemas cos que deben enfrontarse. |
| C5 | Asumir como profesional e cidadán a importancia da aprendizaxe ao longo da vida. |
| C6 | Valorar a importancia que ten a investigación, a innovación e o desenvolvemento tecnolóxico no avance socioeconómico e cultural da sociedade. |
| Learning aims | |||
| Learning outcomes | Study programme competences | ||
| Handle the principles of vibration theory to analyze dynamic systems: response under free and forced vibration to single degrees of freedom SDOF and multiple degrees of freedom MDOF systems, harmonic load, and general type excitations. | A1 A2 A13 A23 |
B2 B5 B9 |
C1 C3 C5 |
| Knowledge about the standards which govern the design and analysis of elastic solids and structures under dynamic loads. Knowledge and application of the main techniques of mathematical modeling for dynamic analysis. | A1 A2 A13 A23 |
B2 B3 B6 B9 |
C2 C4 C6 |
| Apply properly theoretical concepts not laboratory. Understand and apply some technical computing solution: numerical methods for the analysis of vibrating systems. | A1 |
B3 B6 B9 |
C2 C4 C6 |
| Solve exercises and problems of vibrations in a complete and reasoned way through current tools: use of a commercial finite element program. | A1 A2 A13 A23 |
B3 B6 B7 |
C1 C2 C3 C4 C5 C6 |
| Use a rigorous language in the engineering structural dynamics in order to show and to explain information and results | B2 B3 B5 B6 B7 B9 |
C1 C2 C3 C4 C5 C6 |
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| Contents |
| Topic | Sub-topic |
| Chapter 0. The following topics develop the contents set up in the verification memory. | Dynamic equations. Modelling. Vibration of systems of 1 and N degrees of freedom. Buffer. Vibration of continuous systems |
| Chapter 1. Introduction to structural dynamics:dynamic equations and modeling. | Basic concepts. Classification of vibrations. Modelling systems: stiffness, inertia, and damping elements. Mathematical models of Single Degree Of Freedom (SDOF) systems. Application of Newton's laws. Application of the principle of virtual displacements. Hamilton principle. Application of the Lagrange equations. |
| Chapter 2. Free vibration of SDOF system. Damping. | Free vibration of undamped SDOF systems. Free vibration of viscous damped SDOF systems. Other types of damping. |
| Chapter 3. Response of SDOF to harmonic excitation. Damping. | Response of undamped SDOF to harmonic excitation. Response of viscous damped SDOF to harmonic excitation. Complex frequency response. Vibration isolation. Force Transmissibility. Base motion. Response of SDOF due to unbalance in rotating machines. |
| Chapter 4. Analytical methods of solution. Response of SDOF to a general dynamic excitation | Response of SDOF to special forms of excitation. Ideal step input, rectangular pulse and ramp loadings. Short-duration impulse. Unit impulse response. Classification of methods. Duhamel Integral Method. |
| Chapter 5. Numerical methods of solution. Response of SDOF to a general excitation. | Numerical evaluation of the integral of convolution. Method of linear forces. Step by step methods. The average acceleration method. Methods of Newmark family. |
| Chapter 6. Continuous systems. Mathematical models of Multiple Degrees Of Freedom (MDOF) systems | Continuous systems. Discrete systems: application of Newton's laws, application of the Lagrange equations. Equations of motion. |
| Chapter 7. Free vibration response of MDOF systems | Natural frequencies and modes of vibration of MDOF systems. Free vibration response of MDOF systems. Rigid body modes of vibration. Some properties of the natural frequencies and natural modes. Scaling or normalizing. Orthogonality. Expansion theorem. Free vibration response of MDOF systems. Mode-superposition method. |
| Chapter 8. Forced vibration response of MDOF systems. | Mode-superposition method response of undamped MDOF systems. Truncation. Damped MDOF systems. Orthogonal, modal, classic or proportional damping. Rayleigh damping. Non-proportional damping. |
| Planning | ||||
| Methodologies / tests | Competencies | Ordinary class hours | Student’s personal work hours | Total hours |
| Laboratory practice | A1 A2 A13 A23 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 | 10 | 20 | 30 |
| Seminar | A13 A23 B2 B3 B5 B6 B7 B9 C2 C3 C4 C6 | 8 | 16 | 24 |
| Supervised projects | A1 A2 A13 A23 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 | 14 | 38.5 | 52.5 |
| Guest lecture / keynote speech | A2 A13 A23 B2 B3 B5 B6 B7 B9 C1 C2 C4 C6 | 10 | 30 | 40 |
| Personalized attention | 3.5 | 0 | 3.5 | |
| (*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | ||||
| Methodologies |
| Methodologies | Description |
| Laboratory practice | Methodology that allows the realization of activities of practical character, with computer, such as modelization, analysis and dynamic simulation of mechanical and structural elements. |
| Seminar | Technique of work in group to resolve practical cases, by means of exhibition, discussion, participation and calculation. A calculator is employed |
| Supervised projects | Methodology designed to promote autonomous learning of students, solving a problem that involves the contents of the course and involves specific skills, under teacher supervision. |
| Guest lecture / keynote speech | Oral lecture supplemented with the use of audiovisual means, aiming transmit knowledge and facilitate the learning within the scope of vibration analysis |
| Personalized attention |
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| Assessment | |||
| Methodologies | Competencies | Description | Qualification |
| Laboratory practice | A1 A2 A13 A23 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 | Students must systematically attend practices. The proposed activities have to be done along the practical sessions, in order to be revised and evaluated by the teacher. The practices that aren’t developed during the practical classes, and periodically revised by the teacher will not be considered in the qualification. The evaluation process of the laboratory lessons includes a two hour practice session, where the student solves with the computer the problems proposed by the teacher, individually. |
30 |
| Supervised projects | A1 A2 A13 A23 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 | The projects include the theoretical and practical contents of the course. They are to be done individually. The projects will be developed during the practical sessions along the course and completed at home on the student personal work hours. The tasks will be followed and revised during the practical lessons. If the projects aren’t matured during the practical classes, nor periodically revised by the teacher, will not be considered in the qualification. | 70 |
| Assessment comments | |||
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Students, whose presence throughout the
For the second chance you can present or improve |
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| Sources of information |
| Basic |
Dassault Systèmes Simulia Corp. (2011). Abaqus Analysis User’s Manual. Providence, RI, USA. (1998)
R. R. Craig (1981). Structural Dynamics. John Wiley and Sons, Inc
R. Gutiérrez, E. Bayo, A. Loureiro y L.E. Romera (2009). Teoría de Estructuras III. Servicio de publicaciones de la Universidade da Coruña
S.S. Rao (2012). Vibraciones Mecánicas.Quinta Edición. Pearson Education, México. |
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| Recommendations | ||||||
| Subjects that it is recommended to have taken before | ||||||
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| Subjects that are recommended to be taken simultaneously |
| Subjects that continue the syllabus |
| Other comments | |
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To help achieve a sustained immediate environment and meet the objective of the action number 5: "Teaching and healthy and sustainable environmental and social research" of the "Plan of action Green Campus Ferrol": Documentary work presented in this matter: * Should be requested in virtual format or computer support * Will take place through Moodle, in digital format without having to print them * Should be required on paper: -Not be they used plastic -There will be double-side printing. -Will use recycled paper. -Prevent printing drafts. You should make a sustainable use of resources and the prevention of negative impacts on the natural environment |