Universidad Pública de Navarra - Nafarroako Univertsitate Publikoa
Public University of Navarre
| Course code: 252402 | Subject title: MECHANICS | ||||
| Credits: 6 | Type of subject: Mandatory | Year: 2 | Period: 2º S | ||
| Department: Ingeniería | |||||
| Lecturers: | |||||
| IRIARTE GOÑI, XABIER (Resp) [Mentoring ] | VARGAS SILVA, GUSTAVO ADOLFO [Mentoring ] | ||||
Contents
The Agenda explains clearly contents of this subject. Classroom and laboratory practices develop the theoretical concepts applying them in problem solving and computer analyses.
Mathematical aspects:
¿Euclideal space¿. Vector concepts: addition of vectors, scalar product, module, orthonormal bases, components and projections. Vector derivation. Relationship between vector derivations in different orientations. Angular velocity. Orientations diagram. Elementary rotation.
3-tupla: Base change. Vector derivation. Angular velocity and change base matrix.
Kinematics
Position, Velocity and Acceleration vectors. Reference concept. Movement composition
Movement composition in rigid body.
Measurement. Parameters, Coordinates, Velocities and Accelerations Generalized. Geometric equation. Motion equations. Relations among accelerations. Holonomíc, Degrees of freedom and Independent coordinates.
Dynamics.
Dynamics of particles: Second Newton´s law and D¿ Alembert principle. Forces. Third Newton´s law. Kinematics restrictions and internal forces.
Dynamics of rigid bodies. Vectorial theorema. Characterization of an inertial forces system. Kinematics restrictions and internal forces system. Characterization of Forces systems. Center of gravity and inertia tensor, properties.
General proficiencies
- G1: Efficient oral and written communication skills.
- G2: Knowledge of the scientific and technological background necessary for the learning of new methods and theories and for a proper adaptation to novel situations.
- G3: Problem solving proficiency with personal initiative, decision making, creative and critical thinking. Capacity to elaborate and communicate knowledge, abilities and skills.
Specific proficiencies
- E-1 Theric knoledge of the fundamental basis in kinematics and dynamics (vectorial) in machines and mechanisms
- E-2 Apply knowledge to solve kinematics and dynamics problems in machines and mechanisms.
- E-3 Use the mentioned knowledges to solve kinematics problems and dynamics problems in machines and mechanisms with computer. Kinematic simulation, direct dynamics, inverse dynamics and equilibrium.
- E-4 Develop criteria to understand and validate the results.
Learning outcomes
As they apear in the "Boletin Oficial de Navarra", not translated therefore:
R1 - Plantear sistemas y realizar proyectos sobre instalaciones mecánicas, estructuras y sistemas de fabricación.
R2 - Adquirir conocimiento en materias mecánicas, estructuras, sistemas de fabricación, y materiales que le capacite para el aprendizaje de nuevos métodos y teorías, y le dote de
versatilidad para adaptarse a nuevas situaciones.
R3 - Expresar y comunicar ideas y sistemas relacionados con elementos mecánicos de máquinas, solicitaciones en estructuras y piezas, sistemas de fabricación, y materiales.
R4 - Entender y elaborar documentación técnica profesional, en el contexto de las actividades relacionadas con elementos mecánicos de máquinas, solicitaciones en estructuras y
piezas, sistemas de fabricación, y materiales.
R5 - Dominar los cálculos de elementos mecánicos de máquinas, y solicitaciones en estructuras y piezas.
R6 - Interpretar los resultados obtenidos.
Methodology
| Methodology- Formative activity | Attendance (h) | Self study (h) |
| A-1 Lessons in classroom (group of 60) | 40 | 45 |
| A-2 Practise in classroom (group of 30) | 8 | 15 |
| A-3 Laboratory (group of 30) | 8 | 15 |
| A-4 Preparing and writing the laboratory report. | 7 | |
| A-5 Exams, tests, tutoring. | 8 | |
| A-6 Individual tutoring | 4 | |
| Total | 68 | 82 |
Evaluation
| Learning outcome |
Assessment activity |
Weight (%) | It allows test resit |
Minimum required grade |
|---|---|---|---|---|
| R1, R2, R3 | Written exam on Kinematics | 35 | Yes | No |
| R1, R2, R3 | Written exam on Dynamics | 45 | Yes | 5 |
| R1, R2, R3 | Individual reports on the practical sessions | 20 | No | No |
In order to pass the subject, the student has to:
- deliver at least the 60% of the individual reports on the practical sessions before the due time.
- pass the written exam on Dynamic
- have a mean mark of 5 out of 10 taking into account the written exams and the reports of the practical sessions.
If any of these conditions is not satisfied, the student must do the Recovery exam. In order to pass the subject in these conditions the student has to:
- deliver at least the 60% of the individual reports on the practical sessions before the due time.
- pass the written Recovery exam
- have a mean mark of 5 out of 10 taking into account the written Recovery exam and the reports of the practical sessions.
The student can use the Recovery exam in order to improve the obtained mark
The student will only be evaluated as NP if no exam and no practical session report was done.
Agenda
- Mathematical Aspects
- Vector concept: Linear combinations of vectors, scalar product, vector product, norm, orthonormal bases, components and projections. Tensors.
- Vector derivation. Relation between vector derivatives in different orientations. Angular velocity. Orientation diagram. Simple rotation.
- 3-tuplas: Base change. Vector derivation. Angular velocity and base change matrix. 3x3 matrixes.
- Kinematics.
- Position, Velocity and acceleration vectos. Reference Frame concept.
- Movement composition.
- Movement composition in rigid solid.
- Parametrization: Parameters, Generalized Coordinates, Velocities and Accelerations. Constraint Equationsat for coordinates , velocities and accelerations. Holonomicity, number of degrees of freedom and of independent coordinates. Rheonomicity.
- Dynamics
- Dynamics of particles: Second Newton´s law. Force, mass and Inertial Reference Frame. Third Newton´s law. Kinematic constrints and constraint forces.
- Dynamics of rigid bodies. Vectorial theorems. Characterization of systems of inertia forces, constraint / joint forces, and constitutive forces.
- Inertial properties of rigid bodies: Center of Inertia / First Moments of Inertia, and Inertia Tensor / Second Moments of Inertia. Properties.
Bibliography
Access the bibliography that your professor has requested from the Library.
BASIC BIBLIOGRAPHY:
- Mecánica de La Partícula y del Sólido Rígido, J. Agulló, Publicaciones OK Punt, I.S.B.N. 84-920850-5-3, 2000.
- Analytical Dynamics. Haim Baruh. McGraw-Hill, I.S.B.N. 0-07-365977-0, 1999.
- Teacher materials: slides, exercises, program handbooks
- Rigid body kinematics. Joaquim A. Battle, Cambridge University Press, 2020
- Rigid body dynamics. Joaquim A. Battle, Cambridge University Press, 2022
SUPPLEMENTARY BIBLIOGRAPHY: