Dynamics of Rigid Bodies
Objectives
The students that have successfully completed this curricular unit have demonstrated ability to:
-Understand the fundamental concepts and principles that form the basis of Kinematics and Dynamics of particles and rigid bodies;
-Apply the fundamental concepts and principles to analyze the kinematics of simple mechanisms, consisting of a limited number of rigid bodies;
-Apply the fundamental concepts and principles to analyze the dynamics of simple mechanisms, consisting of a limited number of rigid bodies;
-Understand and analyse the vibrations of undamped and damped rigid bodies and structures with one-degree-of-freedom.
General characterization
Code
10432
Credits
6.0
Responsible teacher
Corneliu Cismasiu, Eduardo Soares Ribeiro Gomes Cavaco
Hours
Weekly - 4
Total - 91
Teaching language
Português
Prerequisites
The students should have the course of Statics completed. It is strongly recommended to those without this condition to unsubscribe.
Bibliography
[1] F. P. Beer and E. R. Johnston Jr.
Vectorial mecânics for engineers: Statics.
Editora McGraw-Hill de Portugal, 7ª Edição, 2006.
[2] F. P. Beer and E. R. Johnston Jr.
Vectorial mecânics for engineers: Dynamics.
Editora McGraw-Hill de Portugal, 6ª Edição, 1998.
Teaching method
All matters of discipline are covered in problem-solving sessions.
The exhibition and explanation of various concepts, principles and methods is exemplified with the resolution of some illustrative problems.
A discussion of the problems posed is promoted and students are encouraged to solve some problems individually.
Evaluation method
Evaluation method (2022-2023)
Frequency:
The students are required to attend 2/3 of the classes and complete the exercises available on Moodle, achieving a minimum score of 9.5 points. The exercises related to each of the subjects taught will be made available until the dates of the tests in which those subjects are evaluated.
Evaluation during Normal Period (Continuous Evaluation):
The continuous evaluation of this Curricular Unit will be carried out through:
Summative Assessment (AS) - average classification of the exercises to be carried out in Moodle
Test 1 (T1) Static Analysis using PTV, Kinematics and Dynamics
Test 2 (T2) Mechanical Energy and Vibrations
The final classification in Normal Period is thus obtained through the following expression:
Final Classification = max (0.10 AS + 0.90 (0.60 T1 + 0.40 T2); 0.60 T1 + 0.40 T2)
Approval in this UC results in obtaining a Final Classification equal to or greater than 9.5 / 20.
Evaluation in Suplementary Period:
There will also be an Appeal Exam (ER), lasting 3 hours, for students (with Frequency) who have not passed the continuous assessment, or who wish to improve their classification (registration required).
The final classification of the students who participate in the Appeal Exam is obtained through the following expression:
Final Classification= max (0.10AS + 0.90ER; ER)
In case of improvement attempt, this grade obtained according to the above formula will be compared with the grade obtained in Normal Period and the best of the two will count.
Note Defense:
Students who obtain a final grade greater than or equal to 17 must take an oral test to confirm the grade. In this case, the student''''s classification will be the classification of the oral test. If they choose not to take the oral test, they will be assigned a classification of 17 points.
Fraud:
When taking any test, Students must also take into account the provisions of paragraph 3 of article 10 of the FCT NOVA Assessment Regulation: “When fraud or plagiarism is proven, in any of the assessment elements of a UC, the students directly involved immediately fail the passing in the course, (…).”
Subject matter
1. Principle of Virtual Work; Calculation of external and internal reactions of an isostatic structure; Calculation of the internal forces of an isostatic structure.
2. Kinematics of Rigid Bodies: Translation; Rotation around a fixed axis; General plane movement.
3. Dynamics of Rigid Bodies: Equations of motion.
4. Principles derived from mechanical energy; Principle of stationarity of potential energy; Principle of conservation of mechanical energy.
5. Mechanical vibrations: Undamped vibrations; Damped vibrations.