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

Rodrigo de Moura Gonçalves, Zuzana Dimitrovova

Hours

Weekly - 9

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 (2024-2025)

 

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.

Programs

Programs where the course is taught: