Dynamics of Mechanical Systems

Objectives

The objective of this course is to convey the fundamental concepts of dynamics of multiple body systems, thus allowing the development and analysis of mechanical systems used in different industrial applications. from mechanisms in general to biomechanics, robotics and vehicles.

The aim is thus to instruct students about the potentialities and limitations of numerical models constructed from the programming of equations of motion with Cartesian or other formulations, either by the use of commercial codes, promoting their rational and appropriate use with regard to representation of real systems and their components.

General characterization

Code

12048

Credits

6.0

Responsible teacher

Available soon

Hours

Weekly - Available soon

Total - 80

Teaching language

Português

Prerequisites

Available soon

Bibliography

1.   Nikravesh, P. E. (2018). Planar Multibody Dynamics: Formulation, Programming with MATLAB®, and Applications. CRC Press.

2. Computer Aided Analysis of Mechanical Systems: Parviz Nikravesh, 1988 Prentice – Hall Publishers. Englewod Cliffs, New Jersey.

Teaching method

Available soon

Evaluation method

Available soon

Subject matter

1. Introduction: Concepts of mechanism, kinematic joint, rigid body and flexible body. Two-dimensional and three-dimensional analysis.

2. Kinematic analysis: Relative coordinates. Equations of constraints, velocities and accelerations. Coordinate Partition Method. Motor constraints.

3. Planar kinematics with Cartesian coordinates: Coordinates, constraints and joints. Equations of position, velocity and acceleration. Kinematic joints. Applications.

4. Dynamic analysis in the plane: Equations of motion. Forces vector. Spring-damper-translation and rotation actuator. Reactions due to constraints. Lagrange Multipliers. System of equations of motion. Applications.

5. Numerical methods for solving ordinary differential equations.

6. Contact and impact of mechanical systems. Applications to motor vehicle collisions.

7. Other formulations used for dynamic multibody analysis.

Programs

Programs where the course is taught: