last modified:23/02/2006

Course code: wb1419

Course name: Engineering Dynamics

This concerns a Course

ECTS credit points: 4

Faculty of Mechanical Engineering and Marine Technology

Section of Engineering Mechanics

Lecturer(s): Daniel J. Rixen

Tel.:  015 - 27 1523 /      

Catalog data:

(see wb1418)

Course year:

MSc 1st year

Course language:

English

In case of Dutch: Please contact the lecturer about an English alternative, whenever needed.

Semester:

1A / 1B

Hours per week:

2 / 3

Other hours:

16

Assessment:

Oral exam

Assessment period:

1B / 2A

(see academic calendar)

 

Prerequisites (course codes):

(see wb1418)

Follow up (course codes):

Multibody Dynamics A (wb1310), Multibody Dynamics B (wb1413), Numerical Methods in Dynamics (wb1416), Non-Linear Vibrations (wb1412).

Detailed description of topics:

This course is an extended version of the course Engineering Dynamics. In addition to the topics treated in the Engineering Dynamics course, more time will be spent on the analysis of mechanisms and on other advanced dynamic engineering subjects. The extension part is usually given as a self-study course

Course material:

  •  Lecture notes (available through blackboard)

References from literature:

  • see wb1418

Remarks assessment, entry requirements, etc.:

see wb1418

Learning goals:

  1. explain the relations between the principle of virtual work and the Lagrange equations for dynamics to the basic Newton laws

  2. describe the concept of kinematic constraints (holonomic/non-holonomic, scleronomic/rheonomic) and choose a proper set of degrees of freedom to describe a dynamic system

  3. write the Lagrange equations for a minimum set of degrees of freedom and extend it to systems with additional constraints (Lagrange multiplier method)

  4. linearize the dynamic equations by considering the different contributions of the kinetic and potential energies (both for system with and without overall motion imposed by scleronomic constraints)

  5. analyze the linear stability of dynamic systems (damped and undamped) according to their state space formulation if necessary

  6. explain and use the concept of free vibration modes and frequencies

  7. interpret and apply the orthogonality properties of modes to describe the transient and harmonic dynamic response of damped and undamped systems

  8. evaluate the approximations introduced when using truncated modal series (spatial and spectral)

  9. explain how mode superposition can be used to identify the eigenparameters of linear dynamic systems

  10. write the dynamic equations of a continuum using local equilibrium or energy approaches, including the proper boundary conditions

  11. find an approximate solution to linear continuous problems by Rayleigh-Ritz methods and Finite Elements (bars and beams)

  12. describe the virtual work principle for continuous systems and show the link to the minimum residual interpretation and to Rayleigh-Ritz approximations

  13. derive from the virtual work principal the Euler-Newton equations of a three-dimensional rigid body

  14. use the concept of rotation velocities to write the Euler relations between rotational parameters and velocities

  15. use the Lagrange equations to derive the dynamic equations of a rigid multibody dynamic systems

  16. choose a proper parametrization of rotations and derive the associated kinematical relations necessary in the equations of motion

Computer use:

see wb1418

Laboratory project(s):

-

Design content:

-

Percentage of design:  -0%