Machine Dynamics

Getting started with machine dynamics

The dynamic analysis of complex machines is often required to determine the machine’s motion and the forces that act during this motion. This is important for the purpose of strength analysis and determining the required driving forces, which could be used for design improvements or optimization. 

In this course, a systematic procedure is presented to describe the machine kinematics and machine dynamics. To this end, kinematic constraints are formulated in terms of a carefully selected set of coordinates. Then, the system’s equation of motion is derived, taking these kinematic constraints into account.

It is explained in which specific situations hand calculations can still be used to establish relations between the velocities and accelerations of several machine components. It will also be explained what numerical techniques can be used to analyze the machine dynamics of the most general multibody systems.

Getting started with machine dynamics

At the end of this course you are able to:

  • formulate kinematic constraints for various types of joints
  • perform velocity and acceleration analysis
  • formulate equations of motion
  • determine constraint forces during motion
  • set-up relevant numerical solution procedures
  • perform relevant analytical hand calculations

Intended for

This course is intended for engineers in the field of machine design and analysis. In particular it is relevant for engineers that have plenty of experience in static analysis and/or finite element analysis that want to have a solid introduction or recapitulation of the field of machine dynamics.

People with more experience in machine dynamics / structural dynamics / experimental dynamics are referred to the course Multibody Dynamics: Flexibility, which is tailored to their increased level of knowledge.

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  • Information
    The program can be taught in English on request.
  • Program

    Day 1

    • Course introduction
    • Position analysis: Generalized coordinates, degrees of freedom, kinematic constraint equations for rotational and translational joints, analytical & numerical methods for solving kinematic constraint equations.
    • Velocity and acceleration analysis: Kinematic chain structures, instantaneous velocity and acceleration, kinematic diagrams, analytical & numerical methods for solving velocities and accelerations.

    Day 2

    • Equations of motion: Newton’s laws of motion, solving constraint forces for kinematically driven system, analytical methods for kinematically solvable systems.
    • Constrained equations of motion: Solving dynamically driven systems, numerical methods for solving equations of motion whilst satisfying kinematic constraint equations.

    Day 3

    • Recap and overview of analytical methods
    • Extension to rigid multibody dynamics: automizing the formulation of kinematic constraint equations, numerical time integration of the constrained equations of motion.
    • Introduction to advanced topics in machine dynamics: including flexibility of individual components (flexible multibody dynamics) for the purpose of vibration engineering.