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Dynamic FE Analysis - NAFEMS e-Learning Training Course



April 21st - June 2nd, 2009 

Six-Week Training Course

Note: Once you register for the course using the "order" button (look right), you will receive the course attendee packet mentioned in the description below. Please click here to view the FAQ section, or if you need to contact NAFEMS about this course.

Course Overview

Many problems facing designers and engineers are dynamic in nature. The response of a structure cannot be simply assessed using static assumptions.

The nature of the problem may be to understand the resonant frequencies of your design, so that key driving frequencies such as equipment rotational speed, acoustic or external pressure frequencies, ground motion frequency content or vehicle passing frequency.

Your design may face external driving forces from adjacent components; cams, push rods, pistons or from vehicle input sources such as a bumpy road, wave loading, air pressure or inertial forces.

Whatever the nature of the challenge, this objective of this course is to break down the dynamic problem into clearly defined steps, give an overview of the physics involved and show how to successfully implement practical solutions using Finite Element Analysis.

Course Process and Details 

This course is completely code independent. No software is required.

Each topic in the class is treated as a building block and is presented using an overview of the physics and theory involved. The math is kept simple and the emphasis is on practical examples from real life to illustrate the topic. The mapping to Finite Element analysis techniques is shown with numerous workshops. The tutor will be running analysis interactively and involving the students in the process via Q and A periods during each session, follow up emails and a Course Bulletin Board

Students are shown the various approximation methods and how to judge which are acceptable and appropriate for solving a wide range of practical problems. Practical considerations of loadings, boundary conditions, damping and   structural details are shown by numerous examples.

Of equal importance is the assessment and interpretation of results. This starts with ensuring the modal frequencies and mode shapes are feasible and accurate. Techniques are shown to confirm this and to make sure the basic modal response of a design is fully understood. Comparison against test or hand calculations is shown. A range of hints and tips are shown for producing subsequent efficient and accurate response analyses.

Interaction is encouraged throughout the course, with the planning and design of complete FEA projects. Options for mass and stiffness modeling, damping, loads and boundary conditions and solution methods are discussed interactively with the students.  The tutor then runs the analyses using this input and the results are investigated. Using this approach, classic errors are shown and corrected in a real world scenario.

The session covers a wide range of application techniques available and shows typical applications and best practices across industry. The objective is to show students how to assess the nature of the dynamic environment and what tools can be used, together with the scope of the various solutions.

Students are welcome to send in problems from Industry and these will be discussed as time permits.

Full notes are provided for the students, together with personal passwords for e-learning backup material, bulletin board access, etc.

Who Should Attend?

This course is aimed at practicing engineers who wish to learn more about how to apply finite element techniques to dynamic analysis in the most effective manner. Ideally a student should have some experience of FEA analysis, but this is not essential. The material that is presented is independent of any particular software package, making it ideally suited to current and potential users of all commercial finite element software systems. This course is a must for all engineers aiming to use FEA as a reliable predictive tool for dynamic analysis.

Course Program

Note: This is a six-week course. Each session represents one 2-hour session each week.

Session 1 - April 21st, 2009 @ 11am EDT (4pm BST)

  • Finite Element Analysis Overview
  • Introduction to Dynamics
  • FEA Basic Principals
  • Undamped Single Degree of Freedom Systems
  • Equation of Motion and Normal Modes
  • Mapping to FEA with basic elements
  • Extending to Multiple Degrees of Freedom
  • Eigenvalue extraction, background and FEA implementation
  • Importance of Mode Identification – use of post processing
  • Workshops with a range of structures, 1D to 3D.

Session 2 - April 28th, 2009 @ 11am EDT (4pm BST)

  • Importance of Mass modeling
  • Introduction to Modal Effective Mass
  • Meshing quality
  • Rigid Body Modes
  • Typical Errors
  • QA for normal modes analysis
  • Forensic workshops on models with errors
  • Modal Correlation
  • Reduction Methods
  • Workshops

Session 3 - May 6th, 2009 @ 11am EDT (4pm BST) (*Wednesday session)

  • Overview of Response Analysis
  • Modal and direct methods
  • Introduction to Forcing Functions and Damping
  • Damped, Forced Single Degrees of Freedom
  • Equation of Motion revisited
  • Mapping to FEA with Basic elements
  • Extending to Multiple Degrees of Freedom
  • Workshops

Session 4 - May 12th, 2009 @ 11am EDT (4pm BST)

  • Transient Analysis background
  • Workshops with Transient Analysis
  • Accurate time step prediction, results checking, aliasing
  • Managing a large Transient Analysis
  • Frequency Response Analysis background
  • Workshops with Frequency Response Analysis
  • Checking Frequency response, importance of peaks and spectral spread
  • Managing a large Frequency Response Analysis

Session 5 - May 19th, 2009 @ 11am EDT (4pm BST)

  • Further Damping review
  • Enforced Motion and Forcing Functions reviewed
  • Workshop Examples
  • Response Spectra Overview
  • Response Spectra Analysis – creation of a spectra
  • Response Spectra Analysis – application of a spectra
  • Workshop Examples

Session 6 - June 2nd, 2009 @ 11am EDT (4pm BST)

  • Random Analysis Overview
  • Random Analysis workshops
  • Application of Random Analysis results for Fatigue
  • Checking with Miles Equation
  • Managing Large Random Analysis problems
  • Overview of Nonlinear Dynamics
  • Workshop Examples
  • Overview of Impact Analysis
  • Overview of Implicit versus Explicit Solutions

For more information, please email e-learning @ .


Event Type: Course
Location: e-Learning Online
Date: April 21, 2009

Course Instructor

Tony Abbey has created and taught a wide range of FEA based training classes over the past 15 years. He has developed a reputation for providing the student with an experience that is full of insight gained from his extensive experience, but which also challenges and motivates. Tony has been working with FEA for over 30 years, both in Industry and for FEA software providers in the UK and the US. He currently runs his own FEA consultancy company,

His informal and interactive presentation style allows the key concepts to be taught in a manner which involves participants fully in the course material. Tony presents papers at NAFEMS and other conferences on a regular basis and has been involved with NAFEMS since its formation

Why an e-Learning Class?

In the current climate travel and training budgets are tight. To help you still meet your training needs the following e-learning course has been developed to complement the live class. The e-learning course runs over a six week period with a single two hour session per week.

E-learning classes are ideal for companies with a group of engineers requiring training. E-learning classes can be provided to suit your needs and timescale. Contact us to discuss your requirements.