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Advanced Dynamic FEA

Why does a PSD plot have such strange units?
Why are dynamic effects important in shock spectra?
Why does non-linear stiffness dissipate energy?

Get the answers to these questions and more with this industry-leading, code-independent e-learning course on:

Advanced Dynamic FEA

This course covers a broad range of solution types, beyond the usual natural frequency and dynamic response methods. This allows more physical phenomena to be investigated and simulated using dynamics in FEA.

Topics covered include; Random Vibration, Shock and Response Spectra, Nonlinear Dynamic Response, Explicit Dynamic Analysis and Complex Eigenvalue Analysis.

What will you learn?

  • The theory behind advanced dynamic analysis techniques
  • A practical understanding of advanced applications
  • Hints and tips for setting up advanced dynamic analyses
  • A roadmap for understanding the results from dynamic analysis
  • The limitations of simulation methods

Who should attend?

  • Designers and engineers who are familiar with dynamic analysis and want to learn more
  • Experienced engineers who want to brush up on their advanced dynamic analysis knowledge

The course is completely code independent.

This is a 4-session online training course, with each session lasting for approximately 2/2.5 hours, depending on homework submissions, questions & discussions.

You can attend the sessions live, and/or stream on demand. When you register you will get access to a dedicated course forum where you can contact the tutor with questions, submit homework, download pdfs of course notes and access all session recordings. To get the most out of the course, participation in forum discussions is encouraged.

Questions? Contact us on

Course Process and Details

Students will join the audio portion of the meetings by utilizing the VoIP (i.e. headset connected to the computer via headphone and microphone jacks) or by calling into a standard toll line. If you are interested in additional pricing to call-in using a toll-free line, please send an email to: e-learning @ .

Course Program

This is a 4-session online training course, with each session lasting for approximately 2.5/3 hours, depending on homework submissions, questions & discussions.
You can attend the sessions live, and/or by listening to the recordings, which will be made available shortly after the end of each session.
(click to expand)


Session 1: Shock and Response Spectra


  • Importance of Dynamic Effects in Shock
  • Shock Spectra Analysis
  • Response Spectra Overview
  • DDAM overview
  • Response Spectra Analysis – creation of a spectra
  • Response Spectra Analysis – application of a spectra
  • Response Spectra Examples
  • Homework Session 1


Session 2: Random Response


  • Homework Review
  • Probability and Random theory review
  • PSD definition
  • Random FE Analysis Overview
  • Application of Random Analysis results for Fatigue
  • Checking with Miles Equation
  • Random Response Examples
  • Homework session 2


Session 3: Nonlinear Dynamics


  • Homework Review
  • Dynamic Nonlinearity
  • Nonlinear Strategy
  • Example of Geometric Nonlinearity
  • Theoretical Solution
  • Numerical solution
  • Background to Material Nonlinearity
  • Example of Material Nonlinearity
  • Theoretical Solutions
  • Numerical solutions


Session 4: Explicit and Complex Analysis
  • Overview of Implicit versus Explicit Solutions
  • Applicability of Explicit techniques
  • Explicit Basic Concepts
  • Time step calculations
  • Simple Example
  • Lagrangian and Eulerian solutions
  • Complex Eigenvalue Analysis
  • Applications using complex Eigenvalues

PSE Competencies addressed by this training course (click to reveal)


IDCompetence Statement
DVco24Discuss the variables in an Impact Analysis.
DVco31Discuss the term non-proportional damping.
DVco44Explain the terms Implicit Solution and Explicit Solution for the time integration of the equations of motion and the appropriate associated problem classes of dynamic analyses.
DVco49Discuss possible sources of nonlinearity in a dynamic problem.
DVco50Explain the term Power Spectral Density.
DVco54Discuss various approaches to Seismic Analysis and highlight relevant philosophy and analysis considerations.
DVco56Explain the term response spectra.
DVap9Employ an analysis system for the determination of response in a range of linear and nonlinear systems, to random vibration.
DVap10Employ an analysis system for the simulation of impact.
DVap7Employ an analysis system for the determination of transient response in a range of linear and nonlinear systems.
DVap8Employ an analysis system for the determination of seismic response in a range of linear and nonlinear systems.



Event Type eLearning
Member Price £393.85 | $502.00 | €462.98
Non-member Price £583.72 | $744.00 | €686.16
Tutor: Tony Abbey


Start Date End Date Location

Session Times


Session Times

Advanced Dynamic FEA

Four-Session Online Training Course

2.5/3 hours per session
PDH Credits - 10

Attend the live sessions, or view the recordings at your convenience.

Not Available to Attend this Time?

Would you like us to notify you when the next course is open for enrollment? If so, add yourself to the eLearning Waitlist

Please click here to view the FAQ section, or if you need to contact NAFEMS about this course.

Engineering Board PDH Credits

*It is your individual responsibility to check whether these e-learning courses satisfy the criteria set-out by your state engineering board. NAFEMS does not guarantee that your individual board will accept these courses for PDH credit, but we believe that the courses comply with regulations in most US states (except Florida, North Carolina, Louisiana, and New York, where providors are required to be pre-approved)

Special Note(s):

Telephony surcharges may apply for attendees who are located outside of North America, South America and Europe. These surcharges are related to individuals who join the audio portion of the web-meeting by calling in to the provided toll/toll-free teleconferencing lines. We have made a VoIP option available so anyone attending the class can join using a headset (headphones) connected to the computer. There is no associated surcharge to utilize the VoIP option, and is actually encouraged to ensure NAFEMS is able to keep the e-Learning course fees as low as possible. Please send an email to the e-Learning coordinator (e-learning @ ) to determine if these surcharges may apply to your specific case.

Just as with a live face-to-face training course, each registration only covers one person. If you plan to register a large group (10+), please send an email to e-learning @ in advance for group discounts.

For NAFEMS cancellation and transfer policy, click here.