Introduction to Dynamics using Finite Elements Analysis (FEA)

Duration:	1 day
Delivery:	E-learning Onsite Classroom
Language:	English
Level:	Introductory
Availability:	Worldwide
Tutor(s):	Tony Abbey
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Do you know if your model is realistic?
What is the importance of normal modes analysis?
How do you calculate transient and frequency response input parameters effectively?

Get the answers to these questions and more with this industry-leading, code-independent course.

This course covers a range of topics, all aimed at structural designers and engineers who are moving into the area of dynamic analysis, including:

Normal Modes Analysis
Damping
Modal Coordinates
Modal effective Mass
Transient Response
Frequency Response

What will you learn?

The importance of normal modes analysis
Techniques for identifying and characterising normal modes
Roadmaps for simple and effective calculation of transient and frequency response input parameters
A QA checklist covering normal modes and dynamic response analysis
Practical hints and tips on all aspects of normal modes and dynamic response analysis

What questions will this course answer?

What are the most important dynamic analysis topics?
What theoretical background do I need to understand the implications of my analysis?
What practical hints and tips do I need to be able to carry out analysis effectively?

Who should attend?

Designers and engineers who are moving into the area of dynamic analysis. Familiarity with FEA is assumed, but no other background knowledge is required.

The objective of this course is to break down any Dynamics problem into clearly defined steps and show how to successfully implement practical solutions using Finite Element Analysis.

Dynamic analysis needs a clear set of objectives and analysis plan to:

Predict what natural frequencies will be important
Avoid guessing the size or number of time steps in a transient analysis
Adopt an accurate and logical method to define frequency response calculation points
Make informed decisions on damping
Make an engineering assessment – is your model realistic
Check the answers – guilty until proven innocent!

This class covers all the FEA solution types required to carry out normal modes and basic frequency response analysis.

The course is completely code independent.

Course Program

Background to Dynamics

Introductions
FEA Overview
What are Natural Frequencies, Normal Modes
Equation of Motion
Undamped Free Vibration
Undamped Single Degree of Freedom Systems
Undamped Multiple Degrees of Freedom
Eigenvector normalization
Importance of Mode Identification – use of post-processing
Checklist for Normal Modes assessment

Dynamics in FEA

Homework Review
Eigenvalue Extraction Methods
Rigid Body Modes
Importance of Mass modeling
Accurate Idealization – joints and boundary conditions
Meshing quality
Typical Errors
QA for normal modes analysis

Dynamic Analysis Building Blocks

Homework Review
Modal Coordinates
Introduction to Modal Effective Mass
Introduction to Damping
Damped, Free vibration
Forms of Damping
Practical Damping
Workshops

Overview of Response Analysis

Homework Review
Modal and Direct methods
Residual Vectors
Introduction to Forcing Functions and Damping
Damped, Forced vibration
Workshops

Transient Analysis

Homework Review
Transient Analysis background
Direct Transient Analysis
Direct Transient Examples
Accurate time step prediction, results checking, aliasing
Modal Transient Analysis
Modal Transient Examples
Dynamic Base Motion
Base Motion Examples

Frequency Response Analysis

Homework Review
Frequency Response Analysis background
Direct Frequency Response
Strategy for Frequency Response calculation points
Example with Direct Frequency Response Analysis
Modal Frequency Response
Example with Modal Frequency Response Analysis
Checking - importance of peaks and spectral spread

PSE Competencies addressed by this training course

ID	Competence Statement
DVkn1	State Newton's 2nd Law or, equivalently, the d'Alembert Force Method.
DVkn2	Define the relationships amongst instantaneous acceleration, velocity and distance.
DVkn3	Define the basic equation for Kinetic Energy.
DVkn7	State the Mass Moment of Inertia in general and define it for a circular cylindrical rod rotating about an end.
DVkn9	Define the terms frequency, period, phase angle, and amplitude for a harmonic time signal
DVkn10	State the typical matrix structure of the discrete differential equation system for linear MDOF systems
DVkn11	Define the terms free and forced vibration
DVkn12	State typical values for damping in various engineering structures.
DVco5	Explain the term Instantaneous Centre of Zero Velocity.
DVco9	Explain the term Conservative Forces, Potential, and Strain energy
DVco12	Explain the use of physical, analytical and mathematical models in a structural dynamics modelling process.
DVco13	Discuss the full discrete linear differential Equation of Motion in matrix terms and explain the terms Free Response and No Damping.
DVco14	Explain the derivation of the General Matrix Eigenvalue Problem (characteristic equation) from the Equation of Motion.
DVco15	Explain different physical forms of Dynamic Loading (Excitation) in a Force Response analysis.
DVco16	Explain Harmonic, Periodic, Transient, and Random time response.
DVco18	Explain steady-state response for harmonic excitation.
DVco19	Explain the term complex Frequency-Response Function, Magnification Factor, and Phase Angle in relation to frequency ratio and damping.
DVco20	Discuss the term Natural Frequency in relation to a continuum and a discretized system.
DVco21	Discuss the phenomenon of Resonance.
DVco22	Explain the terms Mode Shape/Eigenvector, Modal Mass, Modal Damping, and Modal Stiffness Factors.
DVco25	Discuss the characteristics of mass and damping matrices.
DVco26	Describe the difference between Viscous, Dry-Friction (Coulomb), and Hysteretic Damping.
DVco27	Describe the effect of damping on natural frequencies and resonance.
DVco28	Describe Free Vibration of undamped and damped systems.
DVco29	Explain the Logarithmic Decrement Method.
DVco30	Discuss the concept of mass and stiffness proportional (Rayleigh) damping.
DVco33	Discuss the steady state and total response of a damped system subjected to harmonic excitation.
DVco34	Describe the terms Intertia force, Damping force and Stiffness force.
DVco35	Discuss the integral equation for element mass, highlighting the variables which it is dependent upon.
DVco37	Describe the terms Lumped mass matrix and Consistent mass matrix and identify which formulation is appropriate to elements being used.
DVco38	Discuss various strategies for extraction of eigenvalues and mode shapes, including Lanczos and Subspace Iteration.
DVco39	Discuss how the solution of the Free Vibration Problem depends upon a truncation of range of natural frequencies and mode shapes.
DVco40	Explain methods to compare Experimental with Analytical Modal Analysis data (e.g., MAC, COMAC).
DVco42	Explain why in a free vibration problem, an analysis system may report 6 frequencies of small magnitude.
DVco45	Contrast Modal Superposition and Direct Time Integration methods for transient response analysis.
DVco47	Contrast mesh density requirements in static and dynamic problems.
DVco48	Discuss why joints can prove to be problematic in a dynamic analysis.
Dvco53	Discuss frequency range obtainable by FE modal analysis.
DVap1	Employ Free Body Diagrams effectively, showing initial and final conditions where appropriate.
DVap3	Employ a range of post-solution checks to determine the integrity of dynamic FEA results.
DVap5	Employ an analysis system for the determination of natural frequencies and mode shapes.
DVap6	Employ an analysis system for the determination of steady state response and frequency response function for a periodic excitation
DVap11	Employ an analysis system for the determination of dynamic stresses, where appropriate.
DVap13	Illustrate the approximate nature of finite element analysis, through dynamic examples chosen from your industry sector.
DVan1	Analyse the results from dynamic analyses and determine whether they are consistent with assumptions made and the objectives of the analysis.
DVan2	Analyse the results from and modelling for dynamic analyses by comparing measured modal data (EMA) with those obtained from FE analytical modal analysis.
DVsy1	Prepare a dynamic analysis specification, highlighting any assumptions relating to geometry, mass distribution, loads, boundary conditions, damping, and material properties.
DVsy2	Plan a dynamic analysis, specifying necessary resources and timescale.
DVsy3	Prepare quality assurance procedures for dynamic finite element analysis activities within an organisation.
DVsy4	Specify ancillary Pilot Studies and complementary Experimental Studies, where appropriate.
DVev1	Select appropriate idealisation(s) for components / structures, which are consistent with the objectives of the dynamic analyses.
DVev2	Assess the significance of neglecting any feature or detail in any dynamic idealisation.
DVev3	Assess the significance of simplifying geometry, material models, mass, loads or boundary conditions and damping assumptions on a dynamic analysis.
DVap7	Employ an analysis system for the determination of transient response in a range of linear and nonlinear systems.
DVap8	Employ an analysis system for the determination of seismic response in a range of linear and nonlinear systems.

Interested in this Course?

Please complete this form if you are interested in scheduling an on-site training session, or if you would like to be notified of the next public course session.

Introduction to Dynamics using FEA