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Finite Element Procedures For The Numerical Analysis Of Steel And Aluminium Structures

Simulation Driven Design - NAFEMS Recognised Training Course

Finite Element Procedures For The Numerical Analysis Of Steel And Aluminium Structures

 

Title:

Finite Element Procedures For The Numerical Analysis Of Steel And Aluminium Structures

Provider:MZA Research - Numerical Consulting Ltd
Duration:21 Hours (3 days)
Date of Recognition:October 2022
Delivery Method:In Person Classroom
Location:

London, UK

For Full Details, Email: research@mza-structuralengineering.com


Aims

T​his module is intended to be an intensive 3-day numerical application course aimed at providing the correct sequential procedure to obtain a steel/aluminium structure FE model that is compatible, from a design perspective, with dynamic analyses. The numerical examples presented in this course cover the use of beam, plate and brick elements, with each being analysed for their responses under dynamic load conditions.

Objectives

T​he course is suitable for structural engineers mainly in the field of Steel and Aluminium Structures who are interested in learning or optimising their approach to ensure that they have a proper and analytical correct model-assembly-procedure, model debugging approach and a verification-validation understanding of dynamic problems under non-linear conditions. Participants should have a reasonable-experienced background in Finite Element Methods and Structural Mechanics. Methods and debugging technics will be outlined with only few mathematical references and are illustrated by practical software implementations.

C​ode-Dependancy

T​he course/training programme is not software specific, but it will be held by making use of the Strand7® Nonlinear FE package and the new 3D Experience system Simulia/Abaqus (by Dassault Systèmes). For all participants, an educational licence will be provided upon request.

PSE Competencies addressed by this training course

FEAkn05

State the variational principle involved in the formulation of the Displacement Finite Element Method and identify the solution quantity assumed within each element

FEAkn06

State the variational principle involved in the formulation of the Equilibrium Finite Element Method and identify the solution quantity assumed within each element

FEAkn15

List 2 common solvers for large sets of simultaneous equations

FEAco03

Explain the term solution residual

FEAco04

Explain the meaning of convergence, including h and p types

FEAco05

Discuss the difficulties that can arise in using a CAD model as the basis for carrying out analysis and simulation

FEAco06

Discuss the need for a consistent set of units in any analysis and illustrate possible pitfalls

FEAco09

Explain the meaning of the term ill-conditioned when used in the context of a set of solution equations and illustrate physical situations where this might reflect reality

FEAco35

Discuss the terms Validation and Verification and highlight their importance

FEAap12

Employ a range of post-solution checks to determine the integrity of FEA results

FEAap13

Conduct validation studies in support of FEA

FEAap14

Carry out sensitivity studies

FEAan03

Analyse the results from sensitivity studies and draw conclusions from trends

D​Vkn10

State the typical matrix structure of the discrete differential equation system for linear MDOF systems

D​Vkn11

Define the terms free and forced vibration

D​Vkn12

State typical values for damping in various engineering structures

D​Vco01

Explain the terms Kinematics and Kinetics

D​Vco04

Explain the term Conservation of Energy and Conversation of Momentum

D​Vco06

Discuss the term Relative Motion

D​Vco09

Explain the term Conservative Forces, Potential, and Strain energy

D​Vco10

Describe the application of Lagrange's Equation to obtain the differential Equation of Motion

D​Vco11

Explain the Principle of Virtual Work

D​Vco12

Explain the use of physical, analytical and mathematical models in a structural dynamics modelling process

D​Vco13

Discuss the full discrete linear differential Equation of Motion in matrix terms and explain the terms Free Response and No Damping

D​Vco14

Explain the derivation of the General Matrix Eigenvalue Problem (characteristic equation) from the Equation of Motion

D​Vco15

Explain different physical forms of Dynamic Loading (Excitation) in a Force Response analysis

D​Vco16

Explain Harmonic, Periodic, Transient, and Random time response

D​Vco20

Discuss the term Natural Frequency in relation to a continuum and a discretized system

D​Vco21

Discuss the phenomenon of Resonance

D​Vco22

Explain the terms Mode Shape/Eigenvector, Modal Mass, Modal Damping, and Modal Stiffness Factors

D​Vco25

Discuss the characteristics of mass and damping matrices

D​Vco27

Describe the effect of damping on natural frequencies and resonance

D​Vco28

Describe Free Vibration of undamped and damped systems

D​Vco30

Discuss the concept of mass and stiffness proportional (Rayleigh) damping

D​Vco33

Discuss the steady state and total response of a damped system subjected to harmonic excitation

D​Vco34

Describe the terms Intertia force, Damping force and Stiffness force

D​Vco38

Discuss various strategies for extraction of eigenvalues and mode shapes, including Lanczos and Subspace Iteration

D​Vco41

Discuss the influence of pre-stress on natural frequencies

D​Vco44

Explain 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

D​Vco54

Discuss various approaches to Seismic Analysis and highlight relevant philosophy and analysis considerations

D​Vco56

Explain the term response spectra

D​Vap02

Use appropriate damping idealisations and/or measured modal damping when necessary

D​Vap05

Employ an analysis system for the determination of natural frequencies and mode shapes

D​Vap06

Employ an analysis system for the determination of steady state response and frequency response function for a periodic excitation

D​Vap10

Employ an analysis system for the simulation of impact

D​Vap13

Illustrate the approximate nature of finite element analysis, through dynamic examples chosen from your industry sector