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

This 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

The 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.

Code-Dependancy

The 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
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
DVco01	Explain the terms Kinematics and Kinetics
DVco04	Explain the term Conservation of Energy and Conversation of Momentum
DVco06	Discuss the term Relative Motion
DVco09	Explain the term Conservative Forces, Potential, and Strain energy
DVco10	Describe the application of Lagrange's Equation to obtain the differential Equation of Motion
DVco11	Explain the Principle of Virtual Work
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
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
DVco27	Describe the effect of damping on natural frequencies and resonance
DVco28	Describe Free Vibration of undamped and damped systems
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
DVco38	Discuss various strategies for extraction of eigenvalues and mode shapes, including Lanczos and Subspace Iteration
DVco41	Discuss the influence of pre-stress on natural frequencies
DVco44	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
DVco54	Discuss various approaches to Seismic Analysis and highlight relevant philosophy and analysis considerations
DVco56	Explain the term response spectra
DVap02	Use appropriate damping idealisations and/or measured modal damping when necessary
DVap05	Employ an analysis system for the determination of natural frequencies and mode shapes
DVap06	Employ an analysis system for the determination of steady state response and frequency response function for a periodic excitation
DVap10	Employ an analysis system for the simulation of impact
DVap13	Illustrate the approximate nature of finite element analysis, through dynamic examples chosen from your industry sector