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
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.
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.
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.
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 |
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