# Structural Optimization in Finite Element Analysis (FEA)

 Duration: 1.5 days Delivery: E-learningOnsite Classroom Language: English Level: Mid-level Availability: Worldwide Tutor(s): Tony Abbey
Achieve meaningful structural optimization.

Finite Element Analysis has emerged has a tool that can play a vital part in the drive towards the ultimate goal of any manufacturing process; to produce the most effective products in the most efficient manner. This simple statement embraces all of the ‘right first time’, ‘minimum design to test cycles’ and other practices that have evolved.

The introduction of a formal structural optimization strategy into this process has met with great success in many industries. It makes the creation of the most effective product that much more attainable.

Traditionally one might think of the Aerospace Industry as the classic example with the goal of keeping weight to a minimum. Indeed the structural efficiencies of modern aircraft owe a lot to optimization methods. However it would be wrong to think of this as always a strength and stiffness against weight minimization task. The interaction of Aerodynamics, Aeroelasticity, Structures, Performance, Operating Cost and many other disciplines all have to play a role in the overall vehicle design.

This gives the clue as to the broader nature of structural optimization across all industries. The objective does not need to be weight minimization. It could be, for example driving down the overall vibration amplitude of a hairdryer, whilst keeping away from unpleasant harmonic frequencies. Weight has still to be monitored, and we can place an upper limit on this – but the other factors are more important and will feature directly in the optimization analysis.

Similarly other disciplines can play a role in structural optimization. In the case of pump housing, we want this to be stiff and strong enough to do the job, with minimum weight. However the cost of manufacture is important so a parametric penalty function can be introduced which ‘steers’ the weight reduction to a compromise solution which is cheaper to machine.

How do we define the penalty function in the above case? Well, that’s where the ingenuity of the analyst comes in! Knowing how to set up the optimization task and how to obtain innovative solutions with the tools provided is a key to success in FEA Structural Optimization.

The objective of this course is show you a broad overview of the range of FEA based tools available and what the methods and specializations of each encompass. Plentiful hints and tips will demonstrate powerful ways to use these methods. The goal is to achieve meaningful structural optimization in support of the most effective products.

## Course Program

### Part 1

• Finite Element Analysis Overview
• Background and History of Structural Optimization
• Putting Optimization in perspective
• The Goals of Optimization
• Terminology, Definition and Classification
• The upside and the downside of Optimization
• Overview of Optimization Categories applied to FEA
• Sizing
• Shape
• Topology
• Discussion of internal FEA optimizers and external optimizers
• Difference in Approach
• Overview of Optimization Strategies
• Optimality Criteria
• Design Sensitivity and approximate solutions
• Homogeneous Stress or Energy solutions
• Design Of Experiments, Genetic Algorithm and similar methods
• Some simple Case Studies to illustrate the concepts

### Part 2

• Theoretical background to Optimization
• Implications for Practical FEA implementation
• A closer look at Sizing Optimization
• Background theory
• Case Studies in Sizing optimization
• A more sophisticated approach to objectives, variables and constraints
• Practical Gauge Constraints
• Complex Responses
• Response functions as Objectives
• Compound Objectives
• Practical Hints and Tips
• Case Studies of the methods

### Part 3

• Shape optimization in detail
• Parametric and Nonparametric issues
• Homogeneous methods
• DOE, GA and similar methods
• Improving practicality of results
• Practical hints and tips
• Case studies in shape optimization
• Topology Optimization in detail
• Parametric and Nonparametric issues
• Interface with CAD and production – concept study or practical design?
• Review of methods available
• Practical hints and tips
• Case studies in topology optimization

### Part 4

• Multi Objective Methods
• Background Theory
• Multi-Disciplinary Optimization (MDO)
• Case Studies in MDO
• Optimization of Nonlinear and Dynamic Response systems
• Case Studies in Nonlinear and Dynamic Response
• Robust Optimization – moving away from the one point solution
• Background theory and case studies for Robust Optimization

### Who Should Attend?

Practicing engineers who wish to learn more about how to apply the various optimization methods available to FEA structural analysis in the most effective manner.

### Interested?

Get in touch to discuss your next steps with our experienced training team. We can work closely with you to understand your specific requirements, cater for your specific industry sector or analysis type, and produce a truly personalised training solution for your organisation.

All NAFEMS training courses are entirely code independent, meaning they are suitable for users of any software package.

Courses are available to both members and non-members of NAFEMS, although member organisations will enjoy a significant discount on all fees.

NAFEMS course tutors enjoy a world-class reputation in the engineering analysis community, and with decades of experience between them, will deliver tangible benefits to you, your analysis team, and your wider organisation.

### PSE Competencies addressed by this training course

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 w/ microphone) 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 @ nafems.org ) 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 (5+), please send an email to e-learning @ nafems.org in advance for group discounts.