Linear and Non-linear FEA

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Linear & Non-linear Finite Element Analysis (FEA) for Product Design

In the world of engineering design, understanding how structures will perform under various conditions is critical. Finite Element Analysis (FEA) is the cornerstone of modern structural analysis, offering unparalleled insights into both linear and non-linear structural behaviour. At Resonant Engineering, we empower clients by delivering actionable insights through expert FEA, guiding decisions that lead to robust, innovative designs.

Linear and non-linear FEA allow product development businesses to confidently predict structural performance, optimize components, and anticipate potential issues. By partnering with Resonant Engineering, you’ll gain access to tailored solutions that save development time, reduce design costs, and ensure the success of your product development journey.

Applications of Linear FEA at Resonant Engineering

By leveraging linear FEA, our clients gain the insights needed to refine their designs. Our FEA experts provide actionable design recommendations based on the following linear FEA

Linear Static Stress Analysis
Linear Buckling Analysis
Linear Dynamic Analysis
- Modal analysis
- Harmonic analysis
- Full transient analysis
- Response spectrum analysis
- Random vibration analysis
- Rotordynamics

Linear FEA

Linear FEA is an essential tool in product design, widely used for analysing idealized structural behaviour under small deformations and linear material conditions. Linear FEA is computationally efficient and particularly valuable during early design stages when rapid insights are essential for informed decision-making. Due to its efficiency, the linear FEA is well suited for structural optimization, material and design selection studies.

Non-linear Finite Element Analysis

Real-world challenges often demand deeper analysis than linear FEA can provide. Non-linear finite element analysis captures complex behaviours, such as prediction of structural failure, advanced contact analysis, and responses of highly non-linear, flexible materials. Non-linear FEA delivers high-fidelity insights for demanding applications, making it suitable for advanced design stages.

Why Choose Resonant Engineering for FEA?

Partnering with Resonant Engineering means working with a team dedicated to your success. We go beyond software proficiency, offering deep expertise in interpreting results, choosing the right analysis methods, and translating findings into actionable recommendations.

Whether you’re optimizing a new product or validating a critical design, our linear and non-linear finite element analysis services ensure you have the insights needed to succeed. Trust in our expertise, and let Resonant Engineering help you push the boundaries of what’s possible in product development.

Understanding Non-linearities

There are many sources of non-linearities in mechanical systems:

Geometric non-linearity is a consequence of large displacements, often observable in highly flexible structures, such as beams, cables, plates or shells.

Non-linear material properties are often inherent properties of materials. Unlike the geometric non-linearity that becomes relevant under high loading, these non-linearities can be activated under arbitrary loading conditions. Non-linear material behaviour includes hyper elasticity of rubbers and foams, and plasticity of metals.

Contact and other non-linear boundary conditions are often present due to interaction of structures with other flexible objects or fluid, this includes bolted joints, friction interfaces, or sliding elements.

Non-linear dissipative effects can be an inherent characteristic of the material, but are also exhibited in frictional interfaces and joints. The energy dissipation in joints and interfaces is arguably the most frequent cause of non-linearity in real-life structures.

Non-linear FEA Applications at Resonant Engineering

At Resonant Engineering, our non-linear FEA experts deliver solutions tailored to the most demanding engineering challenges. Whether you’re tackling highly non-linear materials or advanced contact behaviour, we provide the clarity you need to make informed decisions by utilising

Non-Linear Static Stress Analysis
Non-linear buckling and post-buckling behaviour analysis
Non-Linear Dynamic Analysis
- Non-linear Modal analysis
- Frequency response using harmonic balance method
- Full transient analysis

Testimonials

What Our Clients Say

Working with Resonant Engineering has greatly improved our machining fixtures. Their expert structural analysis led to design modifications that enhanced both strength and durability. Thanks to their solution, we now enjoy better precision, repeatability, and consistent performance. We highly recommend Resonant Engineering for their outstanding technical support.

Vaclav has been and is a huge asset to our development team. His understanding and expertise in vibration control have been invaluable. He saved us £1000s by developing in-house testing capabilities which are bespoke to our specific need. On top of that he provides superb advice and analysis that is helping us develop class leading products

I contracted Vaclav to conduct FEA on a set of aluminium sculptures for me. He presented the results in a very clear manner and was highly communicative throughout the project, more than happy to address any concerns I had or further explain certain aspects or assumptions in the analysis. Vaclav is a consummate professional and highly qualified expert in his field. I'd highly recommend him to others seeking similar work to be completed.

In general, I was quite pleased with the work done by Resonant Engineering. Vaclav did a great job and got me helpful data, which made a huge difference in the simplification of the design of my aquarium stand. Vaclav is rather easy to talk to, as he is very industrious and perceptive of certain details. Vaclav quickly grasped what I was looking for in my project and produced very good work.