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# Topology Optimization

Topology optimization is a method that optimizes the material structure within the boundary conditions (load and 3D design area) defined by the user or regulations. The main purpose is to maximize the performance of the system by mathematically modeling and optimizing for external forces, boundary conditions and constraints.

###### Topology Optimization Usage Areas

Topology optimization has long been used by engineers in various fields to minimize strain energy while maintaining the amount of material used and the mechanical strength of structures. Topology optimization has a wide range of applications in engineering. It is generally used for changes in shape, size and material replacement. It is aimed to produce free shapes that will use these foundations, naturally formed by topology optimization, with additive manufacturing methods instead of traditional production methods. Topology optimization is generally applied to improve performance and efficiency. It is used to make the design strong enough within boundary conditions using a small amount of material. With this method, it is possible to respond quickly to the lightness requirements that are constantly needed especially in the developing aviation industry. The material replacement method can be applied with topology optimization. Additive manufacturing and classical manufacturing methods can be used together.

### High Performanceand Efficiency

Working with the topology optimization method requires significant expertise. With topology optimization tools, CAD data can be created at a speed, complexity and performance that a designer cannot manually create. In this context, CAD modeling timing and costs are certain to drop dramatically. When it comes to manufacturing parts, additive manufacturing processes can also turn final parts quickly, as they don’t require tooling much faster than traditional manufacturing methods. Topology optimization is a mathematical method that optimizes the material arrangement within a given design space for a given set of loads, boundary conditions, and constraints in order to maximize the performance of the system or product. This optimization is a mathematical process. It is a method that spatially optimizes material distribution within a defined domain by fulfilling predetermined constraints and minimizing a previously defined cost function. Three basic elements for such an optimization procedure are; The design variables are the cost function and constraints.

### What is Topology Optimization?

Topology Optimization (TO) is a mathematical process that optimizes the material layout and structure within a given three-dimensional geometric design space for certain predefined rules set by a designer. The purpose of this optimization is to maximize part performance by modeling and optimizing factors such as external forces, load conditions, boundary conditions, constraints and material properties within the design envelope.

RO is usually performed at the final stage of the design phases, when the targeted product needs to be lighter. Therefore, there is already a basic design model for setting up the TO analysis.

• First, the designer determines the smallest allowable design space required for the product.
• Next, the material properties, boundary conditions, constraints and user external loads are defined. During this phase, exclusion areas or fixed locations are also determined.
• FEA then considers the least geometric design envelope and divides the design space into smaller areas such as applied load points, mounting locations, and constrained areas.
• TO creates a basic mesh of this smaller design space using finite element analysis. FEA (Finite Element Analysis) then evaluates the stress distribution and strain energy of the mesh to find the optimum load or stress that each element can handle.
• The TO program then digitally prints the design from various angles, evaluates its structural integrity, and detects redundant materials.
• The topology optimization software then tests each finite element for stiffness, conformity, tension, deflection against the defined requirement to find excess material.
• Finally, finite element analysis puts the pieces together to complete the pattern.

• Optimized Design – TO helps quantify optimal design. Infinite element analysis considers many factors and avoids making dangerous assumptions that could lead to incorrect elements.
• Minimum Material Use – The most notable benefit of this optimization is its ability to reduce unnecessary material and increase the hardness-to-weight ratio. The lower weight and size also results in smaller products and less energy consumption. In addition, the optimized design will reduce the raw material required and thus be sustainable for our world.
• Cost-Effective – RO designs will be more economical with an appropriate manufacturing process. Because by placing the material only in the necessary places, you minimize the use and cost of the material. It also saves you money on other factors such as less energy for packaging, handling and shipping. Many of the complex geometries resulting from this optimization will make standard manufacturing processes impractical. However, when combined with 3D printing, this complexity comes at no extra cost.
• Reducing Environmental Impact – RO design is sustainable as it generates less waste. However, if the wrong manufacturing is selected, this may not be correct. For example, TO designs are more suitable for additive manufacturing. For machining, it is vital to start the design pattern as small as possible to minimize material removal and minimize waste.
• Faster Iterative Design Process – Reduces the risk of failure by going through various modes and taking into account the stress of components.
Faster Time to Market – As a result of a fast and easy-to-produce design optimization, you can be the first to enter the market much earlier than your competitors.