Topology optimization
Topology optimization is an improved design that uses mathematical formulas to present the layout of materials. The laid out materials form design spaces within complex parts used in additive manufacturing. Mathematical formulas demonstrate a set of designs that use certain restricted margins for maximization of production in a system. Additionally, maximization of performance with minimal restrictions requires the use of computational optimization techniques (Zegard & Paulino, 2016). Engineers need to research the best ways that enhance and program the use of conventional structures, which promote optimized design through topology optimization as part of additive manufacturing process.

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The use of topology optimization in the development of complex additive manufacturing systems assists in the identification of best geometry elements for the development of a central idea or concept. Topology optimization supports the development of optimized designs in the form of 2D and 3D material distributions. Some of the problems identified in the process include local material failures, multiple physics, and non-behavior (Zegard & Paulino, 2016). The solutions to the problems above must involve the use of topology optimization structures as part of additive manufacturing system process. Additionally, topology optimization in the development of complex parts in additive manufacturing enhances efficiency and use of algorithms.

The incorporation of algorithms, in this case, assists in the development of 3D designs, tailored manufacturing systems, and adaptive discretization. Therefore, topology optimization is an important concept in the development of complex parts of additive manufacturing because it provides opportunities for applications in the formulations of 2D and 3D designs. Furthermore, the topology optimization is applied in the development of optimal and thermal performances for machines and mechatronics systems (Gaynor et al. 2014). It is important to note the incorporation of topology optimization in micro devices and nanostructures that allow for micro-actuation, tailored structures that allow for catalytic reactions and incorporation of compliant mechanisms. Moreover, topology optimization in the formation of complex parts in additive manufacturing have been made possible in the transport industry to allow for automation, aerospace systems and maritime (Zegard & Paulino, 2016).

Additive manufacturing and topology optimization
Additive manufacturing has allowed for the development of various designs in 3D. The manufacturing process provides fabrication systems within optimized designs without the amalgamation of compromised systems. Besides, additive manufacturing gives engineers the opportunity to handle manufacturing constraints with the development of optimized components that progress complex geometries. The use of topology optimization in the formation of the system creates forms that have natural design technologies through additive manufacturing process for full exploitation of certain potential components (Gaynor et al. 2014). Therefore, the formation of 2D and 3D becomes simple because of the incorporation of topology optimization systems that provides for design concepts within fabrications complex geometries. The manufacturing process does not include constraints but instead form shapes of optimization.

The use of additive manufacturing and topology optimization assists in the design of shape optimization for the development of efficient and final fine-tuning designs. The process allows for excellent automated concepts of generations that develop systems for technological fabrication. Topology optimization is important in the development of complex parts in additive manufacturing because of fabrication techniques. Use of fabrication techniques shapes and promotes accurate limitations for certain micro scales and design structures required for various components. Furthermore, topology optimization as part of additive manufacturing shapes optimization for the concentration of fabrication within inaccuracies and development of optimized, robust systems.

Engineers have been able for form robust design optimized systems through topology optimization and integration of photonic gadgets. The formation of the structures includes the use of algorithms that tend to reduce functionalities for the incorporation of integrated optimal objects. The incorporation of topology optimization in the formation of robust design systems promotes fabrication for the development of wavelengths and more predictable adapters required in additive manufacturing. Moreover, the application of topology optimization in the formation of complex parts in additive manufacturing creates front electrode patterns required in solar cells (Gaynor et al. 2014). The use of the engineering concepts in solar cells generates standard optimal front electrode that improves the output of the cells. The application of topology optimization in additive manufacturing has allowed for design supports and loads that incorporate the use of volume materials. The incorporation of shapes and lightweight structures composite parts and the use of 3D components to allow for the various structures required in manufacturing.

Therefore, the use of topology optimization in additive manufacturing creates multiple weights that combine natural frequencies for the development of normal structures (Ferguson, et al. 2016). The process gives an opportunity for engineers to observe rules and develop cyclic proportions that legalize various results. Moreover, the formation of evolutionary fluid structures has been possible through the use of topology optimization in a complex part of additive manufacturing. Mechanical engineers can create evolutionary techniques as part of interaction to solutions of problems. Besides, integrated topologies in the optimization of regulated systems have been possible for efficient strategies.

The strategies give an opportunity for design-controlled structures that focus on high performance with the incorporation of mechatronic structures. Aircraft structures through topology optimization in additive manufacturing have been possible in most engineering concepts because of stress based technical supports for the development of aircraft components (Ferguson, et al. 2016). Stress constrains through the use of topology optimization explores real industrial problems while focusing on constraints to give solutions. Geometrical non-linear systems develop consistent frameworks that combine structures with large deformations as part of a complex part in additive manufacturing through topology optimization.