Mathematical method for optimizing material layout under given conditions
Topology optimization is a mathematical method that optimizes material layout within a given design space, for a given set of loads, boundary conditions and constraints with the goal of maximizing the performance of the system. Topology optimization is different from shape optimization and sizing optimization in the sense that the design can attain any shape within the design space, instead of dealing with predefined configurations.
The conventional topology optimization formulation uses a finite element method (FEM) to evaluate the design performance. The design is optimized using either gradient-based mathematical programming techniques such as the optimality criteria algorithm and the method of moving asymptotes or non gradient-based algorithms such as genetic algorithms.
Topology optimization has a wide range of applications in aerospace, mechanical, bio-chemical and civil engineering. Currently, engineers mostly use topology optimization at the concept level of a design process. Due to the free forms that naturally occur, the result is often difficult to manufacture. For that reason the result emerging from topology optimization is often fine-tuned for manufacturability. Adding constraints to the formulation in order to increase the manufacturability is an active field of research. In some cases results from topology optimization can be directly manufactured using additive manufacturing; topology optimization is thus a key part of design for additive manufacturing.
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maximizing the performance of the system. Topologyoptimization is different from shape optimization and sizing optimization in the sense that the design can attain...
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by using another overlaying optimizer, a concept known as meta-optimization, or even fine-tuned during the optimization, e.g., by means of fuzzy logic...
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Design for Additive Manufacturing. Topologyoptimization is a type of structural optimization technique which can optimize material layout within a given...
first optimize the underlying linkage configuration and then optimize the topology around that configuration.[citation needed] Other optimization techniques...
programming problems, particularly those related to structural design and topologyoptimization. MMA was introduced by Krister Svanberg in a 1987 paper titled,...
thickness control), or can be enforced using optimization methods (microstructure shape and topological optimization). Innovations in this field are being discovered...
Z88 is a software package for the finite element method (FEM) and topologyoptimization. A team led by Frank Rieg at the University of Bayreuth started...
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"TopologyOptimization: Theory, Methods and Applications" with Martin P. Bendsøe. His research group was the first to achieve giga-resolution topology...
Topological game Topological graph theory Topological K-theory Topological modular forms Topological skeleton Topologyoptimization Water, gas, and electricity...
OLSR is a proactive link-state routing protocol, which uses hello and topology control (TC) messages to discover and then disseminate link state information...
Christian (2019). Design of segmented thermoelectric Peltier coolers by topologyoptimization. OXFORD: Elsevier Ltd. p. 1. DiSalvo, Francis (July 1999). "Thermoelectric...
variable topologyoptimization algorithms for QoS provisioning in scatternets," IEEE JSAC Special Issue on Quality of Service Delivery in Variable Topology Networks...
ongoing development. Recent breakthroughs in this space include: Topologyoptimization, an algorithm that refines 3D models to be more efficient and cost-effective...
Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the...
NeuroEvolution of Augmenting Topologies (NEAT) is a genetic algorithm (GA) for the generation of evolving artificial neural networks (a neuroevolution...
differentiable, which makes it applicable to applications such as topologyoptimization. The method was first proposed by Peter Wriggers et al. where a...
mechanical loads. The objective of optimization is to minimize the component's elastic energy. Conventional topology optimisation methods which simulate...
Architectural design optimization (ADO) is a subfield of engineering that uses optimization methods to study, aid, and solve architectural design problems...
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