Concurrent Topology Optimization of Shell Structures with Multi-Configuration and Variable-Density Infill

Concurrent topology optimization of sandwich structures with multi-configuration and variable-diameter lattice infill

Tailored Functionally Graded Materials design and concurrent topology optimization with implicit fields

An approach for the concurrent homogenization-based microstructure type and topology optimization problem

The present work introduces a novel concurrent optimization formulation to meet the requirements of lightweight design and various constraints simultaneously. Nodal displacement of macrostructure and effective thermal conductivity of microstructure are regarded as the constraint functions, which means taking into account both the load-carrying capabilities and the thermal insulation properties. The effective properties of porous material derived from numerical homogenization are used for macrostructural analysis. Meanwhile, displacement vectors of macrostructures from original and adjoint load cases are used for sensitivity analysis of the microstructure. Design variables in the form of reciprocal functions of relative densities are introduced and used for linearization of the constraint function. The objective function of total mass is approximately expressed by the second order Taylor series expansion. Then, the proposed concurrent optimization problem is solved using a sequential quadratic programming algorithm, by splitting into a series of sub-problems in the form of the quadratic program. Finally, several numerical examples are presented to validate the effectiveness of the proposed optimization method. The various effects including initial designs, prescribed limits of nodal displacement, and effective thermal conductivity on optimized designs are also investigated. An amount of optimized macrostructures and their corresponding microstructures are achieved.

This paper presents a study on the concurrent topology optimization of a structure and its material microstructure. A modified optimization model is proposed by introducing microstructure orientation angles as a new type of design variable. The new model is based on the assumptions that a structure is made of a material with the same microstructure, and the material may have a different orientation within the design domain of the structure. The homogenization theory is applied to link the material and structure scales. An additional post-processing technique is developed for modifying the obtained design to avoid local optima caused by the use of orientation angle variables. Numerical examples are presented to illustrate the viability and effectiveness of the proposed model. It is found that significant improvement in structural performance can be achieved by optimizing the orientation of microstructures in concurrent topology optimization of structures and materials. This paper presents a modified concurrent optimization model with three kinds of design variables. At the micro scale, topological design variables are employed for describing the distribution of base material within a material cell so that the material microstructure can be defined. At the macro scale, in addition to topological design variables for describing the distribution of material with microstructure within the design domain, microstructure orientation angles are introduced for defining material axis directions at different locations. Numerical examples have shown that significant improvement in the performance of optimized designs can be achieved.

Concurrent topology optimization of macrostructures and material microstructures for natural frequency

Exploring the influence of initial design domain dependencies in concurrent multiscale topology optimization for heat conductivity maximization

Multiscale concurrent topology optimization of transient thermoelastic structures

Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model

Concurrent multi-material and multi-scale design optimization of fiber-reinforced composite material and structures for minimum structural compliance

This paper studies two-scale concurrent topology optimization with multiple micro heterogeneous materials subject to volume constraints. Unlike the existing work on concurrent two-scale optimization where only one material with optimal microstructure is used or that with multiple micro material where each material is distributed in a number of prescribed geometrical domains, selection of micro heterogeneous materials in this work is based on direction of principal stresses in macro structure. For a structure composed of m micro materials, the macro elements are classified into m categories according to their principal stress direction and each category is assigned with a uniform micro material. The interpolation scheme for macro elements is based on Discrete Material Optimization (DMO), where each element is assigned with m macro design variables. The categorization process of the macro structure is achieved by proper modification of volume constraints, where the macro design variables are multiplied by penalty functions. The penalty functions make it uneconomical for the usage of micro materials, which do not correspond to the principal stress direction of their macro element. The macro structure and micro material are connected through effective property, which is calculated through novel numerical implementation of asymptotic homogenization method (NIAH). Both macro structure and micro materials are optimized concurrently and analytical sensitivities are calculated with adjoint method. One minimum compliance numerical example of an L-bracket subject to volume constraints, where one micro material correspond to macro domain with principal stress angle near 0 or 90 degrees and another correspond to that with principal stress angle near 45 or 135 degrees, is presented to show the potential of the proposed method.

The wavelength-routed optical network-on-chip (WRONoC) is a promising solution for system-on-chip designs. Recent work in the WRONoC topology designs mainly utilizes crossing switching elements (CSEs) as switching mechanisms on predefined templates. However, using CSEs incurs more microring resonator (MRR) usage and waveguide crossings than parallel switching elements (PSEs), and their predefined templates constrain the solution spaces. To remedy these disadvantages, we propose a fully automated topology design flow that utilizes PSE structures to reduce MRR usage and waveguide crossings. Our add-drop filter sequence model expands the solution space and leverages the advantage of the crossing-free PSE structure. With the sequence model, we also derive lower bounds of the MRR usage and the maximum insertion loss for the topology. For full-connectivity topologies, our proposed flow guarantees optimal (minimum) MRR usage. Our fixed-node crossing-aware edge routing effectively minimizes waveguide crossings, and our A*-search preserves the admissibility property and guarantees an optimal routing solution. Besides, our design flow thoroughly considers the information from the physical layout. Experimental results show that our design substantially outperforms state-of-the-art works on customized designs.

According to the requirements of the aerospace industry for high strength, high stiffness, and lightweight structural parts, topology optimization has been proved to be an effective product design method. As one of the most conceptual and prospective structural optimization design methods, topology optimization intends to seek the optimal layout of materials in an allowed design region under a given load and boundary conditions. Thus, the object of study in the article is the method of topological optimization of aircraft structures. The goal of this article is to analyze the existing approaches, algorithms, as well as application of the method of topological optimization in the aerospace field in applied problems. The tasks are to describe the existing various approaches methods, features, and research directions of topological optimization as well as to study the possibility of application in the manufacturing process of composite structures. The following results were obtained. The optimization methods are briefly explained and compared, and the advantages and limitations of each approach are discussed. The various ways of simultaneous optimization of fiber orientation and structural topology were described and analyzed. The features of different methods of continuous fiber orientation optimization method were reviewed. The discrete fiber orientation optimization methods were represented. The possibility of multi-scale concurrent topological optimization was described. The combination of topology optimization and additive manufacturing was considered. Finally, the topology optimization of FRC structures which have been resolved in literature are reviewed and the potential research fields requiring more investigation are pointed out. Conclusions. In the article, a comprehensive review of the topology optimization design of FRC structures was presented. The promising way is to combine topology optimization with additive manufacturing techniques. However, these proposed methods may not suitable for other more complex problems, such as bucking stability and natural frequency. Hence, the topology optimization design of complex FRC components under complicated conditions is the main challenge in the future. This can be a new trend in the topology design of FRC structures.

Service Overlay Network (SON) was proposed to alleviate the difficulties encountered in providing end-to-end Quality of Service (QoS) guarantees. SON is able to provide QoS guarantees by purchasing bandwidth from individual network domains and building a logical end-to-end data delivery infrastructure on top of the existing Internet. We focus on SON topology design problems under a generalized cost model. Earlier research in this topic considered two distinct cost models - fixed (leased) cost model and variable (usage-based) cost model. However in most applications, the costs of both nodes and links have a fixed component as well as a variable component that often depends on usage. Our generalized cost model takes this fact into account and our topology design algorithm uses this cost model to And the optimal topology. Since the SON topology design problem is NP-complete, we provide approximation algorithm with guaranteed performance bound. We validate the effectiveness of our algorithm through extensive simulation.

Optimal isolated microgrid topology design for resilient applications