A hybrid multilevel method for simultaneous optimization design of topology and discrete fiber orientation

2021 ◽  
pp. 113791
Author(s):  
Zheng Hu ◽  
Oleksii Vambol ◽  
Shiping Sun
Keyword(s):  
Fiber Orientation ◽  
Optimization Design ◽  
Simultaneous Optimization ◽  
Multilevel Method ◽  
Discrete Fiber

On the Optimal Design of Bodies With Material Symmetries

1994 ◽  
Author(s):  
Giannantonio Sacchi Landriani ◽  
Alberto Taliercio
Keyword(s):  
Optimal Design ◽  
Fiber Orientation ◽  
Extreme Values ◽  
Three Dimensional ◽  
Necessary Optimality Conditions ◽  
Transversely Isotropic ◽  
Elastic Stiffness ◽  
The Body ◽  
Simultaneous Optimization ◽  
Material Symmetry

Abstract These notes are concerned with the optimal design of two dimensional, in-plane loaded structural elements and three dimensional bodies, made of aleotropic materials, with regard to both the elastic and the ultimate behaviour. Sec. 2 is devoted to finding the local orientations of the material symmetry axes in 3D orthotropic solids, corresponding to extreme values of the global elastic stiffness. These orientations are shown to be such that collinearity of principal stress and principal strains is achieved throughout the body. In the particular case of transversely isotropic or cubic materials, optimal orientations are shown to depend both on a material parameter and the strain field. A certain orientation of the material symmetry axes may correspond either to a minimum or to a maximum in the elastic stiffness, depending on whether the material has ‘high’ or ‘low shear modulus’. These results are then specialized to plane orthotropic bodies, in which case the theoretical findings obtained by other authors are recovered. In the plane case, also simultaneous optimization of fiber orientation and density is dealt with. Sec. 3 concerns optimal limit design of plastic 2D in-plane loaded orthotropic structures. Fiber orientation and density are assumed as design variables. Here again, necessary optimality conditions are analytically found and their mechanical interpretation is studied. Analogies with both the numerical results of other authors and the elastic case are observed and discussed as well.

Optimization strategies in chiral liquid chromatography

1990 ◽  
Vol 333 (1628) ◽  
pp. 159-160
Keyword(s):  
Factorial Design ◽  
Mobile Phase ◽  
Optimization Design ◽  
Enantiomer Separation ◽  
Chiral Separations ◽  
Simultaneous Optimization ◽  
Chiral Drugs ◽  
Lattice Design ◽  
Biological Studies ◽  
Starting Point

The advent of new LC column technology for the separation of chiral drugs and metabolites has transformed the practice of enantiomer separation for the quality control of chiral drugs and for biological studies on chiral entities. The wide variety of separation principles now exploited for chiral analysis has led to the development of more than 40 different columns, plus the complementary technology where a chiral mobile phase additive is used with a regular reversed-phase column. The multiplicity of choice for chiral separations can present major difficulties in selecting a suitable starting point for a particular enantiomer separation. However, for a particular chiral modality, the problem is then to rapidly assess its suitability for a given analyte, and then the optimize the enantiomeric resolution observed. These objectives can be achieved by using a combination of systematic optimization strategies, together with diagnostic tests for peak resolution and homogeneity. Thus factorial design (Berridge 1985) can be used to assess the practical range and extent of interaction of those eluent parameters that determine chiral resolution. This can then be followed by computer-aided sequential simplex optimization to establish the conditions for the best available resolution on the specific chiral system selected (Fell et al . 1989). The central composite (factorial) design requires 1) experiments for k factors, and permits a second-order polynomial to be fitted to the data, with the advantage that the model so developed can be used predictively (Berridge 1985). Simplex lattice design is a form of simultaneous optimization design based on isoeluotropic mixtures of mobile phase to generate data that allow a linear model to be developed for predictive purposes (Schoenmakers 1986).

scholarly journals A review on the topology optimization of the fiber-reinforced composite structures

2021 ◽  
pp. 54-72
Author(s):  
Zheng Hu
Keyword(s):  
Topology Optimization ◽  
Additive Manufacturing ◽  
Fiber Orientation ◽  
Composite Structures ◽  
Optimization Design ◽  
Optimization Methods ◽  
Topology Design ◽  
Topological Optimization ◽  
Main Challenge ◽  
Orientation Optimization

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.

scholarly journals Synchronization Optimization of Pipeline Layout and Pipe Diameter Selection in a Self-Pressurized Drip Irrigation Network System Based on the Genetic Algorithm

Water ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 489 ◽  
Author(s):  
Rong-Heng Zhao ◽  
Wu-Quan He ◽  
Zong-Ke Lou ◽  
Wei-Bo Nie ◽  
Xiao-Yi Ma
Keyword(s):  
Genetic Algorithm ◽  
Drip Irrigation ◽  
Optimization Design ◽  
Optimization Method ◽  
Simultaneous Optimization ◽  
Network System ◽  
Pipe Network ◽  
Network Systems ◽  
Irrigation Network ◽  
Effective Performance

A synchronous optimization method for self-pressure drip irrigation pipe network system is proposed. We have generalized the optimization design problem of the system and have established the mathematical models for the simultaneous optimization design of pipeline layout and pipe diameters. A genetic algorithm based on the infeasibility degree of the solution was used to solve the model. A typical example is used to validate the presented method. The method exhibits effective performance in the case studied. Designers can use the results of this study to efficiently design self-pressurized drip irrigation network systems.

Optimal design of a high homogeneous and small-size shim coil for atomic spin gyroscope based on 0-1 linear programming

2020 ◽  
Vol 64 (1-4) ◽  
pp. 165-172
Author(s):  
Dongge Deng ◽  
Mingzhi Zhu ◽  
Qiang Shu ◽  
Baoxu Wang ◽  
Fei Yang
Keyword(s):  
Linear Programming ◽  
Power Consumption ◽  
Low Power ◽  
Optimization Design ◽  
Structural Parameters ◽  
Axial Position ◽  
Low Power Consumption ◽  
Optimal Method ◽  
Atomic Spin ◽  
Shim Coil

It is necessary to develop a high homogeneous, low power consumption, high frequency and small-size shim coil for high precision and low-cost atomic spin gyroscope (ASG). To provide the shim coil, a multi-objective optimization design method is proposed. All structural parameters including the wire diameter are optimized. In addition to the homogeneity, the size of optimized coil, especially the axial position and winding number, is restricted to develop the small-size shim coil with low power consumption. The 0-1 linear programming is adopted in the optimal model to conveniently describe winding distributions. The branch and bound algorithm is used to solve this model. Theoretical optimization results show that the homogeneity of the optimized shim coil is several orders of magnitudes better than the same-size solenoid. A simulation experiment is also conducted. Experimental results show that optimization results are verified, and power consumption of the optimized coil is about half of the solenoid when providing the same uniform magnetic field. This indicates that the proposed optimal method is feasible to develop shim coil for ASG.

Sign in / Sign up

Export Citation Format

Share Document