Download or read book Modeling Solving and Application for Topology Optimization of Continuum Structures ICM Method Based on Step Function written by Yunkang Sui and published by Butterworth-Heinemann. This book was released on 2017-08-29 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. - Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models - Centers on the application of ICM method in various situations with the introduction of easily coded software - Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

Download or read book Evolutionary Topology Optimization of Continuum Structures written by Xiaodong Huang and published by John Wiley & Sons. This book was released on 2010-03-11 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary Topology Optimization of Continuum Structures treads new ground with a comprehensive study on the techniques and applications of evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Since the ESO method was first introduced by Xie and Steven in 1992 and the publication of their well-known book Evolutionary Structural Optimization in 1997, there have been significant improvements in the techniques as well as important practical applications. The authors present these developments, illustrated by numerous interesting and detailed examples. They clearly demonstrate that the evolutionary structural optimization method is an effective approach capable of solving a wide range of topology optimization problems, including structures with geometrical and material nonlinearities, energy absorbing devices, periodical structures, bridges and buildings. Presents latest developments and applications in this increasingly popular & maturing optimization approach for engineers and architects; Authored by leading researchers in the field who have been working in the area of ESO and BESO developments since their conception; Includes a number of test problems for students as well as a chapter of case studies that includes several recent practical projects in which the authors have been involved; Accompanied by a website housing ESO/BESO computer programs at http://www.wiley.com/go/huang and test examples, as well as a chapter within the book giving a description and step-by-step instruction on how to use the software package BESO2D. Evolutionary Topology Optimization of Continuum Structures will appeal to researchers and graduate students working in structural design and optimization, and will also be of interest to civil and structural engineers, architects and mechanical engineers involved in creating innovative and efficient structures.

Download or read book Topology Optimization in Structural and Continuum Mechanics written by George I. N. Rozvany and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.

Download or read book Evolutionary Topology Optimization of Continuum Structures written by Xiaodong Huang and published by Wiley. This book was released on 2010-04-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary Topology Optimization of Continuum Structures treads new ground with a comprehensive study on the techniques and applications of evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Since the ESO method was first introduced by Xie and Steven in 1992 and the publication of their well-known book Evolutionary Structural Optimization in 1997, there have been significant improvements in the techniques as well as important practical applications. The authors present these developments, illustrated by numerous interesting and detailed examples. They clearly demonstrate that the evolutionary structural optimization method is an effective approach capable of solving a wide range of topology optimization problems, including structures with geometrical and material nonlinearities, energy absorbing devices, periodical structures, bridges and buildings. Presents latest developments and applications in this increasingly popular & maturing optimization approach for engineers and architects; Authored by leading researchers in the field who have been working in the area of ESO and BESO developments since their conception; Includes a number of test problems for students as well as a chapter of case studies that includes several recent practical projects in which the authors have been involved; Accompanied by a website housing ESO/BESO computer programs at http://www.wiley.com/go/huang and test examples, as well as a chapter within the book giving a description and step-by-step instruction on how to use the software package BESO2D. Evolutionary Topology Optimization of Continuum Structures will appeal to researchers and graduate students working in structural design and optimization, and will also be of interest to civil and structural engineers, architects and mechanical engineers involved in creating innovative and efficient structures.

Download or read book Topology Optimization written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.

Download or read book Topology Design Methods for Structural Optimization written by Osvaldo M. Querin and published by Butterworth-Heinemann. This book was released on 2017-06-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology Design Methods for Structural Optimization provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multi-load cases and experiencing linear elastic conditions. Written by an expert team who has collaborated over the past decade to develop the methods presented, the book discusses essential theories with clear guidelines on how to use them. Case studies and worked industry examples are included throughout to illustrate practical applications of topology design tools to achieve innovative structural solutions. The text is intended for professionals who are interested in using the tools provided, but does not require in-depth theoretical knowledge. It is ideal for researchers who want to expand the methods presented to new applications, and includes a companion website with related tools to assist in further study. - Provides design tools and methods for innovative structural design, focusing on the essential theory - Includes case studies and real-life examples to illustrate practical application, challenges, and solutions - Features accompanying software on a companion website to allow users to get up and running fast with the methods introduced - Includes input from an expert team who has collaborated over the past decade to develop the methods presented

Download or read book Multiscale Structural Topology Optimization written by Liang Xia and published by Elsevier. This book was released on 2016-04-27 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain. Presents the first attempts towards topology optimization design of nonlinear highly heterogeneous structures Helps with simultaneous design of the topologies of both macroscopic structure and microscopic materials Helps with development of computer codes for the designs of nonlinear structures and of materials with extreme constitutive properties Focuses on the simultaneous design of both macroscopic structure and microscopic materials Includes a reduce database model from a set of numerical experiments in the space of effective strain

Download or read book Topology Optimization of Continuum Structures Using the Homogenization Method written by Calvin Ken Young and published by . This book was released on 1998 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topology Optimization of Continuum Structures Using Element Exchange Method written by Mohammad Rouhi and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research, a new zeroth-order (non-gradient based) topology optimization methodology for compliance minimization was developed. It is called the Element Exchange Method (EEM). The principal operation in this method is to convert the less effective solid elements into void elements and the more effective void elements into solid elements while maintaining the overall volume fraction constant. The methodology can be integrated with existing FEA codes to determine the stiffness or other structural characteristics of each candidate design during the optimization process. This thesis provides details of the EEM algorithm, the element exchange strategy, checkerboard control, and the convergence criteria. The results for several two- and three-dimensional benchmark problems are presented with comparisons to those found using other stochastic and gradient-based approaches. Although EEM is not as efficient as some gradient-based methods, it is found to be significantly more efficient than many other non-gradient methods reported in the literature such as GA and PSO.

Download or read book Topology Optimization of Structures and Composite Continua written by George I. N. Rozvany and published by Springer Science & Business Media. This book was released on 2001-01-31 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology optimization of structures and composite materials is a new and rapidly expanding field of mechanics which now plays an ever-increasing role in most branches of technology, such as aerospace, mechanical, structural, civil and ma terials engineering, with important implications for energy production as well as building and environmental sciences. It is a truly "high-tech" field which requires advanced computer facilities and computational methods, whilst involving unusual theoretical considerations in pure mathematics. Topology optimization deals with some of the most difficult problems of mechanical sciences, but it is also of consid erable practical interest because it can achieve much greater savings than conven tional (sizing or shape) optimization. Extensive research into topology optimization is being carried out in most of the developed countries of the world. The workshop addressed the state of the art of the field, bringing together re searchers from a diversity of backgrounds (mathematicians, information scientists, aerospace, automotive, mechanical, structural and civil engineers) to span the full breadth and depth of the field and to outline future developments in research and avenues of cooperation between NATO and Partner countries. The program cov ered • theoretical (mathematical) developments, • computer algorithms, software development and computational difficulties, and • practical applications in various fields of technology. A novel feature of the workshop was that, in addition to shorter discussions after each lecture, a 30 minutes panel discussion took place in each sesssion, which made this ARW highly interactive and more informal.

Download or read book Topology Optimization in Engineering Structure Design written by Jihong Zhu and published by Elsevier. This book was released on 2016-11-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology Optimization in Engineering Structure Design explores the recent advances and applications of topology optimization in engineering structures design, with a particular focus on aircraft and aerospace structural systems.To meet the increasingly complex engineering challenges provided by rapid developments in these industries, structural optimization techniques have developed in conjunction with them over the past two decades. The latest methods and theories to improve mechanical performances and save structural weight under static, dynamic and thermal loads are summarized and explained in detail here, in addition to potential applications of topology optimization techniques such as shape preserving design, smart structure design and additive manufacturing.These new design strategies are illustrated by a host of worked examples, which are inspired by real engineering situations, some of which have been applied to practical structure design with significant effects. Written from a forward-looking applied engineering perspective, the authors not only summarize the latest developments in this field of structure design but also provide both theoretical knowledge and a practical guideline. This book should appeal to graduate students, researchers and engineers, in detailing how to use topology optimization methods to improve product design. - Combines practical applications and topology optimization methodologies - Provides problems inspired by real engineering difficulties - Designed to help researchers in universities acquire more engineering requirements

Download or read book Topology Design of Structures written by Martin P Bendse and published by Kluwer Academic Pub. This book was released on 1993 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The efficient use of materials is of great importance, and the choice of the basic topology for the design of structures and mechanical elements is crucial for the performance of sizing of shape optimization. This volume provides a comprehensive review of the state of the art in topology design, spanning fundamental mathematical, mechanical and implementation issues. Topology design of discrete structures involves large scale computational problems and the need to select structural elements from a discrete set of possibilities. The formulation and solution of discrete design problems are described, including new applications of genetic algorithms and dual methods. For continuum problems the emphasis is on the `homogenization method', which employs composite materials as the basis for defining shape in terms of material density, unifying macroscopic structural design optimization and micromechanics. All aspects of this field are covered, including computational aspects and the use of the homogenization method in a computer-aided design environment.

Download or read book Topology Optimization for Continuum Structure with Numerical Methods written by Jiali Xuan and published by . This book was released on 2012 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Convex Modeling Based Topology Optimization with Load Uncertainty written by Xike Zhao and published by . This book was released on 2013 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In traditional topology optimization formulation the external load are deterministic and the uncertainties are not considered. The convex modeling based topology optimization method for solving topology optimization problems under external load uncertainties is presented in this dissertation. The load uncertainties are formulated using the non-probabilistic based unknown-but-bounded convex model. The sensitivities are derived and the problem is solved using gradient based algorithm. The proposed convex modeling based method yields the material distribution which would optimize the worst structure response under the uncertain loads. Comparing to the deterministic based topology optimization formulation, the proposed method provided more reliable solutions when load uncertainties were involved. The proposed method can work with other method to solved complicated design problems. A protective structure design problem involving load uncertainties, multiple design objectives and unconstrained structure is solved by integrating the convex modeling based topology optimization method with regional strain energy formulation and inertial relief method. The simplicity, efficiency and versatility of the proposed convex modeling based method can be considered as a supplement to the sophisticated probabilistic based topology optimization methods.

Download or read book Conceptual Design Using Multilevel Continuum Structural Topology Optimization written by Bodi Lu and published by . This book was released on 2014 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum topology optimization is a mathematical/computational method to find optimal conceptual structural designs for given loads and boundary conditions. To provide realistic design solutions for structures such as long-span bridges, the method must deal with sparse structures on large, finely meshed domains. Consequently, the method can be very computationally intensive. In this study we attempt to reduce the computational intensity by applying both a multi-level refinement method and an analysis problem size reduction technique. The proposed techniques are found in this study to reduce the computational effort required by a factor of about 3. To make sure that design solutions obtained with the proposed methods are both constructible and convergent with mesh refinement, a perimeter control method is employed in this framework. Besides, analysis is made on both structural layout and objective function curve diagram during optimization process.

Download or read book Topology Optimization for Thermal fluid Applications Using an Unstructured Finite Volume Scheme written by Ajay Vadakkepatt and published by . This book was released on 2016 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology optimization is a method for developing optimized geometric designs that maximize a quantity of interest (QoI) subject to constraints. Unlike shape optimization, which optimizes the dimensions of a template shape, topology optimization does not start with a pre-conceived shape. Instead, the algorithm builds the geometry iteratively by placing material pixels in a specified background domain, aiming to maximize the QoI subject to a constraint on the volume of material or other constraints. The power of topology optimization lies in its ability to realize design solutions that are not initially apparent to the engineer. Topology optimization, though well established in structural applications, has not percolated to the thermal-fluids community to any great degree, and most published papers have not addressed sufficiently realistic engineering problems. However, the methodology has immense application potential in the area of fluid flow, heat and mass transfer and other transport phenomena at all length scales. In the literature, the solution methodology used for topology optimization is based mostly on finite element methods. However, unstructured finite volume methods are frequently the numerical method of choice in the industry for those addressing thermal-fluid or other transport problems. It is essential that methods for topology optimization work well in the finite volume framework if they are to find traction in industry. Regardless of the numerical method employed for forward solution, the most popular methodology employed for topology optimization is the solid isotropic material with penalization (SIMP) approach in conjunction with a gradient-based optimization algorithm. This optimization approach requires the calculation of sensitivity derivatives of the QoI with respect to design variables through a discrete adjoint method. The Method of Moving Asymptotes (MMA) is a widely-used algorithm for topology optimization. Thus the objective of this dissertation is to build a robust framework for topology optimization for thermal-fluid problems, employing SIMP and MMA, within the framework of industry-standard finite volume schemes.Towards realizing this goal, we first develop and demonstrate topology optimization for multidimensional steady heat conduction problems in a cell-centered unstructured finite volume framework. The fundamental methodologies for SIMP/RAMP interpolation of thermal conductivity and the basic optimization infrastructure using MMA are developed and tested in this chapter. The effect of including secondary gradients in sensitivity computations is evaluated for typical heat conduction problems. Topologies that maximize or minimize relevant quantities of interest in heat conduction applications with and without volumetric heat generation are presented. Industry standard finite volume codes for fluid flow are built on unstructured cell-centered formulations employing co-located pressure-velocity storage, and a sequential solution algorithm. This type of algorithm is very widely used, but poses a number of difficulties when used as the solution kernel for performing efficient gradient-based topology optimization. The complete Jacobian required for discrete adjoint sensitivity computation is never available in a sequential technique. Also, the complexities of co-located algorithms must be correctly reflected in the Jacobian and sensitivity computations if correct optimal structures are to evolve. We build an Automatic Differentiation library, christened 'Rapid', to compute accurate Jacobians and other necessary derivatives for the discrete adjoint method in the context of an unstructured co-located sequential pressure based algorithm. The library is designed to provide a problem-agnostic pathway to automatically computing all required derivatives to machine accuracy. With sensitivities obtained from the Rapid library, we next develop and demonstrate topology optimization for multidimensional laminar flow applications. We present a variety of test cases involving internal channel flows as well as external flows, for a range of Reynolds numbers. An essential feature of Rapid is that it is not necessary to write new code to find sensitivities when new physics, such as turbulence models, are added, or when new cost functions are considered. The next step is therefore to extend the topology optimization for flow problems to the turbulent regime. Based on the Spalart-Allmaras RANS turbulence model, the topology optimization methodology for steady state turbulent flow problems is developed and demonstrated for channel flow problems. Finally we develop topology optimization methodology for forced convection applications which requires the coupling of the Navier-Stokes and energy equations and which are typically solved sequentially in finite volume schemes. The coupled nature of the problem introduces the concept of multi-objective opposing cost functions from the two physical models, for example, minimizing pressure drop and simultaneously maximizing heat transfer. Techniques to obtain sensitivities for forced convection with laminar and turbulent flow with Rapid are presented. Challenges for topology optimization resulting from multi-objective cost functions are discussed. We believe this is the first time that a complete topology optimization framework using an unstructured finite volume method and the discrete adjoint method, fully generalizable to practical use in commercial solvers and for industrial applications, has been demonstrated in the open literature. The methodologies developed here provide a basis for performing topology optimization involving other transport phenomena, more complex cost functions and more realistic constraints.

Download or read book Smooth Topological Design of Continuum Structures written by Bernard Rolfe and published by CRC Press. This book was released on 2025-01-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This presents a new topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT). It presents the basic theory of SEMDOT, explains its connections with the corresponding optimizers, and uses it to address the jagged edge problem facing classical topology optimization algorithms.