To this end, the aggregated pnorm global stress measure is first adopted to approximate the maximum stress. This research presents a topology optimization approach based on bi directional evolutionary structural optimization beso for optimal design of compliant mechanisms. In the new beso method, the adding and removing of material is controlled by a single parameter, i. May 02, 2012 topology optimization of geometrically nonlinear structures using an evolutionary optimization method 19 january 2018 engineering optimization, vol. The evolutionary structural optimization eso method evolves a structure from the full design domain towards an optimum by gradually removing inefficient material. Among all its variants, the convergent and meshindependent bidirectional evolutionary structural optimization beso method. It is an extension of the systematic\ud research on the evolutionary method. Multiobjective and multiphysics topology optimization. At last, traditional bidirectional evolutionary structural optimization is modified to optimize distribution of lattice struts thickness. An application of bidirectional evolutionary structural. The corresponding twolevel optimization procedure combining beso and ga is summarized.
The extension of bi directional evolutionary optimization method for multimaterial structures is proposed by huang and xie 14. One of the last major development of the eso method is the proposition of the convergent and meshindependent beso method by huang and xie 48, which has incor. There is a lot of literature concerning the topology optimization of structures under static loads with the bi directional evolutionary structural optimization beso, but only few approaches has focus on the dynamics problems with the beso. These findings demonstrate the potential for significant design efficiencies when manufacturing using additive manufacturing approaches but also the need to be aware of the sensitivity of the bidirectional evolutionary structural optimization optimized design on the selected optimization parameters. The effects of bidirectional evolutionary structural. Acknowledgements this thesis is a result of m y work over the past 18 months with help from many people. The acoustic medium is governed by helmholtz equation and. Pdf bidirectional evolutionary topology optimization using.
This paper deals with topology optimization of composite structure using bi directional evolutional structural optimization beso method. Jul 15, 2008 there are several wellestablished techniques for the generation of solidvoid optimal topologies such as solid isotropic material with penalization simp method and evolutionary structural optimization eso and its later version bi directional eso beso methods. Bidirectional evolutionary structural optimization of brake. This paper presents a particular application of the beso method to optimise the energy absorbing capability of metallic structures.
Computational efficiency and validation of bidirectional evolutionary structural optimization j. A new interpretation of this method is presented in which the method is viewed as a twostep procedure. Multiobjective optimization of web profile of railway wheel. Using an extended bidirectional evolutionary structural optimization beso method, the designdependent pressure loads are modelled in a straightforward manner without any need for pressure. Bi directional evolutionary structural optimization beso is an extension of eso. An ea uses mechanisms inspired by biological evolution, such as reproduction, mutation, recombination, and selection. Based on this interpretation, a simple heuristic improvement technique is introduced to improve beso results. This paper proposes a new bi directional evolutionary structural optimization beso method with draw direction constraints. Among all its variants, the convergent and meshindependent bidirectional evolutionary structural optimization beso method developed by huang and xie 2007, 48 allowing both material. Bidirectional evolutionary method for stiffness optimization. The bidirectional eso beso may start from any initial design and evolve a structure to an optimum by adding and removing material simultaneously. The initial research on beso for stiffness optimization was conducted by yang et al.
Directional evolutionary structural optimization method. Computer methods in applied mechanics and engineering, 189 2000 559573. Bidirectional evolutionary topology optimization of. Topology optimization for vibrating structures with the. Isogeometric analysis iga, due to its high efficiency and accuracy, can be replaced by the conventional finite element method in the topology optimizations tos. It is an extension of the systematic research on the evolutionary method. The eso method was originally proposed by xie and steven 1993 to obtain the optimum shape and topology of continuum structures. The bidirectional eso method beso is a further development of the eso method that is developed based on the idea of adding the efficient materials to the structure as. Bidirectional evolutionary topology optimization using element replaceable method article pdf available in computational mechanics 401.
Bidirectional evolutionary structural optimization beso for topology optimization of materials microstructure a thesis submitted in fulfilment of the requirements for the degree of doctor of philosophy arash radman b. May 17, 2012 bi directional evolutionary topology optimization using element replaceable method 10 june 2006 computational mechanics, vol. Topology optimizations are achieved for deck arch bridges with different risetospan ratios, halfthrough arch bridge, through tied arch bridge, bridge pier and bridge main beam. This paper presents a topology optimization method for dynamic problems with an improved bidirectional evolutionary structural optimization beso technique. The sensitivity derivation for the frequency optimization problem in the case of multiple eigenvalues and for the stiffnessfrequency optimization problem is proposed. Bidirectional evolutionary topology optimization for. There is a lot of literature concerning the topology optimization of structures under static loads with the bidirectional evolutionary structural optimization beso, but only few approaches has focus on the dynamics problems with the beso. There are several wellestablished techniques for the generation of solidvoid optimal topologies such as solid isotropic material with penalization simp method and evolutionary structural optimization eso and its later version bidirectional eso beso methods. Finally, with the use of the bidirectional evolutionary structural optimization method, the optimum design of the wing crosssection was determined by topology optimization method.
Numerous authors 70 have demonstrated the success of levelset methods. Bidirectional evolutionary method for stiffness and. It was programmed in ansysscript and executed in finite element program ansys 11. Structural optimization of hatch cover based on bidirectional evolutionary structure optimization and surrogate model method 10 august 2018 journal of shanghai jiaotong university science, vol. Since the eso method was first introduced by xie and steven in 1992 and the publication of their wellknown book evolutionary structural optimization. This work proposes an evolutionary topology optimization method for stress minimization design using the bidirectional evolutionary structural optimization beso method. T1 bi directional evolutionary topology optimization for multiphysics problems with frequency response minimization jo blucher mechanical engineering proceedings vl 1 is 1 sp 4846 ep 4861 py 2014 t2 10th world congress on computational mechanics au w. Bidirectional evolutionary structural optimization beso is an extension of eso. This work proposes an evolutionary topology optimization method for stress minimization design using the bi directional evolutionary structural optimization beso method.
This thesis presents a method for structural optimisation called bidirectional evolutionary structural optimisation beso. Multiphysics bi directional evolutionary topology optimization on gpuarchitecture david j. Apr 16, 2015 this algorithm removes inefficiently used material based on strain energy. This thesis presents a method for structural optimisation called bi directional evolutionary structural optimisatio beson i.
Structuraldesignofstampingdiecomponentsusingbidirectional. 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. Bidirectional evolutionary structural optimization beso. The main goal is to find the best configuration of barriers inside acoustic mufflers used in the automotive industry that reduces sound pressure level in the outlet of the muffler. Zuob aschool of aerospace, mechanical and manufacturing engineering, rmit. Beso method based on discrete variables can effectively avoid the wellknown singularity problem in densitybased methods with low density elements. In artificial intelligence ai, an evolutionary algorithm ea is a subset of evolutionary computation, a generic populationbased metaheuristic optimization algorithm. Candidate solutions to the optimization problem play the role of individuals in a. By redefining the criteria of the optimization evolution progress, the proposed method is able to extend current beso method from isotropic material to anisotropic composite material. An improvement technique for bidirectional evolutionary. Topology optimization level set method, phase field method. An isogeometric approach to topology optimization of multi. Multiphysics bidirectional evolutionary topology optimization on gpuarchitecture david j. A new err and strategy for bidirectional evolutionary.
Bidirectional evolutionary level set method for topology. Pdf a bidirectional evolutionary topology optimization. Due to the complexity of the design for various compliant mechanisms, a new multiobjective optimization model is established by considering the mechanism flexibility and. In this paper, we present an efficient isogeometric to method based on the scheme of bi directional evolutionary structural optimization beso.
The design method proposed in this paper is validated through a case study, and provides an important foundation for the wide adoption of additive manufacturing technologies in the industry. This thesis presents a method for structural optimisation called bidirectional evolutionary structural optimisatio beson i. The evolutionary structural optimization eso method is based on the concept of gradually removing unnecessary or inefficientgradually removing unnecessary or inefficient material from a structure to achieve an optimal design. In this paper, a new algorithm for bi directional evolutionary structural optimization beso is proposed. Jun 23, 2016 using an extended bi directional evolutionary structural optimization beso method, the designdependent pressure loads are modelled in a straightforward manner without any need for pressure. Pdf advantages of bidirectional evolutionary structural.
Apr 16, 2010 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. School of civil, environmental and chemical engineering, rmit university, australia. Advantages of bidirectional evolutionary structural optimization beso over evolutionary structural optimization eso. Since the eso method was first introduced by xie and steven in 1992 and the publication of their wellknown book evolutionary structural optimization in. Pdf bidirectional evolutionary topology optimization. An extended bidirectional evolutionary structural optimization beso method is adopted in this paper. Normal constraint method is combined with a bidirectional evolutionary structural optimization sncbeso algorithm to produce smart pareto sets for multiobjective topology optimization problems. The optimisation objective is to evolve a structural geometry of minimum mass. Among various numerical methods for topology optimization, evolutionary structural optimization eso and bidirectional evolutionary structural optimization beso have been extensively investigated by many researchers around the world. The discrete nature of the beso method avoids naturally the wellknown singularity problem in densitybased methods with degenerated materials. The convergence of the iteration is determined by a performance index of the structure. Topology optimization for vibrating structures with the beso.
This thesis presents a method for structural optimisation called bi directional \ud evolutionary structural optimisation beso. The proposed method has three main advantages over the standard level set method. Multiobjective optimization of web profile of railway wheel using bi directional evolutionary structural optimization. Pdf convergent and meshindependent solutions for the bi. Journal of computational applied mechanics, 48, 2, 2017, 307318. A bidirectional evolutionary level set method for solving topology optimization problems is presented in this article. This package implements abaqus software and uses the bidirectional evolutionary structural optimization beso method to create a new lighter structure which resembles the shape of the sheet metal part and applied forces in the operation. Bidirectional evolutionary structural optimization on advanced structures and materials. Bidirectional evolutionary optimization beso of truss non. Bi directional evolutionary structural optimisation beso method is now a wellknown and popular method in topology optimisation.
School of civil, environmental and chemical engineering college of science, engineering and health rmit university. Bidirectional evolutionary optimization beso of truss. Ultimately, the restricting factor is the computational ex. Draw direction constraints, defined by required manufacturing process, are achieved by modifying element removaladdition criteria such that elements are removed from the top surface of the draw direction to the inner design domain. Due to the discrete nature of the method, the problem is solved without any need of pressure load surfaces parametrization. Among all its variants, the convergent and meshindependent bidirectional evolutionary structural optimization beso method developed by huang and xie finite elem anal. Bidirectional evolutionary structural optimization on. Bidirectional evolutionary structural optimization for. The bidirectional evolutionary structural optimisation beso method is a numerical topology optimisation method developed for use in finite element analysis. Utilizing the material interpolation scheme, a new beso method with a penalization. The basic concept of evolutionary structural optimisation eso is that by slowly removing the inefficient material, the structure.
Finally, with the use of the bidirectional evolutionary structural optimization method, the optimum design of the wing crosssection was determined by topology optimization method to pursue the. This paper proposes a new bidirectional evolutionary structural optimization beso method with draw direction constraints. Through this process, the resulting structure will. This article proposes an acoustic muffler design procedure based on finite element models and a bi directional evolutionary acoustic topology optimization. Multiobjective and multiphysics topology optimization using. This research presents a topology optimization approach based on bidirectional evolutionary structural optimization beso for optimal design of compliant mechanisms.
The basic concept of evolutionary structural optimisation eso is that by slowly removing the inefficient material, the structure evolves towards. The bi directional eso beso may start from any initial design and evolve a structure to an optimum by adding and removing material simultaneously. In their study, the sensitivity numbers of the void elements are. Stressbased topology optimization using bidirectional. In this method, inefficient material is slowly removed from the design domain. The twelfth east asiapacific conference on structural engineering and construction topology optimization of composite structure using bi directional evolutionary structural optimization method x. Bidirectional evolutionary structural optimisation beso method is now a wellknown and popular method in topology optimisation. Bidirectional evolutionary structural optimization of. Topology optimization of reactive acoustic mufflers using. A program based on beso is introduced in conceptual bridge design. This article proposes an acoustic muffler design procedure based on finite element models and a bidirectional evolutionary acoustic topology optimization.
Due to the complexity of the design for various compliant mechanisms, a new multiobjective optimization model is established by considering the mechanism flexibility and structural stiffness. Perimeter control in the bidirectional evolutionary. The principle and procedure of bidirectional evolutionary structural optimization beso are stated in detail. Evolutionary topology optimization of continuum structures.
Two examples are presented, showing that the pareto solutions found by the sncbeso method make up a smart pareto set. I wish to express m y deepest gratitude to m y supervisor, assoc. Bidirectional evolutionary structural optimization in. Topology optimization of reactive acoustic mufflers using a. First, new holes can be automatically generated in the design domain during the optimization process. Evolutionary structural optimization eso bi directional evolutionary structural optimization beso 3. Advantages of bidirectional evolutionary structural. Bidirectional evolutionary structural optimization method. A new algorithm for bidirectional evolutionary structural. Convergent and meshindependent solutions for the bi. Bidirectional evolutionary structural optimization beso is an extension of eso which allows for efficient materials to be added to the structure at the same time as the inefficient ones to be removed. 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 bidirectional eso beso methods.
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