International Research Journal of Engineering and Technology (IRJET)
e-ISSN: 2395-0056
Volume: 11 Issue: 04 | Apr 2024
p-ISSN: 2395-0072
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NURBS BASED ISOGEOMETRIC ANALYSIS TO PERFORM TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES USING EVOLUTIONARY ALGORITHMS Mr. Hitesh Devendra Bharti1, Er. Pradeep Ilamkar2, Prof. Kshitij Thate3 1M.Tech Computer Aided Structural Engineering Student WCEM, Nagpur 2Structural Engineering Consultant, Nagpur 3Asst. Professor, Dept. of civil Engineering WCEM, Nagpur
------------------------------------------------------------------------------***--------------------------------------------------------------------integrate geometry and analysis. The amalgamation of Abstract - This research paper provides a comprehensive literature review on the application of “Non-Uniform Rational B-Splines (NURBS)-based Isogeometric Analysis (IGA)” for topology optimization of continuum structures utilizing evolutionary algorithms. Topology optimization aims to determine the optimal distribution of materials within a given design domain to achieve desired performance criteria. Traditional finite element methods (FEM) have been widely used for structural analysis and optimization; however, they often suffer from geometrical inaccuracies owing to the need for mesh generation. Isogeometric Analysis, which employs NURBS to represent geometry and analysis fields, offers seamless integration of design and analysis. When coupled with evolutionary algorithms such as genetic algorithms (GA) and particle swarm optimization (PSO), it facilitates efficient and effective topology optimization. This paper reviews the theoretical background, computational techniques, recent advancements, and challenges associated with employing NURBS-based IGA and evolutionary algorithms for topology optimization of continuum structures.
NURBS-based IGA with evolutionary algorithms presents a potent framework for efficient and effective topology optimization, enabling exploration of intricate design spaces.
Keywords: Non-Uniform Rational B-Splines (NURBS),
3. LITERATURE REVIEW
2. OBJECTIVE OF STUDY I. Improving the productivity of the model with less time, effort and consumption using the proposed concept helps to improve the optimal solution. II. To improve the ability of the optimization process by using a metaheuristic algorithm called firefly algorithm to the proposed concept which improves input to the optimization process. III. To determine the nodal displacements of twodimensional plate carrying in-plane loading. IV. To Optimize the cross-section dimensions of the beam carrying transverse loading.
Isogeometric Analysis (IGA), Topology Optimization, Evolutionary Algorithms, Genetic Algorithms (GA), Continuum Structures, Finite Element Methods (FEM).
[1] Michael Kocvara approached “The structural optimization problem as a non-convex and nonlinear optimization challenge. Nonlinearity arises from equilibrium conditions contingent on displacement and thickness [52]”. The primary objective of this study is to reframe non-convex mixed-integer nonlinear problems into integer linear conic problems, employing semidefinite, binary/integer linear, or second-order cone formulations. Demonstrating the tractability of truss topology optimization problems using YALMIP software, renowned for its adeptness in modeling both convex and non-convex problems, this paper presents numerical findings across various example scenarios including cantilever beams, truss bridges, single mass, and multiple mass problems. Additionally, it showcases initial design
1. INTRODUCTION Topology optimization is a pivotal methodology in engineering design that, aims to determine the optimal distribution of materials within a designated design domain to fulfill prescribed performance criteria. While traditional finite element methods (FEM) have been the cornerstone of structural analysis and optimization, their reliance on mesh generation often introduces geometric inaccuracies. In response, Isogeometric Analysis (IGA) emerged as a transformative paradigm, leveraging NonUniform Rational B-Splines (NURBS) to seamlessly
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