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Advances in Multidisciplinary Design, Analysis and Optimization

Proceedings of the 6th National Conference on Advances in Multidisciplinary Design, Analysis and Optimization 2023

  • 2025
  • Book

About this book

This book contains select papers presented during the 6th National Conference on Multidisciplinary Analysis and Optimization. The book focuses on design and analysis as applicable to optimization of engineering systems in aerospace, mechanical, automotive, manufacturing, biomedical, and other domains. The book includes papers on the topics such as metamodeling or surrogate modeling, systems design and optimization, optimization and additive manufacturing, mixed integer and linear programming, multiscale and multiphysics problems, among others. The book can be a valuable reference for researchers and professionals interested in the field of optimization and its use in design for different applications.

Table of Contents

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  1. Frontmatter

  2. Basis Splines to Perform Isogeometric Topology Optimisation to Design the Outline of a Bridge Pier and Evaluate the Compliance-Based Performance Index

    K. N. V. Chandrasekhar, V. Bhikshma, B. Ramana Kumar, Gugilla Aruna, Bakka Ramya, Mamidi Sai Sagar, Ganta Pushpalatha, K. Jyothi
    This chapter delves into the innovative use of basis splines for isogeometric topology optimization, focusing on the design of a bridge pier. It begins with an introduction to the historical context of structural optimization, tracing the evolution from early discrete structure optimizations to modern continuum structure designs. The chapter highlights the computational challenges and advancements in topology optimization, particularly in the past three decades. The main focus is on using basis splines to model the geometry of a reinforced concrete bridge pier and applying isogeometric analysis to optimize material distribution. The methodology involves a two-stage process: static analysis to calculate stiffness matrices and force vectors, followed by sensitivity analysis to determine changes in compliance. The optimality criteria are used to iteratively refine the relative densities of each element until convergence is achieved. The chapter also reviews relevant literature, discussing various performance indices and optimization methods. A detailed case study of a bridge pier is presented, including the initial design domain, loading conditions, and material properties. The optimal material distribution is visualized, and the performance index based on compliance is calculated. The results are compared with existing literature, demonstrating the effectiveness of the proposed approach. The conclusion summarizes the application of basis splines in topology optimization, emphasizing the agreement of the calculated forces with established values and the practical implications for structural design.
  3. Topology Optimisation of Reinforced Concrete Structures Having Openings Using B-Splines

    K. N. V. Chandrasekhar, V. Bhikshma, B. Ramana Kumar, Gugilla Aruna, Bakka Ramya, Mamidi Sai Sagar, Ganta Pushpalatha, L. Jyothi
    This chapter explores the intricate process of topology optimization for reinforced concrete structures featuring openings, utilizing B-splines for precise modeling. The study focuses on deep beams with single and multiple openings, highlighting the challenges posed by tensile stresses and the need for optimal reinforcement layouts. Through a meticulous methodology, the chapter details the use of first-order basis splines and sensitivity analysis to determine the optimal distribution of material within the concrete domain. The analysis reveals significant reductions in compliance and performance indices, demonstrating the effectiveness of the proposed optimization techniques. The chapter presents detailed stress distributions, illustrating the compressive and tensile stresses at optimal convergence, and provides a comprehensive discussion on the structural performance of the optimized designs. The results offer valuable insights into the behavior of reinforced concrete structures under various loading conditions, making this chapter an essential read for those interested in advanced structural optimization and design.
  4. Topology Optimization of Metamaterials Using Functionally Graded Material

    U. Meenu Krishnan, Abhinav Gupta, Rajib Chowdhury
    This chapter investigates the cutting-edge intersection of topology optimization and functionally graded materials (FGMs) to engineer metamaterials with exceptional mechanical properties. It begins by highlighting the advantages of FGMs in mitigating interfacial stress concentrations, making them ideal for high-performance applications. The chapter then delves into the computational methods of topology optimization, focusing on the density-based method with the solid isotropic material with penalization (SIMP) approach. It explores the variational formulations used to predict the response of a given domain by minimizing the total potential energy, providing a robust framework for designing structures with optimal performance. A significant focus is placed on the design of metamaterials with a negative Poisson's ratio, known as auxetics, using FGMs. The chapter presents a comprehensive numerical study that implements the proposed topology optimization algorithm to create auxetic metamaterials, examining the influence of control parameters such as material gradient index and volume fraction on the properties and topologies of unit cells. The detailed analysis and innovative approach make this chapter a compelling read for those interested in pushing the boundaries of material science and structural engineering.
  5. Adaptive Topology Optimization in Fourth-Order Plate Bending Problems Using Isogeometric PHT-Splines

    Philip Luke Karuthedath, Abhinav Gupta, Bhagath Mamindlapelly, Rajib Chowdhury
    This chapter delves into the innovative use of isogeometric analysis (IGA) with Polynomial Splines over Hierarchical T-meshes (PHT-splines) to address the challenges in topology optimization (TO) of plate structures. The study focuses on the Kirchhoff-Love plate formulation, which requires higher continuity and accuracy that classical finite element methods struggle to provide. By employing PHT-splines, the research introduces an adaptive mesh refinement (AMR) strategy that balances computational efficiency and solution accuracy. This approach allows for localized refinement, enhancing the resolution of solid-void boundaries and ensuring smooth, feasible topologies. The chapter presents a detailed methodology, including the weak form derivation of the plate formulation and the implementation of the SIMP approach for material distribution. Numerical examples, such as the clamped square plate and cantilever plate problems, demonstrate the efficacy of the proposed method. The results showcase significant reductions in degrees-of-freedom compared to globally refined strategies, highlighting the computational advantages and improved design outcomes achieved through this novel framework.
  6. A Coupled Fluid-Structural Solver

    Akshay Prakash, Mohammad Rabius Sunny, Kavi Pradhap, Kushan Verma, D. K. Maiti, Dibya Ranjan Sahoo, P. C. Jain
    The chapter investigates the critical interplay between fluid dynamics and structural mechanics in various aerospace applications, emphasizing the need for coupled solutions to optimize performance. It highlights the importance of time-dependent fluid flow parameters in reentry flows, cooling mechanisms in jet exhaust CD nozzles, and the optimization of turbine blades in jet engines. The text delves into the challenges of aerodynamic flutter, requiring simultaneous computation of fluid and structural solutions, and the impact of high-speed flows on aero heating. The governing equations and numerical methods are thoroughly discussed, including the use of the compressible Navier–Stokes equations and the finite element formulation for structural analysis. Two immersed boundary methods are implemented and tested: the sharp interface method using ghost points and the diffused interface method using source terms. The chapter provides a detailed comparison of these methods, showcasing their advantages in handling moving boundary problems. Validation studies against established benchmarks, such as shock standoff distance and pressure coefficient over a cylinder, demonstrate the accuracy and reliability of the proposed methods. The chapter also presents coupled fluid–structure simulations of a slender object, illustrating the dynamic interaction between aerodynamic loading and structural deformation. The results highlight the potential for optimizing aerodynamic and structural designs through coupled solutions, offering valuable insights for advanced research and development in the field.
  7. Data-Driven Model of Thomson Coil Using Dimensionless Parameters

    Vishakha Harlapur, Salil Kulkarni
    This chapter investigates the behavior of Thomson coils, which are crucial for high-speed operations in various applications such as circuit protection devices, mechanical switches, and robotic actuators. The study focuses on the multi-physics interactions within Thomson coils, including electrical circuits, electromagnetic fields, and structural mechanics, to understand the dynamics of these systems comprehensively. A significant contribution of this work is the development of a data-driven model using dimensionless parameters derived from the Buckingham Pi theorem. This approach reduces the number of independent variables and avoids dimensional inconsistencies, making the modeling process more efficient. The chapter details the use of finite element simulations and advanced regression techniques, including ensemble learning, to predict the stroke length of the Thomson coil actuator at specified times. The results highlight the sensitivity of the coil's displacement to various design parameters, such as voltage and capacitance, and demonstrate the effectiveness of the data-driven models in optimizing the design of Thomson coils for high-speed applications. The chapter concludes with insights into future work, including sensitivity analysis and optimization studies, to further enhance the performance and reliability of Thomson coil actuators.
  8. Multi-disciplinary Design Optimization of Conceptual Design of Hybrid Drone Using Evolutionary Algorithm

    C. Shraddha, Pankaj Priyadarshi
    The chapter delves into the multi-disciplinary design optimization (MDO) of a hybrid drone tailored for the DroneNet technology, which focuses on the autonomous mid-air recovery of launch vehicle spent stages. The hybrid drone's design is optimized using an in-house developed Attractor Anchored Multi Objective Evolutionary Algorithm, addressing multiple disciplines such as geometry, aerodynamics, propulsion, flight mechanics, and stability. The mission profile includes vertical take-off, stage capture, and landing, with horizontal flight modes for other segments. Parametric multi-disciplinary design analysis (MDA) is conducted to evaluate the impact of various design variables on take-off weight and other flight vehicle characteristics. The study explores different configurations of the staggered biplane hybrid drone, optimizing objectives such as maximizing endurance, range, and payload while minimizing weight. The MDO framework integrates modules for geometry, aerodynamics, propulsion, mission design, structures, weight estimation, and stability, ensuring a balanced and efficient design. The results highlight the effects of geometry and mission-related parameters on vehicle and flight characteristics, providing valuable insights into the optimization of hybrid drone designs for complex mission profiles.
  9. Analyzing Aeroelastic Wing Flutter: Trends in Eigenvalues and System Speeds for Improved Aircraft Design and Safety

    N. Akshayraj, B. V. N. Ramakumar
    This chapter provides an in-depth exploration of aeroelastic wing flutter, a critical phenomenon in aircraft design that can lead to catastrophic structural failure if not properly addressed. The text begins by discussing the fundamental concepts of flutter, including classical binary flutter and the interaction of multiple modes of vibration. It introduces a simplified binary flutter model using strip theory and unsteady aerodynamic terms, which serves as a tool to analyze the dynamics of aeroelastic systems. The chapter delves into the influence of various parameters, such as the position of the elastic axis, mass distribution, and frequency spacing between modes, on the system's behavior. It also examines methods for determining critical flutter speeds and associated frequencies, emphasizing the importance of incorporating unsteady aerodynamic effects for accurate predictions. The chapter presents a detailed analysis of frequency and damping trends under different aerodynamic conditions, highlighting the transition from stable to unstable states. Through the use of MATLAB simulations and eigenvalue solutions, the text provides a comprehensive understanding of flutter dynamics and offers valuable insights for enhancing aircraft design and safety. The exploration of both zero aerodynamic damping and unsteady aerodynamic conditions, along with the validation of results against reference literature, makes this chapter a significant contribution to the field of aeroelasticity.
  10. Development of a Hybrid BCGA Tuner for Artificial Neural Network in Assessing the Performance of Electromagnetic Forming and Perforation (EMFP) of Al6061–T6 Tube

    Avinash Chetry, Arup Nandy
    This chapter delves into the complexities of electromagnetic forming and perforation (EMFP) of Al6061–T6 tubes, a process that offers a viable alternative to conventional methods plagued by burrs and slivers. The study introduces a hybrid Binary-Coded Genetic Algorithm–Artificial Neural Network (BCGA–ANN) model to tackle the non-linear mapping between input features and tube thickness reduction, a challenge that has hindered the widespread adoption of EMFP. The chapter presents a comprehensive methodology that includes a shallow ANN learning algorithm, genetic algorithms for hyperparameter tuning, and a coupled simulation for validation. It compares the effectiveness of grid search and genetic algorithms in optimizing the ANN architecture, highlighting the superior performance of the genetic algorithm in terms of mean squared error, root mean squared error, mean absolute error, and R-squared scores. The chapter also discusses the working principle of EMFP, the numerical simulation model, and the dataset used for evaluation. It concludes with a validation of the hybrid BCGA–ANN model, demonstrating its accuracy in predicting tube thickness reduction and its potential for process optimization and expanded applicability of multi-point EMFP.
  11. Transient Analyses of Shape Memory Alloy Structures

    Animesh Kundu, Atanu Banerjee
    Shape Memory Alloys (SMAs) have garnered significant attention due to their unique properties, namely pseudoelasticity and the shape memory effect, which enable large strain recovery and intrinsic dissipation capabilities. This chapter presents a detailed exploration of the dynamic behavior of SMA structures, focusing on transient analyses and advanced finite element modeling. It begins by summarizing the captivating characteristics of SMAs and their extensive applications in various engineering fields, from civil and aerospace to biomedical and automotive. The chapter then delves into the development of constitutive models that capture the thermomechanical behavior of SMAs, highlighting contributions from key researchers in the field. A comprehensive finite element framework is established, employing a composite time integration approach and the Lagoudas SMA constitutive model. The framework is applied to predict the free vibration response of a shape memory alloy cantilever beam, demonstrating the intrinsic damping properties of SMAs and their potential for vibration reduction. The chapter concludes with a discussion on the quantification of damping using the logarithmic decrement method, providing valuable insights into the dynamic behavior of SMA structures and their practical applications.
  12. Application of Multi-optimization Techniques on Transmission Components

    Prudhvi Raj, Yogesh S. Bhalekar, Vipin Rane
    This chapter presents a comprehensive exploration of multi-optimization techniques applied to transmission components, focusing on topology and topography optimization. The study begins by defining optimization in both mathematical and engineering contexts, setting the stage for an in-depth analysis of size, shape, and topology optimization methods. Topology optimization is highlighted for its ability to determine optimal material distribution within a given design space, utilizing algorithms like the method of moving asymptotes (MMA) to achieve smooth convergence and handle multiple constraints. The chapter then delves into topography optimization, a specialized form of shape optimization that involves small, controlled movements of nodes in a finite element mesh to refine material distribution and reduce stress. The practical applications of these techniques are illustrated through case studies, such as improving the structural performance of automotive body structures and optimizing transmission components. The chapter also addresses the limitations of individual optimization methods and introduces a combined approach that integrates topology and topography optimization. This hybrid method is demonstrated to effectively reduce stress, enhance stiffness, and meet assembly and manufacturing constraints, ultimately leading to a significant improvement in the fatigue life of transmission components. The detailed analysis and innovative solutions presented in this chapter make it an essential read for those interested in advanced optimization techniques and their practical applications in component design.
  13. Stress-Driven Topology Optimization Based Design of Auxetic Microstructure

    Anurag Gupta, U. Meenu Krishnan, Abhinav Gupta, Rajib Chowdhury
    The pursuit of exceptional material properties through meticulously designed mechanical metamaterials has been a focal point in recent research. Among these, auxetic materials, characterized by their negative Poisson's ratio, have garnered significant attention due to their unique mechanical advantages, such as enhanced shear resistance and indentation resistance. Traditional design approaches for auxetic microstructures have been limited by intuitive methods, but the advent of topology optimization (TO) has expanded the design possibilities. This chapter introduces an innovative energy-based stress-constrained optimization framework that addresses the critical issue of stress concentrations in auxetic microstructures. By integrating stress criteria into the TO process, the framework aims to optimize target material properties while ensuring that local stresses remain below predefined thresholds. The design methodology employs homogenization theory to predict the overall properties of macrostructures with periodic microstructures, utilizing an energy-based homogenization scheme. The von Mises stress is formulated to establish a topology optimization problem with both volume and stress constraints. Numerical studies demonstrate the effectiveness of this approach, showcasing the density layout and stress contours of optimized unit cells. The results highlight the absence of stress concentration regions when stress constraints are incorporated, underscoring the practical applicability and enhanced performance of auxetic materials in various engineering applications.
  14. Linear and Non-linear Reduced Order Model of Scramjet

    Arun Govind Neelan
    This chapter investigates the application of reduced order modeling (ROM) techniques to enhance the simulation of scramjet engines, focusing on both linear and non-linear approaches. The study highlights the significant advantages of ROM, including substantial reductions in computational costs and memory requirements, as well as the ability to perform real-time simulations and parametric studies. The chapter delves into two prominent linear ROM methods: Proper Orthogonal Decomposition (POD) and Dynamic Mode Decomposition (DMD). POD is shown to effectively capture over 99% of the energy within the first mode, enabling significant data compression and accurate velocity data reconstruction. In contrast, DMD, while useful for linear and periodic systems, struggles with non-periodic flows, as evidenced by the distributed energy across multiple modes. The chapter also explores the use of Artificial Neural Networks (ANN) as a non-linear ROM approach, demonstrating its potential for handling complex flow conditions and optimization tasks. The ANN-based model, despite being computationally more intensive, offers versatility and efficiency in dealing with varied flow scenarios. The comparative analysis of computational times reveals that while linear methods are more efficient for single-flow conditions, ANN-based models provide a robust solution for multi-flow conditions and optimization. The chapter concludes with a detailed examination of the strengths and limitations of each method, providing valuable insights for researchers and engineers seeking to optimize scramjet simulations and enhance their understanding of complex fluid dynamics.
  15. Comparison Study of FEM and IGA Based Topology Optimization Methods for Elastic Structures

    Tejdeep Ganekanti, Umesh Mishra, Atanu Banerjee
    This chapter presents a meticulous comparison between Finite Element Method (FEM) and Isogeometric Analysis (IGA) in the context of topology optimization for elastic structures. The study focuses on minimizing compliance under volume constraints, utilizing density-based Solid Isotropic Material with Penalization (SIMP) approach. The chapter begins by outlining the fundamental principles of topology optimization, distinguishing between density-based Material Description Models (MDMs) and Boundary Description Models (BDMs). It delves into the implementation of FEM and IGA, highlighting the numerical deficiencies of FEM, such as checkerboard patterns, and the advantages of IGA in terms of accuracy and reduced degrees of freedom. The chapter provides an in-depth analysis of the Density Distribution Function (DDF) and its role in achieving smooth nodal densities. It then presents a series of case studies, including a cantilever beam, L-beam, and quarter annulus, each subjected to different loading conditions. The results demonstrate that IGA-based topology optimization yields better objective functions and smoother topologies compared to FEM, while also significantly reducing computational time. The convergence studies and optimized topologies illustrated in the chapter offer a compelling argument for the superiority of IGA in structural optimization tasks. The findings underscore the potential of IGA to revolutionize the design process by providing more efficient and accurate solutions.
  16. Optimization of the Bypass Duct Shape for the Effective Icing Air Flow to the Turboprop Engine Using Numerical Method

    C. A. Vinay, S. Allwin, K. Sai Ujjwala
    The chapter explores the critical role of bypass duct design in enhancing the performance and safety of turboprop engines, particularly in managing icing particles. Through the use of computational fluid dynamics (CFD) analysis with Ansys software, the study visualizes flow parameters and evaluates the impact of design modifications on a light transport aircraft. A key focus is the optimization of the bypass ratio, which is pivotal in balancing engine efficiency and power output. The research conducts a comprehensive CFD analysis under various operating conditions, revealing significant improvements in engine performance by reducing the bypass ratio. The chapter also discusses the geometry and sizing of the bypass duct, ensuring optimal airflow and pressure recovery. Detailed contour plots and velocity vectors illustrate the flow behavior within the nacelle, highlighting the effectiveness of the modified designs. The findings underscore the importance of bypass duct optimization in enhancing fuel efficiency, reliability, and safety, providing valuable insights for designers and engineers.
  17. Unmanned Aerial Vehicle (UAV) with Heavy Payload Capacity and Enhanced Stability

    K. Raghav, T. Karthik, S Sripad Kulkarni, H. G. Prashantha Kumar
    This chapter explores the intricacies of designing and building a quadcopter with a heavy payload capacity and enhanced stability. It begins with an introduction to quadcopters, highlighting their versatility and the basic principles of their operation. The literature review delves into various studies and advancements in quadcopter technology, focusing on structural analysis, navigation, and autonomous flight. The methodology section provides a detailed, step-by-step guide to fabricating a quadcopter, from frame and motor selection to component integration and testing. Key components such as the Pixhawk flight controller, GPS module, and telemetry kit are discussed in depth, emphasizing their roles in achieving precise flight control and stability. The chapter also includes a comprehensive weight estimation and thrust calculation, crucial for understanding the quadcopter's performance capabilities. Results from test flights demonstrate the quadcopter's ability to handle heavy payloads and navigate autonomously, showcasing its potential for diverse applications. The discussion highlights the advantages of using advanced components and suggests future works to further enhance the quadcopter's capabilities. Overall, this chapter offers a thorough and practical guide to building and optimizing a high-performance quadcopter, making it an essential read for anyone interested in aerial robotics.
  18. Economic Optimization of Silicon Carbide Insulation for Orbiter Re-entry

    Abhishek V. Upadhye, G. S. Kamble, K. D. Joshi
    The chapter investigates the economic optimization of insulation materials crucial for spacecraft re-entry, focusing on the thermal and economic analysis of silicon carbide (SiC) foam. It begins by outlining the extreme conditions faced during re-entry, where surface temperatures can reach up to 1650°C, necessitating advanced thermal shields. The study emphasizes the importance of optimizing insulation systems to balance thermal performance, volume, size, weight, and cost. It introduces the use of open-cell sandwich-type materials with SiC foam, which provides both conductive and convective resistance to heat flow. The methodology involves a detailed finite element analysis (FEA) to determine the optimal thickness of SiC insulation, ensuring an ambient temperature of 25°C for human comfort and electronic functionality. The analysis includes varying the thickness of silicon (Si) sheets and SiC foam to find the most cost-effective configuration. The results demonstrate a significant reduction in both cost and mass compared to conventional thermal protection systems, with a direct cost reduction of 2.57% and a mass reduction of 29.18%. The study validates its findings through ANSYS simulation, confirming the accuracy and reliability of the FEA approach. The chapter concludes by highlighting the potential of SiC-based insulation systems to simplify the design process and provide an economically optimal solution for spacecraft thermal protection.
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Title
Advances in Multidisciplinary Design, Analysis and Optimization
Editors
Deepak Sharma
Sachin Singh Gautam
Tapan K. Mankodi
Ujjwal K. Saha
Copyright Year
2025
Publisher
Springer Nature Singapore
Electronic ISBN
978-981-9611-58-4
Print ISBN
978-981-9611-57-7
DOI
https://doi.org/10.1007/978-981-96-1158-4

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