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Engineering Design Optimization

Engineering Design Optimization

Engineering Design Optimization

Joaquim R. R. A. Martins , University of Michigan, Ann Arbor
Andrew Ning , Brigham Young University, Utah
December 2021
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9781108988612

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    Based on course-tested material, this rigorous yet accessible graduate textbook covers both fundamental and advanced optimization theory and algorithms. It covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty, with instruction on how to determine which algorithm should be used for a given application. It also provides an overview of models and how to prepare them for use with numerical optimization, including derivative computation. Over 400 high-quality visualizations and numerous examples facilitate understanding of the theory, and practical tips address common issues encountered in practical engineering design optimization and how to address them. Numerous end-of-chapter homework problems, progressing in difficulty, help put knowledge into practice. Accompanied online by a solutions manual for instructors and source code for problems, this is ideal for a one- or two-semester graduate course on optimization in aerospace, civil, mechanical, electrical, and chemical engineering departments.

    • Hands on and applied applications related to aerospace, civil, mechanical, electrical, and chemical engineering.
    • Multidisciplinary approach.
    • Discusses the OpenMDAO framework an open-source high-performance computing platform for efficient optimization.
    • Covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty.
    • Includes over 400 high-quality visualizations and numerous examples.
    • Provides numerous end-of-chapter homework problems, progressing from easier problems through to open-ended problems, with a solutions manual online for instructors.

    Product details

    November 2021
    Hardback
    9781108833417
    650 pages
    253 × 194 × 28 mm
    1.5kg
    Available

    Table of Contents

    • 1. Introduction
    • 2. A short history of optimization
    • 3. Numerical models and solvers
    • 4. Unconstrained gradient-based optimization
    • 5. Constrained gradient-based optimization
    • 6. Computing derivatives
    • 7. Gradient-free optimization
    • 8. Discrete optimization
    • 9. Multiobjective optimization
    • 10. Surrogate-based optimization
    • 11. Convex optimization
    • 12. Optimization under uncertainity
    • 13. Multidisciplinary design optimization
    • A. Mathematics background
    • B. Linear solvers
    • C. Quasi-Newton methods
    • D. Test problems.
      Authors
    • Joaquim R. R. A. Martins , University of Michigan, Ann Arbor

      Joaquim R. R. A. Martins is a Professor of Aerospace Engineering at the University of Michigan. He is a fellow of the American Institute for Aeronautics and Astronautics, and the Royal Aeronautical Society.

    • Andrew Ning , Brigham Young University, Utah

      Andrew Ning is an Associate Professor of Mechanical Engineering at Brigham Young University, and has previously worked at the National Renewable Energy Laboratory (NREL) as a Senior Engineer.