1st Edition

Optimization of Finite Dimensional Structures

By Makoto Ohsaki Copyright 2011
    439 Pages 183 B/W Illustrations
    by CRC Press

    439 Pages 183 B/W Illustrations
    by CRC Press

    Originally developed for mechanical and aeronautical engineering, structural optimization is not so easily applied to civil and architectural engineering, as structures in these fields are not mass products, but more often unique structures planned in accordance with specific design requirements. The shape and geometry of such structures are determined by a designer or an architect in view of nonstructural performance that includes aesthetics. Until now, books in this area gave little help to engineers working in cooperation with designers, as they covered conceptual material with little consideration of civil engineering applications, or they required a solid background in applied mathematics and continuum mechanics, an area not usually studied by practicing engineers and students in civil engineering.

    Optimization of Finite Dimensional Structures introduces methodologies and applications that are closely related to design problems encountered in structural optimization, to serve as a bridge between the communities of structural optimization in mechanical engineering and the researchers and engineers in civil engineering. This unparalleled, self-contained work:

    • Provides readers with the basics of optimization of frame structures, such as trusses, building frames, and long-span structures, with descriptions of various applications to real-world problems
    • Summarizes the historical development of methodologies and theorems on optimization of frame structures
    • Introduces many recently developed highly efficient optimization techniques presented with illustrative examples
    • Describes traditional problems with constraints on limit loads, member stresses, compliance, and eigenvalues of vibration, all in detail
    • Offers a unique look at optimization results for spatial trusses and latticed domes

    Mathematical preliminaries and methodologies are summarized in the book’s appendix, so that readers can attend to the details when needed without having to wade through tedious mathematics in the explanatory main chapters. Instead, small examples that can be solved by hand or by using a simple program are presented in these chapters, making the book readily accessible and highly useful for both classroom use and professional self-study.

    Various Formulations of Structural Optimization
    Overview of structural optimization
    History of structural optimization
    Structural optimization problem
    Plastic design
    Stress constraints
    Fully-stressed design
    Optimality criteria approach
    Compliance constraint
    Frequency constraints
    Configuration optimization of trusses
    Multiobjective structural optimization
    Heuristic approach
    Simultaneous analysis and design
    Design Sensitivity Analysis
    Overview of design sensitivity analysis
    Static responses
    Eigenvalues of free vibration
    Linear buckling load
    Transient responses
    Nonlinear responses
    Shape sensitivity analysis of trusses
    Topology Optimization of Trusses
    Michell truss
    Topology optimization problem
    Optimization methods
    Stress constraints
    Mixed integer programming for topology optimization with discrete variables
    Genetic algorithm for truss topology optimization
    Random search method using exact reanalysis
    Multiple eigenvalue constraints
    Application of data mining
    Configuration Optimization of Trusses
    General formulation and methodologies of configuration optimization
    Generation of a link mechanism
    Optimization of Building Frames
    Overview of optimization of building frames
    Local and global searches of approximate optimal designs
    Parametric optimization of frames
    Local search for multiobjective optimization of frames
    Multiobjective seismic design of building frames
    Optimization of Spatial Trusses and Frames
    Seismic optimization of spatial trusses
    Heuristic approaches to optimization of a spatial frame
    Shape optimization considering the designer’s preference
    Shape optimization of a single-layer latticed shell
    Configuration optimization of an arch-type truss with local geometrical constraints
    Seismic design for spatially varying ground motions
    Substructure approach to seismic optimization
    Mathematical preliminaries
    Rayleigh’s principle
    Singular value decomposition
    Directional derivative and subgradient
    Optimization methods
    Single-point-search heuristics
    Multiobjective programming
    Constraint approach
    Linear weighted sum approach
    Goal programming
    Parametric structural optimization problem
    Bezier surface
    Adjoint curve
    Response spectrum approach
    CQC method
    Design response spectrum
    Sensitivity analysis of mean maximum response
    List of available standard sections of beams and columns


    Makoto Ohsaki