Optimization of Finite Dimensional Structures: 1st Edition (Paperback) book cover

Optimization of Finite Dimensional Structures

1st Edition

By Makoto Ohsaki

CRC Press

439 pages | 183 B/W Illus.

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Description

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.

Table of Contents

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

Introduction

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

Introduction

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

Introduction

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

Appendix

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

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
TEC009020
TECHNOLOGY & ENGINEERING / Civil / General