Research Catalog

Title

Optimization methods for engineering design [by] Richard L. Fox.

Author

Fox, Richard L.

Publication

Reading, Mass., Addison-Wesley Pub. Co. [1971]

Items in the Library & Off-site

Details

Description

xii, 270 pages illustrations; 25 cm.

Series Statement

Addison-Wesley series in mechanics and thermodynamics

Uniform Title

Addison-Wesley series in mechanics and thermodynamics.

Subject

• Engineering design
• Programming (Mathematics)
• Mathematical optimization
• Engineering design > Data processing
• Conception technique > Informatique
• Optimisation mathématique

Bibliography (note)

• Includes bibliographies.

Contents

1: Introduction to the formulation of optimization problems. Design variables -- Design constraints -- The objective function -- The design space -- The integrated problem statement. 2: Unconstrained minimization. Some properties of minima -- Grid and random methods -- Univariate methods -- Minimizing steps: quadratic interpolation -- The pattern move -- Powell's methods: conjugate directions -- Gradient methods: steepest descent -- Minimizing steps using slope information -- Fletcher and Reeves method: conjugate gradients -- Second-order methods: Newton's procedure -- Davidson-Fletcher-Powell method: the variable metric -- Choosing a method. 3: Constrained problems by unconstrained minimization. Some concepts in the constrained problem -- Elimination of constraints: transformations -- Motivation for the penalty functions -- An exterior, inequality penalty function -- An interior penalty function for parametric constraints -- Penalty functions for equality constraints. 4: Direct methods for constrained problems. LaGrange multipliers, Kuhn-Tucker conditions, and projections -- Methods of feasible directions -- The gradient projection method -- Linear programming -- A linear programming solution to the direction-finding problem of feasible directions. 5: Special techniques and applications. Special redesign directions for simplified analyses -- Some examples of rapid reanalysis methods -- Approximate analysis methods and optimization -- Derivatives of response quantities -- The discrete valued design variable -- Considerations in picking an approach and some final comments.

ISBN

• 0201020785
• 9780201020786

LCCN

78127891

OCLC

• ocm00150744
• 150744
• SCSB-9137368

Owning Institutions

Princeton University Library