This paper reviews the basic approximation concepts used in structural optimization. It also
discusses some of the most recent developments in that area since the introduction of …

A new and powerful mathematical programming method is described, which is capable of
solving a broad class of structural optimization problems. The method employs mixed …

A new method for solving structural optimization problems using a local function
approximation algorithm is proposed. This new algorithm, called the Generalized Convex …

This book summarizes advances in a number of fundamental areas of optimization with
application in engineering design. The selection of the'best'or'optimum'design has long …

The present paper presents a framework for solving dynamic reliability–based design
optimization (DRBDO) problems. The proposed approach is based on a sequential …

This paper examines various first order approximation methods commonly used in structural
optimization. It considers several attempts at improving the approximation by using previous …

A state-of-the-art review of recent developments in the area of numerical structural
optimization over a period of approximately five years, 1980–1984, is presented. Recent …

Shape optimal design is the synthesis of structural analysis and mathematical programming
combined with computer aided geometric design (CAGD) concepts and behavior sensitivity …

Fuzzy probability offers a framework for taking into account the effects of both aleatoric and
epistemic uncertainty on the performance of a system, quantifying its level of safety, for …

We present an incomplete series expansion (ISE) as a basis for function approximation. The
ISE is expressed in terms of an approximate Hessian matrix, which may contain second …