Structural optimization: a review and some recommendations
VB Venkayya - International Journal for Numerical Methods in …, 1978 - Wiley Online Library
A brief review of the structural optimization literature and a description of the present status
of optimization methods are presented. The scope of the review is limited and does not …
of optimization methods are presented. The scope of the review is limited and does not …
A two-stage feasible directions algorithm for nonlinear constrained optimization
J Herskovits - Mathematical Programming, 1986 - Springer
We present a feasible directions algorithm, based on Lagrangian concepts, for the solution
of the nonlinear programming problem with equality and inequality constraints. At each …
of the nonlinear programming problem with equality and inequality constraints. At each …
A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties
AL Tits, A Wächter, S Bakhtiari, TJ Urban… - SIAM Journal on …, 2003 - SIAM
An exact-penalty-function-based scheme---inspired from an old idea due to Mayne and
Polak [Math. Program., 11 (1976), pp. 67--80]---is proposed for extending to general smooth …
Polak [Math. Program., 11 (1976), pp. 67--80]---is proposed for extending to general smooth …
Implementation of natural frequency analysis and optimality criterion design
R Levy, K Chai - Computers & Structures, 1979 - Elsevier
A review of methods to compute the lower-frequency modes within a medium-to large-
capacity computer design program indicates advantages for the simultaneous iteration …
capacity computer design program indicates advantages for the simultaneous iteration …
[图书][B] A simple, quadratically convergent interior point algorithm for linear programming and convex quadratic programming
AL Tits, JL Zhou - 1994 - Springer
An algorithm for linear programming (LP) and convex quadratic programming (CQP) is
proposed, based on an interior point iteration introduced more than ten years ago by J …
proposed, based on an interior point iteration introduced more than ten years ago by J …
On the optimization of discrete structures with aeroelastic constraints
SC McIntosh Jr, H Ashley - Computers & Structures, 1978 - Elsevier
It is observed that modern optimal design of structures represents a confluence of two
streams of theoretical development: Matric finite element approximation on the digital …
streams of theoretical development: Matric finite element approximation on the digital …
Optimality Criteria Solution Strategies in Multiple-Constraint Design Optimization
R Levy, W Parzynski - AIAA Journal, 1982 - arc.aiaa.org
Procedures and solution strategies to solye the conventional structural optimization problem
using the Lagrange multiplier technique are described. The multipliers, obtained through …
using the Lagrange multiplier technique are described. The multipliers, obtained through …
An optimality criterion method for structures with stress, displacement and frequency constraints
A Zacharopoulos, KD Willmert, MR Khan - Computers & structures, 1984 - Elsevier
Presented in this paper is a procedure, based on optimality criterion methods, for the
minimum weight design of structures subjected to stress, displacement and natural …
minimum weight design of structures subjected to stress, displacement and natural …
[PDF][PDF] A primal-dual interior-point method for nonconvex optimization with multiple logarithmic barrier parameters and with strong convergence properties
T Urban, AL Tits, CT Lawrence - Report, University of Maryland, College …, 1998 - Citeseer
It is observed that an algorithm proposed in the 1980s for the solution of nonconvex
constrained optimization problems is in fact a primal-dual logarithmic barrier interior-point …
constrained optimization problems is in fact a primal-dual logarithmic barrier interior-point …
Organization of PARS—a structural resizing system
B Prasad, RT Kaftka - Advances in Engineering Software (1978), 1982 - Elsevier
PARS (Programs for Analysis and Resizing of Structures) is a software system for the
automated design of structures modeled by finite elements. The system is designed to work …
automated design of structures modeled by finite elements. The system is designed to work …