## Dual methods and approximation concepts in structural synthesisClaude Fleury, Lucien André Schmit, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Langley Research Center National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1980 - Aerodynamics - 210 pages |

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### Contents

SUMMARY l | 1 |

PRIMAL AND DUAL APPROACHES TO STRUCTURAL SYNTHESIS | 9 |

DUAL METHODS FOR CONTINUOUS DESIGN VARIABLES | 47 |

4 other sections not shown

### Common terms and phrases

25-Bar Space Truss algorithm analysis approximate problem approximation concepts approach behavior constraints CN CN CN concepts and dual critical constraints Data for Problem defined by Eqs Definition of Problem Delta Wing Model design variables Designs for Problem dimensionality discrete variables displacement constraints DUAL 2 optimizer DUAL l algorithm dual method dual problem dual space dual variables feasible designs Final Designs finite element gradient hyperplanes Iteration History Data iterative design Lagrangian multipliers load condition mathematical programming minimum move direction NEWSUMT Node nonlinear programming optimality criteria approach optimality criteria techniques optimum order approximation order discontinuity planes penalty function primal problem projection matrix pure discrete reciprocal variables Schmit sequence side constraints stage stress constraints Structural Optimization structural synthesis problem Swept Wing Model Taylor series Truss Problem Truss SI Units Truss U.S. Customary U.S. Customary Units variable problems vector Wing Model Problem Young's modulus