1,286
Views
291
CrossRef citations to date
0
Altmetric
Original Articles

Design sensitivity analysis: Overview and review

&
Pages 71-105 | Published online: 24 Oct 2007

References

  • Choi , K. K. and Chang , K. H. 1991 . Shape Design Sensitivity Analysis and What—if Workstation for Elastic Solids . American Institute of Aeronautics and Astronautics , : 578 – 587 . AIAA-91-1206-CP
  • Stacey , W. M. Jr. 1974 . Variational Methods in Nuclear Reactor Physics , New York, NY : Academic Press .
  • Gallagher , R. H. and Zienkiewicz , O. C. , eds. 1973 . Optimum Structural Design Theory and Applications , New York, NY : John Wiley and Sons .
  • Haug , E. J. and Arora , J. S. 1979 . Applied Optimal Design , New York, NY : John Wiley and Sons .
  • Krish , U. 1981 . Optimum Structural Design Concepts, Methods and Applications , New York, NY : McGraw-Hill .
  • Haug , E. J. , Choi , K. K. and Komkov , V. 1986 . Design Sensitivity Analysis of Structural Systems , New York : Academic Press .
  • Haslinger , J. and Neittaanmaki , P. 1988 . Finite Element Approximation for Optimal Shape Design, Theory and Applications , New York, NY : John Wiley and Sons .
  • Banichuk , N. V. 1990 . Introduction to Optimization of Structures , New York, NY : Springer-Verlag .
  • Haftka , R. T. and Gurdal , Z. 1992 . Elements of Structural Optimization , 261 – 263 . The Netherlands : Kluwer Academic Publishers .
  • Rozvany , G. , ed. 1989 . Structural Optimization , Berlin : Springer-Verlag .
  • Cea , J. and Haug , E. J. , eds. 1981 . Optimization of Distributed Parameter Structures , Vol. II , The Netherlands : NATO ASI, Sijthoff and Noordhoff, Alphen aan den Rijn .
  • Mota Soares , C. A. , ed. 1987 . “ Computer Aided Optimal Design: Structural and Mechanical Systems ” . In Computer and Systems Sciences , Vol. 27 , Berlin : Springer-Verlag . volume of Series F NATO ASI
  • Rozvany , G. , ed. 1991 . Optimization of Large Structural Systems , Vol. 1, 2, 3 , NATO/DFG ASI .
  • Prager , W. and Shield , R. T. 1968 . Optimal Design of Multi-Purpose Structures . International Journal of Solids and Structures , 4 : 469 – 475 .
  • Prager , W. and Taylor , J. E. 1968 . Problems of Optimal Structural Design . ASME , 35 : 102 – 106 .
  • Shield , R. T. and Prager , W. 1970 . Optimal Structural Design for a Given Deflection . Z. Angew. Math. Phys. , 21 : 513 – 523 .
  • Shield , R. T. 1973 . “ Optimal Design of Structures Through Variational Principles ” . In Optimization and Stability Problems in Continuum Mechanics , Edited by: Wang , P. K. C. 13 – 37 . New York, NY : Springer-Verlag .
  • Rozvany , G. I. 1981 . “ Variational Methods and Optimality Criteria ” . In Optimization of Distributed Parameter Structures , Edited by: Cea , J. and Haug , E. J. Vol. II , 82 – 111 . The Netherlands : NATO ASI, Sijthoff and Noordhoff, Alphen aan den Rijn .
  • Zienkiewicz , O. C. and Campbell , J. S. 1973 . “ Shape optimization and sequential linear programming ” . In Optimum Structural Design Theory and Applications , Edited by: Gallagher , R. H. and Zienkiewicz , O. C. 109 – 126 . New York, NY : John Wiley and Sons .
  • Ramakrishnan , C. V. and Francavilla , A. 1974 . Structural Shape Optimization Using Penalty Functions . Journal of Structural Mechanics , 3 : 403 – 422 .
  • Cea , J. 1981 . “ Problems of Shape Optimal Design ” . In Optimization of Distributed Parameter Structures , Edited by: Cea , J. and Haug , E. J. Vol. II , 1005 – 1048 . The Netherlands : NATO ASI, Sijthoff and Noordhoff, Alphen aan den Rijn .
  • Cea , J. 1981 . “ Numerical Methods in Shape Optimal Design ” . In Optimization of Distributed Parameter Structures , Edited by: Cea , J. and Haug , E. J. Vol. II , 1049 – 1087 . The Netherlands : NATO ASI, Sijthoff and Noordhoff, Alphen aan den Rijn .
  • Choi , K. K. and Haug , E. J. 1983 . Shape Design Sensitivity Analysis of Elastic Structures . Journal of Sturctural Mechanics , 11 ( 2 ) : 231 – 269 .
  • Dems , K. and Morz , Z. 1983 . Variational Approach by Means of an Adjoint System to Structural Optimization and Sensitivity Analysis—I. Variation of Material Parameters Within a Fixed Domain . Int. Journal of Solids and Strucuturs , 19 ( 8 ) : 677 – 692 .
  • Dems , K. and Morz , Z. 1984 . Variational Approach by Means of an Adjoint System to Structural Optimization and Sensitivity Analysis—II. Structural Shape Variation . Int. Jorunal of Solids and Structures , 20 ( 6 ) : 527 – 552 .
  • Mota Soares , C. A. , Rodrigues , H. C. , Oliveira Faria , L. M. and Haug , E. J. 1984 . Optimization of the Geometry of Shafts Using Boundary Elements . Journal of Mechanisms, Transmission, and Automation in Engineering , 106 : 199 – 202 .
  • Mota Soares , C. A. , Rodrigues , H. C. and Choi , K. K. 1984 . Shape Optimal Structural Design Using Boundary Elements and Minimum Compliance Techniques . Journal of Mechanisms, Transmissions, and Automation in Engineering , 106 : 518 – 523 .
  • Wang , S. Y. , Sun , Y. and Gallagher , R. H. 1985 . Sensitivity Analysis in Shape Optimization of Continuum Structures . Computers and Structures , 20 ( 5 ) : 855 – 867 .
  • Seong , H. G. and Choi , K. K. 1987 . Boundary-Layer Approach to Shape Design Sensitivity Analysis . Mechanics of Structures and Machines , 15 ( 2 ) : 241 – 267 .
  • Barone , M. R. and Yang , R. G. 1988 . Boundary Integral Equations for Recovery of Design Sensitivities in Shape Optimization . AIAA Journal , 26 ( 5 ) : 589 – 594 .
  • Kane , J. H. and Saigal , S. 1988 . Design-Sensitivity Analysis of Solids Using BEM . Journal of Engineering Mechanics , 114 ( 10 ) : 1703 – 1722 .
  • Barone , M. R. and Yang , R. J. 1989 . A Boundary Element Approach for Recovery of Shape Sensitivities in Three-Dimensional Elastic Solids . Computer Methods in Applied Mechanics and Engineering , 74 : 69 – 82 .
  • Chieu , T. C. 1989 . Sensitivity Analysis and Shape Optimization of Axisymmetric Structures . International Journal for Numerical Methods in Engineering , 28 : 95 – 108 .
  • Saigal , S. , Borggaard , J. T. and Kane , J. H. Boundary Element Implicit Differentiation Equations for Design Sensitivities of Axisymmetric Structures . International Journal of Solids and Structures , 25 ( 5 ) 527 – 538 .
  • Choi , J. H. and Kwak , B. M. 1990 . A Unified Approach for Adjoint and Direct Method in Shape Design Sensitivity Analysis Using Boundary Integral Formulation . Engineering Analysis with Boundary Elements , 7 ( 1 ) : 39 – 45 .
  • Rice , J. S. and Mukherjee , S. 1990 . Design Sensitivity Coefficients for Axisymmetric Elasticity Problems by Boundary Element Methods . Engineering Analysis with Boundary Elements , 7 ( 1 ) : 13 – 20 .
  • Pedersen , P. 1969 . “ On the Minimum Mass Layout of Trusses ” . In Advisory Group for Aerospace Research and Development , 1 – 15 . France : NATO, Neuilly-Sur-Seine .
  • Haug , E. J. and Rousselet , B. 1980 . Design Sensitivity Analysis in Structural Mechanics. I. Static Response Variations . J. Struct. Mech. , 8 ( 1 ) : 17 – 41 .
  • Olhoff , N. , Lurie , K. A. , Cherkaev , A. V. and Fedorov , A. V. 1981 . Sliding Regimes and Anisotropy in Optimal Design of Vibrating Axisymmetric Plates . International Journal of Solids and Strucutures , 17 ( 10 ) : 931 – 948 .
  • Cheng , K. T. and Olhoff , N. 1981 . An Investigation Concerning Optimal Design of Solid Elastic Plates . International Journal of Solids and Structures , 17 : 153 – 169 .
  • Cheng , K. T. and Olhoff , N. 1982 . Regularized Formulation for Optimal Design of Axisymmetric Plates . International Journal of Solids and Structures , 18 ( 2 ) : 305 – 323 .
  • Dems , K. and Mroz , Z. 1987 . A Variational Approach to Sensitivity Analysis and Structural Optimization of Plane Arches . Mechanics of Structures and Machinery , 15 ( 3 ) : 297 – 321 .
  • Pedersen , P. 1987 . On Sensitivity Analysis and Optimal Design of Specially Orthotropic Laminates . Engineering Optimization , 11 : 305 – 316 .
  • Chenais , D. , Rousselet , B. and Benedict , R. 1988 . Design Sensitivity for Arch Structures with Respect to Midsurface Shape under Static Loading . Journal of Optimization Theory and Applications , 58 ( 2 ) : 225 – 239 .
  • Brockman , R. A. and Lung , F. Y. 1988 . Sensitivity Analysis with Plate and Shell Finite Elements . International Journal for Numerical Methods in Engineering , 26 : 1129 – 1143 .
  • Dopker , B. , Choi , K. K. and Benedtict , R. L. 1988 . Shape Design Sensitivity Analysis of Structures Containing Arches . Computers and Structures , 28 ( 1 ) : 1 – 13 .
  • Dems , K. , Mroz , Z. and Szaleg , D. 1989 . Optimal Design of Rib-Stiffeners in Disks and Plates . International Journal of Solids and Structures , 25 ( 9 ) : 973 – 998 .
  • Thomsen , J. and Olhoff , N. 1990 . Optimization of Fiber Orientation and Concentration in Composites . Control and Cybernetics , 19 ( 3–4 ) : 327 – 341 .
  • Pedersen , P. 1992 . “ Concurrent Engineering Design with and of advanced Materials ” . In NATO-ARMY-NASA Advanced Study Institute for Concurrent Engineering Tools and Technologies for Mechanical System Design Iowa City, IA
  • Twu , S. L. and Choi , K. K. 1992 . Configuration Design Sensitivity Analysis of Built-up Structures Part 1: Theory . International Journal for Numerical Methods in Engineering , 35 : 1127 – 1150 .
  • Mroz , Z. , Kamat , M. P. and Plaut , R. H. 1985 . Sensitivity Analysis and Optimal Design of Nonlinear Beams an Plates . Journal of Structural Mechanics , 13 ( 3 and 4 ) : 245 – 266 .
  • Haftka , R. T. and Morz , Z. 1986 . First- and Second-Order Sensitivity Analysis of Linear and Nonlinear Structures . AIAA Journal , 24 ( 7 ) : 1187 – 1192 .
  • Szefer , G. , Mroz , Z. and Dembowicz , L. 1987 . Variational Approach to Sensitivity Analysis in Nonlinear Elasticity . Archives of Mechanics , 39 ( 9 ) : 247 – 259 .
  • Choi , K. K. and Santos , J. L. T. 1987 . Design Sensitivity Analysis of Nonlinear Structural Systems: Part I, Theory . International Journal for Numerical Methods in Engineering , 24 ( 11 ) : 2039 – 2055 .
  • Santos , J. L. T. and Choi , K. K. 1988 . Sizing Design Sensitivity Analysis of Nonlinear Structural Systems: Part II, Numerical Method . International Journal for Numerical Methods in Engineering , 26 ( 9 ) : 2097 – 2114 .
  • Cardoso , J. B. and Arora , J. S. 1988 . Variational Method for Design Sensitivity Analysis in Nonlinear Structural Mechanics . AIAA Journal , 26 ( 5 ) : 595 – 603 .
  • Phelan , D. G. , Vidal , C. and Haber , R. B. 1991 . An Adjoint Variable Method for Sensitivity Analysis of Nonlinear Elastic Systems . International Journal for Numerical Methods in Engineering , 31 : 1649 – 1667 .
  • Tortorelli , D. A. 1992 . Sensitivity Analysis for Non-Linear Constrained Elastostatic Systems . International Journal for Numerical Methods in Engineering , 33 : 1643 – 1660 .
  • Lekszycki , T. and Morz , Z. 1983 . On Optimal Support Reaction in Viscoelastic Vibrating Structures . Mechanics of Structures and Machines , 11 ( 1 ) : 67 – 79 .
  • Lekszycki , T. 1991 . Application of Variational Methods in Analysis and Synthesis of Viscoelastic Continuous Systems . Mechancis of Structures and Machines , 19 ( 2 ) : 163 – 192 .
  • Lekszycki , T. , Olhoff , N. and Pedersen , J. J. 1992 . Modeling and Identification of Viscoelastic Properties of Vibrating Sandwich Beams . Composite Structures , 22 : 15 – 31 .
  • Bendsoe , M. P. and Sokolowski , J. 1987 . Sensitivity Analysis and Optimization of Elastic–Plastic Structures . Engineering Optimization , 11 : 31 – 38 .
  • Bendsoe , M. P. and Sokolowski , J. 1988 . Design Sensitivity Analysis of Elastic–Plastic Analysis Problems . Mechanical Structures and Machinery , 16 : 81 – 102 .
  • Tsay , J. J. and Arora , J. S. 1990 . Nonlinear Structural Design Sensitivity Analysis for Path Dependent Problems. Part 1: General Theory . Computer Methods in Applied Mechanics and Engineering , 81 : 183 – 208 .
  • Tsay , J. J. , Cardoso , J. E. B. and Arora , J. S. 1990 . Nonlinear Structural Design Sensitivity Analysis for Path Dependent Problems. Part 2: Analytic Examples . Computer Methods in Applied Mechanics and Engineering , 81 : 209 – 228 .
  • Zhang , Q. and Mukherjee , S. 1992 . Design Sensitivity Coefficients for Elastic-Viscoplastic Problems by Boundary Element Methods . International Journal For Numerical Methods in Engineering , 34 : 947 – 966 .
  • Vidal , C. A. , Lee , H.-S. and Haber , R. B. 1991 . The Consistent Tangent Operator for Design Sensitivity Analysis of History-Dependent Response . Computing Systems in Engineering , 2 ( 5–6 ) : 509 – 523 .
  • Vidal , C. A. and Haber , R. B. Design Sensitivity Analysis for Rate-Independent Elastoplasticity . Computer Methods in Applied Mechanics and Engineering , to appear
  • Haber , R. B. , Tortorelli , D. A. , Vidal , C. A. and Phelan , D. G. 1993 . “ Design Sensitivity Analysis of Nonlinear Structures-I: Large-Deformation Hyperelasticity and History-Dependent Material Response ” . In Structures Optimization: Status and Promise , Edited by: Kamat , M. P. 369 – 406 . AIAA Progress in Astronautics and Aeronautics Series .
  • Nelson , R. B. 1976 . Simplified Calculation of Eigenvector Derivatives . AIAA Journal , 14 ( 9 ) : 1201 – 1205 .
  • Felix , J. and Vanderplaats , G. N. 1987 . Configuration Optimization of Trusses Subject to Strength Displacement and Frequency Constraints . Journal of Mechanisms, Transmission, and automation in Design , 109 : 233 – 241 .
  • Ojalvo , I. U. Efficient Computation of Mode-Shape Derivatives . 27th Strucutres Structural Dynamics and Material Conference . San Antonio. pp. 242 – 247 . TX : AIAA/ASME/ASDE/AHS . Part 2
  • Haftka , R. F. , Cohen , G. A. and Mroz . 1990 . Derivatives of Buckling Loads and Vibration Frequencies With Respect to Stiffness and Initial Strain Parameters . Journal of Applied Mechanics , 57 : 18 – 24 .
  • Burczynski , T. and Fedelinski , P. 1991 . Boundary Elements in Shape Analysis and Optimal Design of Vibrating Structures . Engineering Analysis with Boundary Elements , 8 ( 6 ) : 294 – 300 .
  • Meric , R. A. 1988 . Shape Design Sensitivity Analysis of Dynamic Structures . AIAA Journal , 26 ( 2 ) : 206 – 261 .
  • Wang , S. and Choi , K. K. 1990 . Continuum Design Sensitivity Analysis of Transient Responses Using Rits and Mode Accelerations . AIAA Journal , 30 ( 4 ) : 1099 – 1109 .
  • Tortorelli , D. A. , Lu , S. C. Y. and Haber , R. B. 1990 . Design Sensitivity Analysis for Elastodynamic Systems . Mechanics of Structures and Machines , 18 ( 1 ) : 77 – 105 .
  • Tortorelli , D. A. 1990 . “ Sensitivity Analysis for the Steady-State Response of Damped Linear Elastodynamic Systems Subject to Periodic Loads ” . In Advances in Design Automation 1990 , Edited by: Ravani , B. Vol. 2 , 315 – 323 . New York : ASME .
  • Benedict , R. L. and Taylor , J. E. 1981 . “ Optimal Design of Elastic Bodies in Contact ” . In Optimization of Distributed Parameter Structures , Edited by: Cea , J. and Haug , E. J. Vol. II , 1553 – 1599 . The Netherlands : NATO ASI, Sijthoff and Noordhoff, Alphen aan den Rijn .
  • Haslinger , J. , Neittaanmaki , P. and Salmenjoki , K. 1992 . Sensitivity Analysis for Discretized Unilateral Plane Elasticity Problem . Finite Element in Analysis and Design , 12 : 13 – 25 .
  • Meric , R. A. 1979 . Finite Element and Conjugate Gradient Methods for A Nonlinear Optimal Heat Transfer Control Problem . International Journal for Numerical Methods in Engineering , 14 : 1851 – 1863 .
  • Haftka , R. T. 1981 . Techniques for Thermal Sensitivity Analysis . International Journal for Numerical Methods in Engineering , 17 : 71 – 80 .
  • Dems , K. 1986 . Sensitivity in Thermal Problems I: Variation of Material Parameters within a Fixed Domain . Journal of Thermal Stresses , 9 : 303 – 324 .
  • Dems , K. 1986 . Sensitivity in Thermal Problems II: Structural Shape Variation . Journal of Thermal Stress , 10 : 1 – 16 .
  • Meric , R. A. 1988 . Shape Optimization and Identification of Solid Geometries Considering Discontinuities . ASME Journal of Heat Transfer , 110 ( 3 ) : 544 – 550 .
  • Meric , R. A. 1998 . Shape Design Sensitivity Analysis for Nonlinear Anisotropic Heat Conducting Solids and Shape Optimization by the BEM . International Journal for Numerical Methods in Engineering , 26 : 109 – 120 .
  • Tortorelli , D. A. and Haber , R. B. 1989 . First Order Design Sensitivities for Transient Conduction Problems by an Adjoint Method . International Journal for Numerical Methods in Engineering , 28 ( 4 ) : 733 – 752 .
  • Tortorelli , D. R. , Haber , R. B. and Lu , S. C. Y. 1989 . Design Sensitivity Analysis for Nonlinear Thermal Systems . Computer Methods in Applied Mechanics and Engineering , 77 : 61 – 77 .
  • Dems , K. and Mroz , Z. 1987 . Variational Approach to Sensitivity Analysis in Thermoelasticity . Journal of Thermal Stress , 10 : 283 – 306 .
  • Meric , R. A. 1988 . Sensitivity Analysis of Functionals with Respect to Shape For Dynamically Loaded Nonlocal Thermoelastic Solids . International Journal of Engineering Science , 26 ( 7 ) : 703 – 711 .
  • Tortorelli , D. A. , Subramani , G. , Lu , S. C.Y. and Haber , R. B. 1991 . Sensitivity Analysis for Coupled Thermoelastic Systems . International Journal of Solids and Structures , 27 ( 12 ) : 1477 – 1497 .
  • Tortorelli , D. A. , Haber , R. B. and Lu , S. C. Y. 1991 . Adjoint Sensitivity Analysis for Nonlinear Thermoelastic Systems . AIAA Journal , 29 ( 2 ) : 253 – 263 .
  • Yang , R. J. 1993 . Shape Design Sensitivity Analysis of Thermoelasticity Problems . Computer Methods in Applied Mechanics and Engineering , 102 : 41 – 60 .
  • Dulikravich , G. S. , ed. October 1991 . Thrid International Conference on Inverse Desgin Concepts and Optimization in Engineering Sciences October , Washington, DC
  • 1992 . Fourth AIAA/USAF/NASA/OAI Symposium on Multidisiplinary Analysis and Optimization Cleveland, OH
  • Haug , E. J. and Ehle , P. E. 1982 . Second-Order Design Sensitivity Analysis of Mechanical System Dynamics . International Journal for Numerical Methods in Engineering , 18 : 1699 – 1717 .
  • Haug , E. J. , ed. 1984 . Computer Aided Analysis and Optimization of Mechanical System Dynamics , Berlin : NATO ASI, Springer-Verlag .
  • Hsieh , C. C. and Arora , J. S. 1985 . Structural Design Sensitivity Analysis with General Boundary Conditions: Dynamic Problem . International Journal for Numerical Methods in Engineering , 21 : 267 – 283 .
  • Paeng , J. K. and Arora , J. S. 1989 . Dynamic Response Optimization of Mechanical with Multiplier Methods . Journal of Mechanisms, Transmissions, and Auromation in Design , 111 : 73 – 80 .
  • Meric , R. A. and Saigel , S. 1991 . Shape Sensitivity Analysis of Piezoelectric Structures by the Adjoint Variable Method . AIAA Journal , 29 ( 8 ) : 1313 – 1318 .
  • Roger , A. 1982 . Newton-Kantorovitch Algorithm Applied to an Electromagnetic Inverse Problem . IEEE Transactions on Antennas and Propagation , Ap-29 ( 2 ) : 232 – 238 .
  • 1992 . IEEE Transactions on Magnetics , 28 ( 2 )
  • Sykes , J. F. , Wilson , J. L. and Andrews , R. W. 1985 . Sensitivity Analysis For Steady State Groundwater Flow Using Adoint Operators . Water Resources Research , 21 ( 3 ) : 359 – 371 .
  • Carrera , J. and Newman , S. P. 1986 . Estimation of Aquifer Parameters Under Transient and Steady State Conditions: 2. Uniqueness, Stability and Solution Algorithms . Water Resources Research , 22 ( 2 ) : 211 – 227 .
  • Ahlfeld , D. P. , Mulvey , J. M. , Pinder , G. F. and Wood , E. 1988 . Contaminated Groundwater Remediation Design Using Simulation, Optimization and Sensitivity Theory 1. Model Development . Water Resources Research , 24 ( 3 ) : 431 – 441 .
  • Cardoso , J. B. and Arora , J. S. 1991 . Shape Design Sensitivity Analysis of Field Problems . International Journal Engineering Science , 29 ( 12 ) : 1627 – 1637 .
  • Rabitz , H. , Kramer , M. and Dacol , D. 1983 . Sensitivity Analysis in Chemical Kinetics . Annual Review of Physics and Chemistry , 34 : 419 – 461 .
  • Morbirelli , M. and Varma , A. 1988 . A Generalized Criterion for Parametric Sensitivity. Application to Thermal Explosion Theory . Chemical Engineering Science , 43 ( 1 ) : 91 – 102 .
  • Morbirelli , M. and Varma , A. 1989 . A Generalized Criterion for Parametric Sensitivity. Application to Pseudohomogeneous Tubular Reactor with Consecutive or Parallel Reactions . Chemical Engineering Science , 44 ( 8 ) : 1675 – 1696 .
  • Vajda , S. and Rabitz , H. 1992 . Parametric Sensitivity and Self-Similarity in Thermal Explosion Theory . Chemicl Engineering Science , 47 ( 5 ) : 1063 – 1078 .
  • Bell , G. I. and Glasstone , S. 1970 . Nuclear Reactor Theory , New York, NY : Van Nostrand Reinhold Company .
  • Cacuci , D. G. , Maudlin , P. J. and Parks , C. V. 1983 . Adjoint Sensitivity Analysis of Extremum-Type Responses in Reactor Safety . Nuclear Science and Engineering , 83 : 112 – 135 .
  • Wacholder , E. , Kaizerman , S. , Tomerian , N. and Cacuci , D. G. 1985 . An Exact Sensitivity Analysis of Simplified Transient Two-Phase Flow Problem . Nuclear Science and Engineering , 89 : 1 – 35 .
  • Haftka , R. T. , Grossman , B. , Eppard , W. M. , Kao , P. J. and Polen , D. M. 1989 . Efficient Optimization of Integrated Aerodynamic-Structural Design . Internatiuonal Journal for Numerical Methods in Engineering , 28 : 593 – 607 .
  • Sobieszczanski-Sobieski , J. 1990 . Sensitivity of Complex, Internally Coupled Systems . AIAA Journal , 28 ( 1 ) : 153 – 160 .
  • Sobieszczanski-Sobieski , J. , Bloebaum , C. L. and Hajela , P. 1991 . Sensitivity of Control-Agumented Structure Obtained by a System Decomposition Method . AIAA Journal , 29 ( 2 ) : 264 – 270 .
  • Tortorelli , D. A. 1992 . “ Design Sensitivity Analysis for Coupled System and their Application to Concurrent Engineering ” . In NATO-ARMY-NASA Advanced Study Institute for Concurrent Engineering Tools and Technologies for Mechanical System Design Iowa City, IA
  • Bryson , A. E. Jr. and Ho , Y. C. 1975 . Applied Optimal Control , New York, NY : Hemisphere .
  • Beck , J. V. , Blackwell , B. and St. Clair , C. R. Jr. 1985 . Inverse Heat Conduction: Ill-Posed Problems , New York : Wiley-Interscience .
  • Beck , J. V. 1988 . Combined Parameter and Function Estimation in Heat Transfer with Application to Contact Conductance . Journal of Heat Transfer , 110 : 1046 – 1058 .
  • 1988 . Applied Mechanics Review , 41 ( 6 )
  • Zabaras , N. 1990 . Inverse Finite Techniques for the Analysis of Solidification Processes . International Journal for Nuerical Methods in Engineering , 29 : 1569 – 1587 .
  • Jarny , Y. , Ozisik , M. N. and Bardon , J. P. 1991 . A General Optimization Method Using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction . International Journal of Heat and Mass Transfer , 34 ( 11 ) : 2911 – 2919 .
  • Huang , C. H. and Ozisik , M. N. 1992 . Inverse Problem of Determining Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plate Duct . Numerical Heat Transfer , 21 : 55 – 70 .
  • Maniatty , A. M. , Zabaras , N. J. and Stelson , K. 1989 . Finite Element Analysis of Some Inverse Elasticity Problems . Journal of Engineering Mechanics , 115 ( 6 ) : 1303 – 1317 .
  • Schnur , D. S. and Zabaras , N. 1990 . Finite Element Solution of Two-Dimensional Inverse Elasticity Problems Using Spatial Smoothing . International Journal for Numerical Methods in Engineering , 30 : 57 – 75 .
  • Nishmoura , D. and Kobayashi , S. 1991 . A Boundary Integral Equation Method for An Inverse Problem Related to Crack Detection . International Journal for Numerical Methods in Eingineering , 32 : 1371 – 1387 .
  • Zeng , X. and Saigel , S. 1992 . An Inverse Formulation with Boundary Elements . Journal of Applied Mechanics , 59 ( 4 ) : 835 – 840 .
  • Flanigan , C. C. 1987 . Test/Analysis Correlation of the STS CENTAUR Using Design Sensitivity and Optimization Methods . Proc. 5th Int. Model Analysis Conf. 1987 , London.
  • Brandon , J. A. 1990 . Strategies for Structural Dyanmic Modification , New York, NY : John Wiley and Sons .
  • Tortorelli , D. A. and Vakakis , A. F. 1992 . The Prediction of The Onset of Chaos With Sensitivity Analysis . AIAA , Technical Repost 92-2550-CP
  • Fiacco , A. V. 1983 . Introduction to Sensitivity and Stability Analysis in Nonlinear Programming. Mathematics in Science and Engineering , New York, NY : Academic Press .
  • Vanderplaats , G. N. 1984 . Numerical Optimization Techniques for Engineering Design: with Applications , New York : McGraw-Hill .
  • Gill , P. E. , Murray , W. and Wright , M. H. 1992 . “ Practical Optimization ” . In , ninth edition , New York : Academic Press .
  • Ang , A. H.-S. and Tang , W. H. 1975 . Probability Concepts in Engineering Planning and Design , New York, NY : John Wiley and Sons .
  • Eschenauser , H. , Kneppe , G. and Stenvers , K. H. 1986 . Deterministic and Stochastic Multiobjective Optimization of Beam and Shell Structures . Journal of Mechanisms, Transmission, and Automation in Design , 108 : 31 – 37 .
  • Cruse , T. A. , Unruh , J. F. , Wu , Y. T. and Harren , S. V. 1990 . Probabilistic Structural Analysis for Advanced Space Propulsion Systems . Journal of Engineering for Gas Turbines and Power , 112 : 251 – 260 .
  • Cruse , T. A. , Rajagopa , K. R. and Dias , J. B. 1990 . Probabilistic Structural Analysis Methodology and Applications to Advanced Space Propulsion System Components . Computing Systems in Engineering , 1 ( 2–4 ) : 365 – 372 .
  • Wu , Y. T. , Millwater , H. R. and Cruse , T. A. 1990 . Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions . AIAA Journal , 28 ( 9 ) : 1663 – 1669 .
  • Hien , T. D. and Kleiber , M. 1991 . Stochastic Design Sensitivity in Structural Dynamics . International Journal for Numerical Methods in Engineering , 32 : 1247 – 1265 .
  • Choi , K. K. and Twu , S.-L. 1989 . Equivalence of Continuum and Discrete Methods of Shape Design Sensitivity Analysis . AIAA Journal , 27 ( 10 ) : 1418 – 1424 .
  • Srang , G. 1988 . Linear Algebra and its Applications , third edition , San Diego : Harcout Brace Jovanovich .
  • Fenyes , P. A. and Lust , R. V. 1991 . Error Analysis of Semianalytic Displacement Derivatives for Shape and Sizing Variables . AIAA Journal , 29 ( 2 ) : 271 – 279 .
  • Olhoff , N. and Rasmoussen , J. 1991 . Study of Inaccuracy in Semi—Analytical Sensitivity Analysis—A Model Problem . Structural Optimization , 3 : 203 – 213 .
  • Haftka , R. T. 1982 . Second Order Sensitivity Derivatives in Structural Analysis . AIAA Journal , 20 : 1765 – 1766 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.