Analytical expressions of sensitivities for shape variables in second order bending systems

Advances in Engineering Software

Volumn 36, Issue 2, 2005, Pages 99-108

  Perezzan, J C ^a   Hernandez S ^a  

^a UNIVERSITY OF A CORUÑA   (Spain)

Author keywords

Geometric non linearities; Second order theory; Sensitivity analysis; Shape optimisation; Structural optimisation

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; LINEAR SYSTEMS; MATHEMATICAL MODELS; OPTIMIZATION; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

GEOMETRIC NON-LINEARITIES; SECOND ORDER THEORY; SHAPE OPTIMIZATION; STRUCTURAL OPTIMIZITION;

STRUCTURAL DESIGN;

EID: 10444243393     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2004.07.001     Document Type: Article

References (16)

1. Arora JS. Introduction to optimum design. New York: McGraw-Hill; 1989.
2. Vanderplaats GN. Numerical optimisation techniques for engineering design.: VR&D; 2001.
3. Haftka RT, Gürdal Z, Kamat MP. Elements of structural optimisation. Dordrecht, MA: Kluwer Academic Publishers; 1990.
4. Prasad B, Emerson JF. A general capability of design sensitivity for finite element systems. 23rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, New Orleans 1982.
5. Camarda CJ, Adelman HM. Implementation of static and dynamic structure sensitivity derivative calculations in the finite element based engineering analysis language system (EAL). NASA TM-857453.
6. Wallerstein DV. Design enhancement tools in MSC/NASTRAN. NASA CP-2327. p. 505-26.
7. Navarrina F, Colominas I, Juanes R, Bendito E, Casteleiro M. A unified approach for high order sensitivity analysis. Computer aided optimum design of structures VII. Southampton, UK: WIT Press; 2001 p. 247-56.
8. Adelman HM, Haftka RT. Sensitivity analysis of discrete systems. In: Kamat PM, editor. Structural optimization: status and promise. Progress in Astronautics and Aeronautics, vol. 150,1993. p. 291-315.
9. Hernandez S. Análisis lineal y no lineal de estructuras de barras.: University of La Coruña; 2001 (in Spanish).
10. Przmieniecki JS. Theory of matrix structural analysis. New York: Dover Publications Inc.; 1968.
11. Perezzan JC. Análisis de sensibilidad y optimización de estructuras de barras de nudos rígidos en teoría lineal y no lineal. PhD Thesis. University of La Coruña, Spain; 1999 (in Spanish).
12. Perezzan JC, Hernandez S. Analytical expressions of sensitivities for shape variables in linear bending systems. Adv Eng Softw 2003;34(5): 271-8.
13. Kirsch U. Optimum structural design. New York: McGraw-Hill; 1981.
14. Gilmour R, Sauvageot G, Tassin D, Lockwood JD. Northumberland's ice breaker. Civil engineering.: ASCE; January 1997 pp. 34-38.
15. Dupré J. Bridges.: Black Dog and Leventhal; 1997.
16. Hernandez S. Ejemplos práctices de problemas no convexos en diseño óptimo de estructuras. III Congreso de Métodos Numéricos en la Ingeniería, vol. 1. Spain: Zaragoza; 1996 (in Spanish) p. 676-86.