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J.I. Barbosa*, C.M. Mota Soares#, C.A. Mota Soares# and R.P. Leal**

*Escola Nautica Infante D. Henrique, Oeiras, Portugal
#IDMEC - Institute of Mechanical Engineering, I.S.T., Lisboa, Portugal
**Department of Mechanical Engineering, University of Coimbra, Coimbra, Portugal

Abstract

In this paper the theory of shape and sizing sensitivity analysis is presented for static global and local objective functions and/or constraints for thin axisymmetric shells, using the Lagrangian approach. The design variables considered are thicknesses, nodal radial coordinates and the angle defined by the axis of the revolution and a normal to the frustum generating line.

A model with two node frustum element with eight degrees of freedom is used for the analysis of the real and adjoint structure.

The objective of the design can be the minimization of the volume of the shell material, the minimization of the maximum stresses or the minimization of the maximum displacement. The constraint functions are the displacements, stresses, enclosed volume of the structure and the volume of shell material.

Two test examples are here presented which show that the Lagrangian formulation and an alternative discrete approach using the same element give the same expected results, although the discrete formulation proved to be more efficient with regard to CPU time.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 40 ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper VIII.2 Lagrangian Model for Shape Optimal Design of Thin Shells of Revolution J.I. Barbosa, C.M. Mota Soares#, C.A. Mota Soares# and R.P. Leal* Escola Nautica Infante D. Henrique, Oeiras, Portugal #IDMEC - Institute of Mechanical Engineering, I.S.T., Lisboa, Portugal *Department of Mechanical Engineering, University of Coimbra, Coimbra, Portugal doi:10.4203/ccp.40.8.2 purchase the full-text of this paper Full Bibliographic Reference for this paper J.I. Barbosa, C.M. Mota Soares, C.A. Mota Soares, R.P. Leal, "Lagrangian Model for Shape Optimal Design of Thin Shells of Revolution", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 199-204, 1996. doi:10.4203/ccp.40.8.2 Abstract In this paper the theory of shape and sizing sensitivity analysis is presented for static global and local objective functions and/or constraints for thin axisymmetric shells, using the Lagrangian approach. The design variables considered are thicknesses, nodal radial coordinates and the angle defined by the axis of the revolution and a normal to the frustum generating line. A model with two node frustum element with eight degrees of freedom is used for the analysis of the real and adjoint structure. The objective of the design can be the minimization of the volume of the shell material, the minimization of the maximum stresses or the minimization of the maximum displacement. The constraint functions are the displacements, stresses, enclosed volume of the structure and the volume of shell material. Two test examples are here presented which show that the Lagrangian formulation and an alternative discrete approach using the same element give the same expected results, although the discrete formulation proved to be more efficient with regard to CPU time. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £66 +P&P)
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