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M. Shimoda¹ and T. Nagano²

¹Department of Advanced Science and Technology, Toyota Technological Institute, Nagoya, Japan
²Graduate School of Engineering, Toyota Technological Institute, Nagoya, Japan

doi:10.4203/ccp.108.188

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M. Shimoda, T. Nagano, "Robust Shape Optimization of a Frame Structure with Unknown Loadings", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 188, 2015. doi:10.4203/ccp.108.188

Keywords: optimum design, shape optimization, robust, free-form, frame structure, H1 gradient method.

Summary

This paper presents a robust shape optimization of frame structures with unknown loadings. The concept of minimizing the maximum compliance called principal compliance is applied to a shape optimization problem of a frame structure. The principal compliance minimization problem is transformed to the equivalent maximization problem of the fundamental eigenvalue of the stiffness term, and then formulated as a distributed-parameter shape optimization problem. The frame structure is assumed to be freely varied in the off-axis direction to the centroidal axis. The derived shape gradient function is applied to the H1 gradient method for framd structures to determine the optimal shape variation for reducing the objective functional. With this method, the optimal free-form a frame structure can be determined without any shape parameterization. The calculated results show the effectiveness of the proposed method for the robust shape optimization problem of a frame structure with unknown loadings.

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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: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 188 Robust Shape Optimization of a Frame Structure with Unknown Loadings M. Shimoda¹ and T. Nagano² ¹Department of Advanced Science and Technology, Toyota Technological Institute, Nagoya, Japan ²Graduate School of Engineering, Toyota Technological Institute, Nagoya, Japan doi:10.4203/ccp.108.188 purchase the full-text of this paper Full Bibliographic Reference for this paper M. Shimoda, T. Nagano, "Robust Shape Optimization of a Frame Structure with Unknown Loadings", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 188, 2015. doi:10.4203/ccp.108.188 Keywords: optimum design, shape optimization, robust, free-form, frame structure, H1 gradient method. Summary This paper presents a robust shape optimization of frame structures with unknown loadings. The concept of minimizing the maximum compliance called principal compliance is applied to a shape optimization problem of a frame structure. The principal compliance minimization problem is transformed to the equivalent maximization problem of the fundamental eigenvalue of the stiffness term, and then formulated as a distributed-parameter shape optimization problem. The frame structure is assumed to be freely varied in the off-axis direction to the centroidal axis. The derived shape gradient function is applied to the H1 gradient method for framd structures to determine the optimal shape variation for reducing the objective functional. With this method, the optimal free-form a frame structure can be determined without any shape parameterization. The calculated results show the effectiveness of the proposed method for the robust shape optimization problem of a frame structure with unknown loadings. 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 £75 +P&P)
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