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Linear robustness based optimization design of cable supported structure and its performance analysis |
Received:November 03, 2012 Revised:April 21, 2013 |
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DOI:10.7511/jslx201402002 |
KeyWord:cable supported structure robustness robust H∞ control topology optimization |
Author | Institution |
叶俊 |
浙江大学 建筑工程学院, 杭州 |
高博青 |
浙江大学 建筑工程学院, 杭州 |
董石麟 |
浙江大学 建筑工程学院, 杭州 |
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Abstract: |
Structural robustness refers to the ability of structures to avoid disproportionate consequences in relation to the initial cause.While many studies have been devoted to the evaluation of robustness of frame structures,little attention has been paid to effective methodology to robustness based design of cable supported structures.Firstly,taking basis in robust H∞ control theory,structural robustness is assessed by H∞ norm of the system transfer function.Following the SIMP approach,an artificial isotropic material model with penalization for elastic constants is assumed and relative density variables of elements are used for describing the structural layout.The robustness based topology optimization problem is then modeled as to search for the maximum or minimum linear robustness index and the particle swarm optimization algorithm is used to solve the problem.After that,two cable supported structures were designed according to the resulting topology and the conventional approach,respectively.Disturbance scenario was simulated by beyond static load and the response of the models were analyzed and compared.The results show that the H∞ structural robustness index can indicate whether the structural response is proportional to its cause;In contrast to the conventional approach,the proposed framework can lead to more robust structures,thus offers new potentials to the conceptual design process. |
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