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| Optimal method of resonance decoupling design for multivariable cross-sectional structure |
| Received:November 04, 2019 Revised:December 24, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20191104001 |
| KeyWord:multivariate element gradient function frequency constraints optimization design Lagrange multiplier |
| Author | Institution |
| 黄海新 |
河北工业大学 土木与交通学院, 天津 |
| 李涛 |
河北工业大学 土木与交通学院, 天津 |
| 程寿山 |
交通运输部公路科学研究所, 北京 |
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| Abstract: |
| Dynamic optimization design model for multivariable cross-sectional structures with frequency constraints is studied.The implicit nonlinear frequency constraint function is approximately obtained by Taylor's expansion formulation,and the explicit expression of the gradient function of frequency to cross-sectional design variables is given.Based on the Kuhn-Tucker condition,an iteration algorithm consisting of the constraints and the objective function gradient and Lagrange multipliers is derived by solving a set of simultaneous equations is deduced,which constitutes the optimization method of resonance decoupling design for multivariable cross-sectional structures.The results show that the accuracy of the algorithm is satisfied in terms of calculation of rectangular section structure.It is found that the contribution of cross-sectional variables to frequency is different,frequency gradient values can be taken as an indicator to distinguish dominant and inferior variables.The modified factors of inferior variables may be constant in the iteration solution,and its lower limit should be reduced as much as possible,which is good for cost savings.The work done here can provide theoretical guidance and improve applicability for structural dynamic optimization design of complex cross sections. |