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横向构件作用下的开口薄壁梁等效建模方法

1. 1. 北京航空航天大学
2. 北京航空航天大学航空科学与工程学院
• 收稿日期:2015-07-07 修回日期:2015-11-02 发布日期:2015-11-19
• 通讯作者: 程伟

Equivalent modeling method of open thin-walled beam under the action of Transverse member

• Received:2015-07-07 Revised:2015-11-02 Published:2015-11-19

Abstract: Satellite structures usually have a lot of open thin-walled beam under the action of transverse stiffening member. Transverse member is generally evenly distributed along the axial direction of the beam. Through the study of such structures, it is theoretically proved that the differential equation of vibration of this structure has the same form with the equation of ordinary open thin-walled beam. Therefore, equivalent calculation can be carried out by using the open thin-walled beam element. In this paper, three kinds of mathematical models of open thin-walled beams are established : the Finite element model, transfer matrix model, analytical model. The equivalent cross section parameters are identified by using Sequential Quadratic Programming. At the same time, the influence of different objective functions on the identification results is analyzed. And a method for estimating the initial parameters of the cross section is presented. For the finite element model, the MALAB and ABAQUS interactive parameters optimization method is proposed. A combination of both full advantages can quickly and efficiently optimize the cross section parameters and this method has strong versatility. Finally, the correctness and accuracy of the equivalent modeling method are verified by experiments. The proposed equivalent modeling method can reduce the number of elements more than ninety percent. By establishing the simplified model, the efficiency of the structural model updating and structure reanalysis can be greatly improved.