位移协调的薄壁梁非刚性连接动力学建模

刘咏璐; 丛虹霄; 李飞; 杜尧; 张磊

doi:10.13206/j.gjgS25091502

位移协调的薄壁梁非刚性连接动力学建模

doi: 10.13206/j.gjgS25091502

刘咏璐¹,
丛虹霄¹,
李飞¹,
杜尧²,
张磊^2, ,

1. 哈尔滨电气集团海洋智能装备有限公司, 哈尔滨 150028;
2. 河海大学机电工程学院, 江苏常州 213200

基金项目:

海南省科技计划三亚崖州湾科技城科技创新联合项目（2021CXLH0001）。

详细信息

作者简介:
刘咏璐,硕士研究生,主要从事海洋智能装备技术研发工作,liuyongl@harbin-electric.com。

通讯作者:
张磊,副教授,硕士生导师,leizhang@hhu.edu.cn。

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出版历程
- 收稿日期: 2025-09-15
- 网络出版日期: 2026-06-08

Dynamic Modeling of Thin-Walled Beams with Non-Rigid Connections Considering Displacement Compatibility

1. Harbin Electric Corporation Marine Intelligent Company Limited, Harbin 150028, China;
2. College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213200, China

摘要

摘要: 基于一维高阶梁理论与位移协调条件，提出了一种针对非刚性连接薄壁结构的动力学建模方法。通过引入节点域位移协调方程与单元耦合条件，建立了能够精确描述截面畸变与接合面柔性效应的梁-节点耦合模型。该方法通过建立节点位移约束关系与刚度集成策略，在严格保证运动学协调性的基础上，实现了对高阶模态耦合行为的高效表征。数值算例表明，所建模型能够以显著优于传统梁模型的精度预测结构的动力学响应：在非刚性连接结构细化区域的自由振动分析中，前9阶固有频率预测误差分别不超过10%；在瞬态响应分析中，与三维壳模型结果高度一致。此外，该模型单元数量仅为壳模型的1%左右，计算效率显著提升，在轻量化薄壁结构的概念设计与参数优化阶段表现出良好的工程应用价值。
- 一维高阶梁理论 /
- 非刚性连接 /
- 位移协调 /
- 薄壁结构 /
- 动力学建模
Abstract: Based on the one-dimensional higher-order beam theory and displacement compatibility conditions， this paper proposed a dynamic modeling method for thin-walled structures with non-rigid connections. By introducing nodal domain displacement compatibility equations and element coupling conditions， a beam-joint coupling model capable of accurately describing section distortion and flexibility effects of joint interfaces was established. This method， through establishing nodal displacement constraint relationships and stiffness integration strategies， achieved efficient characterization of higher-order modal coupling behavior while strictly ensuring kinematic consistency. Numerical examples demonstrated that the proposed model could predict the dynamic response of the structure with significantly better accuracy than traditional beam models： in the vibration analysis of the non-rigid connection structures， the errors in predicting the first nine natural frequencies did not exceed 10% ； in transient response analysis， the results were highly consistent with those of the three-dimensional shell model. Furthermore， the number of elements in this model was only about 1% of that in the shell model， significantly improving computational efficiency， and demonstrating good engineering application value in the conceptual design and parameter optimization stages of light weight thin-walled structures.
- one-dimensional higher-order beam theory /
- non-rigid connections /
- displacement compatibility /
- thin-walled structures /
- dynamic modeling

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参考文献(29)

[1]	Khalid I，Qureshi Z A，Oterkus S，et al. Structural Health Monitoring of aerospace thin plate and shell structures using the inverse finite element method（iFEM）[J]. Thin-Walled Structures，2025，209:112923.
[2]	Yang Y B，Mo X Q，Shi K，et al. Effect of damping on torsional-flexural frequencies of monosymmetric thin-walled beams scanned by moving vehicles[J]. Thin-Walled Structures，2024，198:111633.
[3]	Han Q，Wu C，Liu M，et al. Corotational isogeometric shear deformable geometrically exact spatial form beam element for general large deformation analysis of flexible thin-walled beam structures[J]. Thin-Walled Structures，2024，198:111684.
[4]	Agudo A，Agapito L，Calvo B，et al. Good vibrations:a modal analysis approach for sequential non-rigid structure from motion[C]// Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition. Columbus:2014:1558- 1565.
[5]	Yoon K，Lee P S，Kim D N. An efficient warping model for elastoplastic torsional analysis of composite beams[J]. Composite Structures，2017，178:37- 49.
[6]	Kim J，Choi S，Kim Y Y，et al. Hierarchical derivation of orthogonal cross--section modes for thin-walled beams with arbitrary sections[J]. Thin-Walled Structures，2021，161:107491.
[7]	Sinha A. Free vibration of a Timoshenko beam with arbitrary nonuniformities，discontinuities and constraints[J]. Journal of Vibration Engineering & Technologies，2023，11（5）:2099- 2108.
[8]	Capdevielle S，Grange S，Dufour F，et al. A multifiber beam model coupling torsional warping and damage for reinforced concrete structures[J]. European Journal of Environmental and Civil Engineering，2016，20（8）:914- 935.
[9]	Vieira R F，Virtuoso F B E，Pereira E B R. A higher order beam model for thin-walled structures with in-plane rigid cross-sections[J]. Engineering Structures，2015，84:1- 18.
[10]	Vieira R F，Virtuoso F B E，Pereira E B R. Definition of warping modes within the context of a higher order thin-walled beam model[J]. Computers & Structures，2015，147:68- 78.
[11]	Bebiano R，Basaglia C，Camotim D，et al. GBT buckling analysis of generally loaded thin-walled members with arbitrary flat-walled cross-sections[J]. Thin-Walled Structures，2018，123:11- 24.
[12]	Ádány S. Modal identification of thin-walled members by using the constrained finite element method[J]. Thin-Walled Structures，2019，140:31- 42.
[13]	Jin S，Li Z，Huang F，et al. Constrained shell finite element method for elastic buckling analysis of thin-walled members[J]. Thin-Walled Structures，2019，145:106409.
[14]	Gao Y. The finite element analysis of telescopic boom of forklift used in coal mine[C]// 2021 4th World Conference on Mechanical Engineering and Intelligent Manufacturing（WCMEIM）. Shanghai:2021:36- 40.
[15]	Pagani A，Carrera E，Ferreira A J M. Higher-order theories and radial basis functions applied to free vibration analysis of thin-walled beams[J]. Mechanics of Advanced Materials and Structures，2016，23（9）:1080- 1091.
[16]	Le T B，Christenson A，Calderer T，et al. A thin-walled composite beam model for light-weighted structures interacting with fluids[J]. Journal of Fluids and Structures，2020，95:102968.
[17]	Mundo D，Hadjit R，Donders S，et al. Simplified modelling of joints and beam-like structures for BIW optimization in a concept phase of the vehicle design process[J]. Finite Elements in Analysis and Design，2009，45（6/7）:456- 462.
[18]	Li S，Feng X. Study of structural optimization design on a certain vehicle body-in-white based on static performance and modal analysis[J]. Mechanical Systems and Signal Processing，2020，135:106405.
[19]	Shojaeefard M H，Khalkhali A，Sarmadi M，et al. Investigation on the optimal simplified model of BIW structure using FEM[J]. Latin American Journal of Solids and Structures，2015，12（10）:1972- 1990.
[20]	Mundo D，Donders S，Hadjit R，et al. Concept modelling of automotive beams，joints and panels[C]// Proc. World Scientific and Engineering Academy and Society（WSEAS）International Conference on Finite Differences，Finite Elements，Finite Volumes and Boundary Elements.Bucharest Romania:2010:20- 22.
[21]	Kabir M M，Izanloo M，Khalkhali A. Concept design of vehicle structure for the purpose of computing torsional and bending stiffness[J]. International Journal of Automotive Engineering，2017，7:2370- 2377.
[22]	Jang G W，Kim Y Y. Vibration analysis of piecewise straight thin-walled box beams without using artificial joint springs[J]. Journal of Sound and Vibration，2009，326（3/4/5）:647- 670.
[23]	Jang G W，Kim Y Y. Fully coupled 10-degree-of-freedom beam theory for piecewise straight thin-walled beams with general quadrilateral cross sections[J]. Journal of Structural Engineering，2010，136（12）:1596- 1607.
[24]	Choi S，Jang G W，Young K Y. Exact matching condition at a joint of thin-walled box beams under out-of-plane bending and torsion[J]. Engineering Structures，2016，124:96- 112.
[25]	Choi S，Kim Y Y. Analysis of two box beams-joint systems under in-plane bending and axial loads by one-dimensional higher-order beam theory[J]. International Journal of Solids and Structures，2016，90:69- 94.
[26]	Choi S，Kim Y Y. Exact matching at a joint of multiply-connected box beams under out-of-plane bending and torsion[J]. Engineering Structures，2016，124:96- 112.
[27]	Kim J，Jang G W，Kim Y Y. Joint modeling method for higher-order beam-based models of thin-walled frame structures[J]. International Journal of Mechanical Sciences，2022，220:107132.
[28]	Nguyen N L，Jang G W，Choi S，et al. Analysis of thin-walled beam-shell structures for concept modeling based on higher-order beam theory[J]. Computers & Structures，2018，195:16- 33.
[29]	Nguyen N L，Jang G W. Joint modeling using nonrigid cross-sections for beam-based analysis of a car body[J]. Computers & Structures，2021，257:106648.