Semi-analytical modeling and vibration characteristics analysis of the orthogonally stiffened cylindrical shell with variable cross-sections of stiffeners

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-10-05 DOI:10.1016/j.tws.2024.112527

Xuedong Sun , Wei Sun , Xiaofeng Liu , Dongxu Du , Kunpeng Xu , Shang Lv

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引用次数: 0

Abstract

The stiffened shell with variable cross-sections of stiffeners (SS-VC) has important applications in aerospace and other fields. Its excellent mechanical properties provide new possibilities for the design and performance improvement of stiffened structural parts. However, its dynamic modeling problems have been urgent to be solved. In this study, the dynamic model of the orthogonally stiffened cylindrical shell with variable cross-sections of stiffeners (OSCS-VC) is established by the semi-analytical method (SAM) and it can be described as follows. The displacement allowable functions of the structure are constructed by using the Gram-Schmidt orthogonalization method. Based on Sanders shell theory, the stress-strain relationships of the longitudinal and ring stiffeners with variable cross-sections are derived under the variable limit integration. The boundary spring stiffness is obtained by the inverse identification technique. The dynamic equation of OSCS-VC is established and solved by using the Lagrange equation. Then, a case study is carried out, the rationality of the semi-analytical dynamic model of OSCS-VC is verified by ANSYS engineering software, literature and the experiment system. Finally, based on the semi-analytical model of OSCS-VC, the influence of the characteristic parameters of cross-sectional functions (CSF) for the longitudinal and ring stiffeners on the natural frequencies is analyzed.

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带有变截面加劲件的正交加劲圆柱壳的半分析建模和振动特性分析

带可变截面加劲件的加劲壳体（SS-VC）在航空航天和其他领域有着重要的应用。其优异的机械性能为加劲结构件的设计和性能改进提供了新的可能性。然而，其动态建模问题一直亟待解决。本研究采用半解析法（SAM）建立了加劲件截面可变的正交加劲圆柱壳体（OSCS-VC）的动力学模型，可描述如下。采用格拉姆-施密特正交化方法构建结构的位移容许函数。根据桑德斯壳理论，在变极限积分法下推导出变截面纵向和环向加强筋的应力应变关系。边界弹簧刚度通过反识别技术获得。利用拉格朗日方程建立并求解了 OSCS-VC 的动态方程。然后，进行了案例研究，通过 ANSYS 工程软件、文献和实验系统验证了 OSCS-VC 半解析动态模型的合理性。最后，在 OSCS-VC 半解析模型的基础上，分析了纵向和环向加强筋的截面函数（CSF）特征参数对固有频率的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.