Dynamic stiffness–based free vibration study of moderately thick circular cylindrical shells

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-09-25 DOI:10.1016/j.tws.2025.114020

Nevenka Kolarević, Marija Nefovska-Danilović

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Abstract

This paper presents an advanced application of the dynamic stiffness method for the free vibration analysis of moderately thick circular cylindrical shells, based on a generalized Flügge shell theory accounting for shear deformation, rotary inertia and effects of initial stresses. Unlike previous studies, the governing differential equations are solved exactly for each frequency of interest, eliminating the need for numerical approximations in the solution process. An exact dynamic stiffness matrix derived from the strong-form solution is developed for a fully free cylindrical shell element and implemented in a genuine MATLAB code to efficiently compute natural frequencies and mode shapes. The numerical study includes examples featuring stepwise thickness variations, intermediate supports, and initial stresses, providing insights into a wide range of structural applications. The results are validated through comparison with finite element analysis and published data, demonstrating the accuracy, reliability, and computational efficiency of the proposed approach for complex cylindrical shell structures. Additionally, the proposed method addresses limitations of previous studies by capturing all relevant natural frequencies. Finally, numerous high-accuracy results are provided to serve as benchmark solutions for validating future research in this field.

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基于动力刚度的中厚圆柱壳自由振动研究

基于考虑剪切变形、转动惯量和初始应力影响的广义fl gge壳理论，提出了动刚度法在中厚圆柱壳自由振动分析中的先进应用。与以前的研究不同，控制微分方程对每个感兴趣的频率精确求解，消除了在求解过程中数值近似的需要。针对完全自由圆柱壳单元，开发了基于强形式解的精确动态刚度矩阵，并在真正的MATLAB代码中实现，以有效地计算固有频率和模态振型。数值研究包括具有逐步厚度变化，中间支撑和初始应力的示例，为广泛的结构应用提供见解。通过与有限元分析和已发表数据的比较，验证了所提方法对复杂圆柱壳结构的精度、可靠性和计算效率。此外，所提出的方法通过捕获所有相关的固有频率来解决先前研究的局限性。最后，提供了许多高精度的结果，作为验证该领域未来研究的基准解决方案。

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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.