Fillet effects on hemispherical shell resonators: Analytical insights for enhanced structural integrity

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-01-19 DOI:10.1016/j.tws.2025.112965

Lingxia Liu , Qixing Liu , Shuangxi Shi , Fengming Li

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引用次数: 0

Abstract

This study investigates the impact of fillet geometry on the dynamic and thermoelastic damping (TED) properties of hemispherical shell resonators, commonly used in composite structural applications. Fillets are often applied to reduce stress concentrations and improve structural integrity, but their influence on the mechanical behavior and thermoelastic quality factor (Q_TED) of resonators has not been thoroughly examined. An analytical approach is presented to evaluate the free vibration and TED characteristics of filleted hemispherical shells. The model incorporates variations in shell thickness to represent fillet effects and applies the first-order shear deformation theory (FSDT) for theoretical derivation. Mode shapes are described using a combination of Jacobi polynomials and Fourier series, and the equations of motion are derived using Hamilton's principle and the assumed mode method. The analytical model for the Q_TED is developed by calculating the dissipated energy and the maximum elastic potential energy of the shell. The accuracy of the model is validated through comparison with existing literature and finite element method (FEM) simulations. Numerical examples highlight the effect of fillet geometry on the vibration modes and Q_TED characteristics, offering insights into the optimization of fillet design for improved performance in hemispherical shell resonators.

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半球壳谐振器的圆角效应：增强结构完整性的分析见解

本研究探讨了圆角几何形状对半球形壳体谐振器动态和热弹性阻尼（TED）特性的影响，这种谐振器通常用于复合结构应用中。圆角通常用于减少应力集中和改善结构完整性，但其对谐振器机械行为和热弹性品质因数（QTED）的影响尚未得到深入研究。本文提出了一种分析方法，用于评估滤波半球形壳体的自由振动和 TED 特性。该模型结合了壳体厚度的变化来表示圆角效应，并应用一阶剪切变形理论（FSDT）进行理论推导。采用雅可比多项式和傅里叶级数相结合的方法来描述模态形状，并利用汉密尔顿原理和假定模态法推导出运动方程。通过计算耗散能量和壳体的最大弹性势能，建立了 QTED 的分析模型。通过与现有文献和有限元法（FEM）模拟进行比较，验证了模型的准确性。数值示例强调了圆角几何形状对振动模式和 QTED 特性的影响，为优化圆角设计以提高半球形壳体谐振器的性能提供了启示。

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.