RFOR-DQHFEM: Hybrid relaxed first-Order reliability and differential quadrature hierarchical finite element method for multi-physics reliability analysis of conical shells

IF 5.7 1区 工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2024-10-18 DOI:10.1016/j.tws.2024.112583
M. Furjan , R. Kolahchi , M. Yaylacı
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Abstract

In this current work, a hybrid reliability analysis and theoretical frequency technique are suggested for the reliability response of conical shells. Two levels of analyses are proposed as the main loop of the reliability method for finding the failure probability and the second level applied in the main loop for giving the performance function of frequency applied in conical shell structures with multi-physics vibration analysis. A dynamical adjusting procedure is proposed for computing the relaxed factor using the enough descent condition inside the reliability method. The superior convergence rate is considered for selecting the relaxed factor of the proposed first-order reliability method named RFORM. An elastic-electro-mechanical model based on the Higher-Order Shear Deformation Theory (HSDT) is extended for frequency analysis of conical shells. The innovative numerical procedure named Differential Quadrature Hierarchical Finite Element Method (DQHFEM) as a robust framework for giving the vibration behavior of studied mechanical structures is applied for solving motion equations. The developing DQHFEM and RFORM are applied for the laminated, nanocomposite, and piezoelectric conical shell structures with multi-source uncertainties. Increasing the volume percentage of nanoparticles from 0% to 10% significantly enhances the reliability index, with carbon nanoparticles showing a 132% increase, silica nanoparticles showing a 97% increase, and other nanoparticles showing an approximate 40% increase. Also, as moisture content increases from 0% to 30%, the reliability index for a thickness-to-large-radius ratio of 0.2 drops by about five times. Excessive moisture levels (above 20%) result in a negative reliability index, indicating a hazardous condition.
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RFOR-DQHFEM:用于锥壳多物理场可靠性分析的混合松弛一阶可靠性和微分正交分层有限元法
在当前这项工作中,针对锥壳的可靠性响应提出了混合可靠性分析和理论频率技术。提出了两个层次的分析,一个是可靠性方法的主循环,用于计算失效概率;另一个是主循环中的第二个层次,用于给出频率的性能函数,应用于锥形壳体结构的多物理场振动分析。提出了一种动态调整程序,利用可靠性方法中的足够下降条件计算松弛因子。在选择名为 RFORM 的一阶可靠性方法的松弛因子时,考虑了卓越的收敛率。基于高阶剪切变形理论(HSDT)的弹性机电模型被扩展用于锥壳的频率分析。名为 "微分正交分层有限元法(DQHFEM)"的创新数值程序作为一种稳健的框架,用于给出所研究机械结构的振动行为,并应用于求解运动方程。开发的 DQHFEM 和 RFORM 被应用于具有多源不确定性的层状、纳米复合材料和压电锥壳结构。将纳米粒子的体积百分比从 0% 提高到 10%,可显著提高可靠性指数,其中碳纳米粒子提高了 132%,硅纳米粒子提高了 97%,其他纳米粒子提高了约 40%。此外,随着水分含量从 0% 增加到 30%,厚度与大半径比为 0.2 的可靠性指数下降了约五倍。水分含量过高(超过 20%)会导致可靠性指数为负值,表明存在危险情况。
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来源期刊
Thin-Walled Structures
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.
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