中南大学学报（自然科学版）2025，Vol.56Issue(1)：68-79,12.DOI:10.11817/j.issn.1672-7207.2025.01.007
考虑非均匀预紧的螺栓法兰连接双圆柱壳半解析动力学建模与分析
Semi-analytical dynamics modeling and analysis of bolted flanged double cylindrical shells with non-uniform preload
摘要
Abstract
To investigate the effect of non-uniform preload on the vibration characteristics of bolted structures,a semi-analytical dynamic modeling method for a double cylindrical shell with bolted flange connections was proposed.Firstly,a semi-analytical modeling approach was developed considering non-uniform preload in the bolted flange connection of the double cylindrical shell.The influence of the flange on the dynamic characteristics was considered,and a modeling method using connecting arcs to simulate the mechanical properties of the bolted joints was introduced.An energy analysis was performed for the double cylindrical shells,flanges,boundary conditions,and connection conditions at the bolted flanges.Orthogonal polynomials were used as displacement admissible functions.Secondly,the dynamic equations of the double cylindrical shell with bolted flange connections were established by using Lagrange's equations.The created semi-analytical model was validated through an experimental system under both uniform and non-uniform preload conditions.Finally,the model was used to analyze the effects of non-uniform preload location,reduction in preload magnitude,and the number of fully loosened bolts on the natural frequencies and mode shapes of the double cylindrical shell structure.The results show that the decrease in non-uniform preload magnitude reduces the natural frequencies.The reduction of preload at cross positions leads to the more significant decrease in natural frequencies.The increase of the number of loosened bolts causes a relatively uniform small reduction in natural frequencies.These changes also result in mode shapes that are no longer symmetrically distributed around the circumference.关键词
螺栓法兰连接/非均匀预紧力/双圆柱壳结构/半解析建模/振动分析Key words
bolted flange connection/non-uniform preload/double cylindrical shell structure/semi-analytic modeling/vibration analysis分类
机械制造引用本文复制引用
田亚雄,孙伟,杜东旭,刘宏浩..考虑非均匀预紧的螺栓法兰连接双圆柱壳半解析动力学建模与分析[J].中南大学学报（自然科学版）,2025,56(1):68-79,12.基金项目
国家自然科学基金资助项目(12272087)(Project(12272087)supported by the National Natural Science Foundation of China) （12272087）
