高转速硬涂层阻尼双薄壁圆柱壳耦合结构的行波振动特性  

Traveling Wave Vibration Characteristics of a Coupled Double-Thin-Walled Cylindrical Shell Structure with Hard-Coating Damping at High Rotational Speeds

作　　者：王鹏 王宇[1] 常宇枫 王立萍[1] Peng Wang;Yu Wang;Yufeng Chang;Liping Wang(School of Mechanical Engineering and Automation,University of Science and Technology Liaoning,Anshan,114051)

机构地区：[1]辽宁科技大学机械工程与自动化学院,鞍山114051

出　　处：《固体力学学报》2024年第6期846-856,共11页Chinese Journal of Solid Mechanics

摘　　要：对螺栓连接条件下旋转硬涂层阻尼双薄壁圆柱壳耦合结构的振动特性开展了研究.首先,通过改进连续整周的人工弹簧分布方法,构造非连续弧连接来模拟实际螺栓连接条件.其次,基于Sanders壳理论,确定硬涂层壳体结构的应变能.最后,考虑转速的影响并采用Rayleigh-Ritz法推导动力学方程.此外,利用状态空间法进行求解计算,通过文献和有限元方法验证理论方法的合理性.结果表明:连接刚度在10~8~10^(10)区间范围内行波频率显著增大;旋转导致行波频率出现分离现象且整体呈增大趋势;硬涂层厚度越大对行波频率的影响越明显,硬涂层厚度从0提高到0.85 mm时,行波频率最大增长程度可达5.87%.The connection conditions and vibration suppression methods of coupled shell structures have received much attention,particularly as these structures play a crucial role in aero-engine components.In this paper,the vibration characteristics of a rotating hard coating damping double-thin-walled cylindrical shell coupled structure under bolt connection conditions are studied.First,a discontinuous arc connection is constructed to simulate actual bolt connection conditions by improving the artificial spring distribution method of the continuous entire circumference.And the artificial spring technique is used to define the boundary conditions of the shell structure.Next,the strain energy of the hard-coating shell structure is determined based on Sander's shell theory.The effect of rotational speed is considered,and the Rayleigh-Ritz method is used to derive the dynamic equations of the shell structure.In addition,the efficient state space method is used for calculation.The rationality and accuracy of the theoretical methods are validated through literature comparisons and finite element analysis.Additionally,the effects of rotational speed,connection stiffness,hard-coating thickness,and boundary conditions on the traveling wave vibration characteristics of the shell structure are analyzed.The results show that the traveling wave frequency increases significantly when the connection stiffness is in the range of 10~8~10~(10).Besides,the rotation leads to a separation phenomenon and an overall increasing trend in the traveling wave frequency.A greater hard coating thickness notably impacts the traveling wave frequency,exhibiting a maximum increase of 5.87% in the traveling wave frequency when the hard-coating thickness rises from 0 to 0.85 mm.These findings provide valuable theoretical insights and data support for the engineering design of hard-coating coupled double-thin-walled cylindrical shell structures.

关 键 词：双薄壁圆柱壳 硬涂层阻尼 非连续弧连接 Rayleigh-Ritz法 状态空间法 行波振动 

分 类 号：O327[理学—一般力学与力学基础]