非均布约束刚度下硬涂层圆柱壳自由振动的半解析建模及分析

PDF(1092 KB)

振动与冲击 ›› 2023, Vol. 42 ›› Issue (20) : 280-285.

论文

杨建，张月，宋华

作者信息 +

Semi-analytical modeling and analysis of free vibration of a hard-coating cylindrical shell with non-uniform constrained stiffness

YANG Jian, ZHANG Yue, SONG Hua

Author information +

文章历史 +

摘要

为有效模拟圆柱壳服役过程的螺栓连接失谐情况，本文提出了一种周向离散非均布弹性约束模型。在此基础上，利用Rayleigh-Ritz法建立非均布约束刚度下硬涂层圆柱壳自由振动半解析模型。以涂敷NiCoCrAlY+YSZ硬涂层材料的薄壁圆柱壳为例，通过理论与实验和有限元结果对比验证了该模型的合理性。同时，进一步探讨了螺栓连接失谐对硬涂层圆柱壳复合结构振动特性的作用规律。结果表明，在不同螺栓数量下，随着约束刚度失谐参数的增加，结构固有频率整体呈现逐渐增加的变化趋势其变化速率逐渐减小。随着螺栓数量的增加，约束刚度失谐参数对硬涂层圆柱壳复合结构固有频率的显著影响整体上逐渐由低周向波数转向高周向波数。

Abstract

To effectively simulate the bolt detuning of cylindrical shell during service, an improved circumferential discrete non-uniform elastic constraint model was proposed. Then the Rayleigh-Ritz method was applied to establish the semi-analytical mode of free vibration of the hard-coating cylindrical shell with non-uniform constrained stiffness. Taking the shell coated with NiCoCrAlY+YSZ hard coating as an example, the model rationality was verified by comparing the theoretical frequencies with the experimental and finite element method results. Meanwhile, the effects of bolted connection detuning on the vibration characteristics of the hard-coating cylindrical shell were further discussed. The results show that, with the increase of the detuning parameter, the natural frequencies present a gradually increasing trend in a whole and its change rate decreases under different bolt number. Moreover, with the increase of bolt number, the significant influence scope of the detuning parameter on the natural frequencies gradually changes from low circumferential wave number to high circumferential wave number.

导出引用

杨建，张月，宋华. 非均布约束刚度下硬涂层圆柱壳自由振动的半解析建模及分析[J]. 振动与冲击, 2023, 42(20): 280-285

YANG Jian, ZHANG Yue, SONG Hua. Semi-analytical modeling and analysis of free vibration of a hard-coating cylindrical shell with non-uniform constrained stiffness[J]. Journal of Vibration and Shock, 2023, 42(20): 280-285

参考文献

[1] Masti R S, Sainsbury M G. Vibration damping of cylindrical shells partially coated with a constrained viscoelastic treatment having a standoff layer [J]. Thin-walled structures, 2005, 43(9): 1355-1379.
[2] Limarga A M, Duong T L, GREGORI G, et al. High-temperature vibration damping of thermal barrier coating materials [J]. Surface and Coatings Technology, 2007, 202(4): 693-697.
[3] 王宇, 夏鑫, 杨志宏, 等. 高转速硬涂层阻尼薄壁圆柱壳的行波共振特性研究[J]. 振动与冲击, 2021, 40(13): 73-81.
WANG Yu，XIA Xin，YANG Zhihong，et al. Traveling wave resonance characteristics of thin walled cylindrical shells with high rotating speed and hard coating damping[J]. Journal of Vibration and Shock , 2021, 40(13): 73-81.
[4] Filippi S, Torvik P J. A methodology for predicting the response of blades with nonlinear coatings [J]. Journal of Engineering for Gas Turbines and Power, 2011, 133(4): 042503.
[5] Li Hui, Sun Wei, Zhu Mingwei, et al. Experimental study on the influence on vibration characteristics of thin cylindrical shell with hard coating under cantilever boundary condition[J]. Shock and Vibration, 2017, 2017: 1751870.
[6] 李朝峰, 唐千升. 螺栓连接失谐对旋转鼓筒动力学特性影响[C]. 第十届全国动力学与控制学术会议论文集.西安：中国力学学会动力学与控制专业委员会，2016.
[7] Sun Wei, Zhu Ming, Wang Z. Free vibration analysis of a hard-coating cantilever cylindrical shell with elastic constraints [J]. Aerospace Science and Technology, 2017, 63: 232-244.
[8] Zhang Yue, Sun Wei, Yang Jian. A new finite element formulation for nonlinear vibration analysis of the hard-coating cylindrical shell[J]. Coatings, 2017, 7(5): 70.
[9] Zhang Yue, Sun Wei, Yang Jian, et al. Analytical analysis of forced vibration of the hard-coating cylindrical shell with material nonlinearity and elastic constraint[J]. Composite Structures, 2018, 187: 281-293.
[10] Jin Guoyong, Ye Tiangui, Chen Yuehua, et al. An exact solution for the free vibration analysis of laminated composite cylindrical shells with general elastic boundary conditions[J]. Composite Structures, 2013, 106: 114-127.
[11] Song Xuyuan, Han Qinghai, Zhai Jingyu. Vibration analyses of symmetrically laminated composite cylindrical shells with arbitrary boundaries conditions via Rayleigh–Ritz method[J]. Composite Structures, 2015, 134: 820-830.
[12] Qu Yegao, Hua Hongxing, Meng Guang. A domain decomposition approach for vibration analysis of isotropic and composite cylindrical shells with arbitrary boundaries[J]. Composite Structures, 2013, 95: 307-321.
[13] 张月, 孙伟. 考虑应变依赖性的硬涂层圆柱壳振动特性有限元分析[J]. 振动与冲击, 2018, 37(12): 17-22, 40.
ZHANG Yue，SUN Wei. A finite element analysis of the vibration characteristics of a hard-coating cylindrical shell considering the strain dependence of hard coating[J]. Journal of Vibration and Shock, 2018, 37(12): 17-22.
[14] Bhat R B. Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method [J]. Journal of Sound and Vibration, 1985, 102(4): 493-499.
[15] Yang Jian, Song Hua, Chen Dong, et al. Free vibration and damping analysis of the cylindrical shell partially covered with equidistant multi-ring hard coating based on a unified Jacobi-Ritz method[J]. Science Progress, 2021, 104(3): 1-21.
[16] Zhang Yue, Sun Wei, Yang Jian, et al. Nonlinear vibration analysis of a hard-coating cylindrical shell with elastic constraints by finite element method[J]. Nonlinear Dynamics, 2017, 90: 2879-2891.