考虑应变依赖性的硬涂层圆柱壳振动特性有限元分析

PDF(1361 KB)

振动与冲击 ›› 2018, Vol. 37 ›› Issue (12) : 17-22.

论文

张月，孙伟

作者信息 +

A finite element analysis of the vibration characteristics of a hardcoating cylindrical shell considering the strain dependence of hard coating

ZHANG Yue, SUN Wei

Author information +

文章历史 +

摘要

硬涂层材料的应变依赖性使分析硬涂层圆柱壳的振动特性成为一项具有挑战性的研究任务。本文提出通过自编有限元程序来解决考虑应变依赖性的硬涂层圆柱壳振动特性计算问题。首先，在用多项式表征硬涂层材料应变依赖性的前提下，研发出一种4节点36自由度的复合单元来描述硬涂层圆柱壳结构，并确定了该单元的质量、刚度矩阵以及基础激励作用下的单元所受的载荷向量。接着，在确定等效应变的基础上，提出了利用Newton-Raphson法求解硬涂层圆柱壳非线性振动响应及共振频率的计算流程。最后，以NiCoCrAlY+YSZ硬涂层圆柱壳为对象进行了实例研究，对其线性和非线性振动特性进行求解，其中将线性计算结果与ANSYS求解结果进行了比对以初步说明研发程序的合理性。而硬涂层圆柱壳的非线性计算结果显示：随着激励幅度的增加，硬涂层圆柱壳显示软式非线性特点。

Abstract

It’s a challenge for the vibration analysis of a hardcoating cylindrical shell with the strain dependent characteristics of hard coating. In this work, considering the strain dependent characteristics, a selfcompiled finite element program was developed which was used to calculate the vibration characteristics of the hardcoating cylindrical shell. Firstly, based on the polynomial characterization of strain dependent mechanical parameters of hard coating, a fournode composite cylindrical shell element with 36degree of freedom was proposed to describe the hardcoating cylindrical shell structure. Then, the mass, stiffness matrix, and the load vector under the base excitation of the element were determined. Next, on the basis of determining the equivalent strain, the procedures of the solution of nonlinear vibration response and the resonant frequency were proposed using the NewtonRaphson method for the hardcoating cylindrical shell. Finally, the NiCoCrAlY+YSZ hard coating cylindrical shell was used as an example to solve the linear and nonlinear vibration characteristics. And the linear results were compared with ANSYS to illustrate the rationality of the developed program preliminarily. The nonlinear results show that the hardcoating cylindrical shell presents a characteristics soft nonlinearity with the increase of excitation amplitude.

导出引用

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

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

参考文献

[1] Chen L H, Huang S C. Vibration attenuation of a cylindrical shell with constrained layer damping strips treatment[J]. Computers & Structures, 2001, 79(14): 1355-1362.
[2] 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.
[3] 石慧荣, 高溥, 李宗刚, 等. 局部约束阻尼柱壳振动分析及优化设计[J]. 振动与冲击, 2013, 32(22): 146-151.
SHI Hui-rong, GAO Pu, LI Zong-gang, et al. Vibration analysis and optimization design of a cylindrical shell treated with constrained layer damping [J]. Journal of vibration and shock, 2013, 32(22): 146-151.
[4] Ivancic F, Palazotto A. Experimental considerations for determining the damping coefficients of hard coatings[J]. Journal of Aerospace Engineering, 2005, 18(1): 8-17.
[5] Blackwell C, Palazotto A, George T J, et al. The evaluation of the damping characteristics of a hard coating on titanium[J]. Shock and Vibration, 2007, 14(1): 37-51.
[6] 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.
[7] Reed S A, Palazotto A N, Baker W P. An experimental technique for the evaluation of strain dependent material properties of hard coatings[J]. Shock and Vibration, 2008, 15(6): 697-712.
[8] Torvik P J. Determination of mechanical properties of non-linear coatings from measurements with coated beams[J]. International Journal of Solids and Structures, 2009, 46(5): 1066-1077.
[9] Sun W, Liu Y. Vibration analysis of hard-coated composite beam considering the strain dependent characteristic of coating material[J]. Acta Mechanica Sinica, 2016: 1-12. Acta Mechanica Sinica (AMS), 2016, 32(4):731–742
[10] Sun W, Liu Y, Du G. Analytical Modeling of Hard-Coating Cantilever Composite Plate considering the Material Nonlinearity of Hard Coating[J]. Mathematical Problems in Engineering, 2015, 2015.
[11] Zheng L, Qiu Q, Wan H, et al. Damping analysis of multilayer passive constrained layer damping on cylindrical shell using transfer function method[J]. Journal of Vibration and Acoustics, 2014, 136(3): 031001.
[12] 李晓妮, 向宇, 黄玉盈, 等. 基于传递矩阵法分析 ACLD 圆柱壳振动控制问题的一种完全力电耦合模型[J]. 振动与冲击, 2011, 30(6): 147-152.
LI Xiao-ni, XIANG Yu, HUANG Yu-ying, et al. Fully coupled electro-mechanical model based on transfer matrix method for vibration control of circular cylindrical shell with active constrained layer damping [J]. Journal of vibration and shock, 2011, 30(6): 147-152.
[13] Jin G, Yang C, Liu Z, et al. A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions[J]. Composite Structures, 2015, 130: 124-142.
[14] Li H, Ying L, Sun W. Analysis of nonlinear vibration of hard coating thin plate by finite element iteration method[J]. Shock and Vibration, 2014, 2014:1-12.
[15] Chakravorty D, Bandyopadhyay J N, Sinha P K. Finite element free vibration analysis of point supported laminated composite cylindrical shells[J]. Journal of Sound & Vibration, 1995, 181(1):43-52.
[16] Sun W, Zhu M W, Wang Z. Free vibration analysis of a hard-coating cantilever cylindrical shell with elastic constraints[J]. Aerospace Science and Technology, 2017, http://dx.doi.org/10.1016/j.ast.2017.01.002.
[17] Sun W, Wang Z, Zhu M W, et al. Identifying the mechanical parameters of hard coating with strain dependent characteristic by an inverse method[J]. Shock & Vibration, 2015, 2015(2): 1-15.