基础随机激励下纤维增强复合薄板振动疲劳寿命预报

许卓; 徐鹤松; 李晖; 王相平; 张海洋; 刘洋; 孙伟; 马辉; 赵丙峰; 韩清凯; 贾璞; 周晋; 闻邦椿

doi:10.13224/j.cnki.jasp.20220155

基础随机激励下纤维增强复合薄板振动疲劳寿命预报

doi: 10.13224/j.cnki.jasp.20220155

许卓^{1, 2},
徐鹤松³,
李晖^{3, 4,*, ,},
王相平⁴,
张海洋⁴,
刘洋⁴,
孙伟³,
马辉³,
赵丙峰³,
韩清凯³,
贾璞⁵,
周晋⁵,
闻邦椿³

1.
东北电力大学机械工程学院，吉林吉林 132011
2.
江西新能源科技职业学院机电工程学院，江西新余 338004
3.
东北大学机械工程与自动化学院，沈阳 110819
4.
中国航发沈阳发动机研究所航空发动机冲击动力学重点实验室，沈阳 110015
5.
西安交通大学机械工程学院，西安 710054

基金项目: 国家自然科学基金（51970530，U1708257）；中央高校基本科研业务费专项资金（N2103026）；装备预研重点实验室基金（6142905192512）；东北电力大学博士科研启动基金（BSJXM-2020221）

详细信息

作者简介:
许卓（1986-），男，讲师，博士，主要从事复合结构减振降噪研究

通讯作者:
李晖（1982-），男，副教授、博士生导师，博士，主要从事复合结构减振降噪研究。E-mail：lh200300206@163.com

中图分类号: V233.1
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- 文章访问数: 152
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- 被引次数: 0
出版历程
- 收稿日期: 2022-03-26
- 网络出版日期: 2022-12-05

Vibration fatigue life prediction of fiber reinforced composite thin plate under basic random excitation

XU Zhuo^{1, 2},
XU Hesong³,
LI Hui^{3, 4,*
, ,},
WANG Xiangping⁴,
ZHANG Haiyang⁴,
LIU Yang⁴,
SUN Wei³,
MA Hui³,
ZHAO Bingfeng³,
HAN Qingkai³,
JIA Pu⁵,
ZHOU Jin⁵,
WEN Bangchun³

1.
School of Mechanical Engineering， Northeast Electric Power University，Jilin Jilin 132011，China
2.
School of Mechanical and Electrical Engineering， Jiangxi New Energy Technology Institute，Xinyu Jiangxi 338004，China
3.
School of Mechanical Engineering and Automation， Northeastern University，Shenyang 110819，China
4.
Key Laboratory of Aeroengine Impact Dynamics，Shenyang Engine Research Institute， Aero Engine Corporation of China，Shenyang 110015，China
5.
School of Mechanical Engineering，Xi’an Jiaotong University，Xi’an 710054，China

摘要

摘要:
针对传统有限元建模黑箱操作多、计算成本大、不具有自主知识产权等问题，基于经典层合板理论，随机振动理论和Miner线性积累损伤准则，建立了基础随机激励下纤维增强复合薄板振动疲劳寿命预测的解析模型。基于应力模态法，推导了纤维增强复合薄板的应力频响函数，在考虑随机激励的基础上，得到了结构的随机振动等效应力功率谱密度函数。通过Dirlik、Bendat和Benasciutti-Tovo三种频域模型对应的概率密度函数，成功求解了相应的振动疲劳寿命。另外，采用ANSYS与nCode软件对模型及其预测结果的正确性进行了验证，研究发现该模型寿命计算结果相对于商业软件计算结果的偏差不超过14.8%，但计算效率提高了17%～33%。因此，该模型可为预测随机激励下各向异性复合薄板的振动疲劳问题，提供一种思路和工具。
- 随机激励 /
- 解析法 /
- 应力功率谱 /
- 振动疲劳 /
- 疲劳寿命
Abstract:
In order to solve the problems of traditional finite element modeling such as black box operation, high computational cost and lack of independent intellectual property rights, an analytical model for vibration fatigue life prediction of fiber reinforced composite thin plate under basic random excitation based on classical laminated plate theory, random vibration theory and Miner's linear accumulation damage criterion was established. Based on the stress modal method, the stress frequency response function of the fiber reinforced composite plate was deduced, and the random vibration equivalent stress power spectral density function of the structure was obtained considering the random excitation. Based on the probability density function corresponding to the Dirlik, Bendat and Benasciutti-Tovo frequency domain models, the corresponding vibration fatigue life was solved successfully. In addition, the correctness of the model and prediction results were verified by using ANSYS and nCode software. It was found that the deviations of life calculation results obtained by this model and the above commercial software were less than 14.8%. However, the calculation efficiency was improved by about 17% to 33%. Therefore, the model can provide an idea and a tool for predicting the vibration fatigue of anisotropic composite sheet under random excitation.
- random excitation /
- analytical method /
- stress power spectrum /
- vibration fatigue /
- fatigue life

HTML

图 1 基础随机激励下纤维增强层合板的理论模型

Figure 1. Theoretical model of fiber composite plate under basic random excitation

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图 2 复合薄板有限元模型

Figure 2. Finite element model of composite thin plate

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图 3 随机激励载荷谱

Figure 3. Random excitation load spectrum

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图 4 本文和nCode软件计算获得的应力功率谱密度曲线

Figure 4. Stress power spectral density curve calculated by this paper and nCode software

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表 1 解析模型与有限元模型计算获得的复合薄板的前4阶固有频率及其偏差

Table 1. The first 4 natural frequencies and their deviations of composite thin plate calculated by analytical model and finite element model

项目	固有频率
项目	1阶	2阶	3阶	4阶
有限元模型计算值/Hz	41.2	159.1	257.8	527.0
解析模型计算值/Hz	41.4	160.5	260.4	533.6
偏差/%	0.5	0.9	1.0	1.3

下载: 导出CSV

表 2 不同随机激励作用下本文提出的解析预测方法和nCode软件预测获得的疲劳寿命、计算时间及其偏差

Table 2. Fatigue life, calculation time and deviation predicted by analytic prediction method proposed in this paper and nCode software under different random excitations

类型	频域模型	本文计算寿命/min	nCode软件计算寿命/min	计算精度偏差/%	本文计算耗时/s	nCode软件计算耗时/s	计算效率偏差/%
窄带恒值谱	Dirlik	117.5	109.0	7.8	23.7	31.2	−24.0
	Bendat	117.1		7.4	19.5		−37.5
	Tovo-Benasciutti	117.7		8.0	20.8		−33.3
宽带梯形谱	Dirlik	6921.0	6266.7	10.4	30.3	36.5	−17.0
	Bendat	7067.5		12.8	26.2		−28.2
	Tovo-Benasciutti	7193.8		14.8	27.5		−24.7

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