获得硬涂层材料的储能模量和损耗因子等力学特性参数是硬涂层复合结构建模及减振优化设计的基础。现有的关于硬涂层材料参数辨识研究通常是基于梁形试件和复杂的实验过程。而这里面向悬臂板结构，提出一种仅需测得涂层前后悬臂板的时域共振自由振动衰减响应，来辨识硬涂层材料力学特性参数的方法。首先，确定了由自由振动衰减响应辨识硬涂层储能模量及损耗因子的原理。进一步，给出了获得上述硬涂层材料参数所需的关键参数（包括响应包络线、即时共振频率和阻尼）的辨识方法。再则，描述了硬涂层板有限元建模以及共振频率、模态应变能和参考应变的求解方法。最后以涂敷NiCoCrAlY+YSZ硬涂层的悬臂薄板为例进行了实例研究，获得了该混合涂层的储能模量及损耗因子。进一步，将获得的硬涂层材料参数代入到有限元分析模型，通过对比试验与有限元计算获得的硬涂层板前6阶共振频率，证明了所辨识的材料参数的合理性。经比较发现，本文辨识获得的硬涂层储能模量及损耗因子随参考应变的变化规律同其他文献基本一致，但本文的结果可直接用于硬涂层板形结构的建模。
Abstract
Obtaining the mechanical parameters of hard coating is the premise of modeling and damping design of hard-coating composite structure. The most studies about identifying the mechanical parameters of hard coating are based on beam specimen and a complex test procedure. Here, a cantilever thin plate structure was considered, and a newer identification method was presented, which only needs to test the free vibration decay responses from resonance status for the uncoated and coated plate. Firstly, based on the free vibration decay responses, the principles of identifying storage modulus and loss factor of hard coating were proposed. Then, to effectively obtain the mechanical parameters of hard coating, the method of identifying some key parameters (such as envelop of response, instant resonance frequency and damping) was given. Next, the FEM modeling of hard-coating plate and solution of resonance frequency, modal strain energy and reference strain were described. Finally, the cantilever thin plate coated NiCoCrAlY+YSZ hard coating was chosen to display the proposed method and the storage and loss factor of this mixing coating were identified. Furthermore, the obtained material parameters were inputted into the created FEM model and the rationality of identified parameters was proved by comparing the first 6 orders resonance frequency obtained by measurement and FEM calculation respectively. The identification results show the change rules of storage modulus and loss factor of hard coating with the strain amplitude are almost consistent with the results listed in the other similar references. However, the results herein can more directly serve for the dynamic modeling of hard-coating plate-shape composite structure.
关键词
自由振动衰减响应 /
硬涂层 /
力学特性参数 /
参数辨识
{{custom_keyword}} /
Key words
free vibration decay response /
hard coating /
mechanical parameters /
identification of parameters
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 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.
[2] Ivancic F, Palazotto A. Experimental considerations for determining the damping coefficients of hard coatings[J]. Journal of Aerospace Engineering, 18 (2005) 8-17
[3] 孙伟，齐飞 ，韩清凯. 基于自由振动衰减信号包络线法辨识硬涂层复合结构的阻尼特性[J]. 振动与冲击，2013,32（12）：50-54
SUN Wei, QI Fei, HAN Qing-kai. Estimating system damping for a hard coating composite structure based on envelope of a free damped vibration signal[J]. Journal of Vibration and Shock, 2013,32（12）：50-54
[4] Tassini N, Patsias S, Lambrinou K. Ceramic coatings: a phenomenological modeling for damping behavior related to microstructural features[J]. Materials Science and Engineering: A, 2006, 442(1): 509-513.
[5] Torvik P J. A slip damping model for plasma sprayed ceramics[J]. Journal of Applied Mechanics, 2009, 76(6): 061018.
[6] Al-Rub R K A, Palazotto A N. Micromechanical theoretical and computational modeling of energy dissipation due to nonlinear vibration of hard ceramic coatings with microstructural recursive faults[J]. International Journal of Solids and Structures, 2010, 47(16): 2131-2142.
[7] Patsias S, Saxton C, Shipton M. Hard damping coatings: an experimental procedure for extraction of damping characteristics and modulus of elasticity[J]. Materials Science and Engineering: A, 2004, 370(1): 412-416.
[8] Tassini N, Lambrinou K, Mircea I, et al. Study of the amplitude-dependent mechanical behaviour of yttria-stabilised zirconia thermal barrier coatings[J]. Journal of the European Ceramic Society, 2007, 27(2): 1487-1491.
[9] 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.
[10] Patsias S, Tassini N, Lambrinou K. Ceramic coatings: Effect of deposition method on damping and modulus of elasticity for yttria-stabilized zirconia[J]. Materials Science and Engineering: A, 2006, 442(1): 504-508.
[11] Wei al-Jen, Lin Jen-Fin. A new method developed to evaluate both the hardness and elastic modulus of a coating–substrate system [J]. Surface & Coatings Technology, 2005, 200 (7): 2489- 2496
[12] Hyung-Jun Kim, Young-Gak Kweon. Elastic modulus of plasma-sprayed coatings determined by indentation and bend tests [J]. Thin Solid Films,1999, 342 (1-2):201-206
[13] ASTM International, ASTME756-04 standard test method for measuring vibration-damping properties of materials, 2005.
[14] Mottershead J E, Link M, Friswell M I. The sensitivity method in finite element model updating: a tutorial[J]. Mechanical Systems and Signal Processing, 2011, 25(7): 2275-2296.
[15] 孙伟，贾师，刘营. 硬涂层悬臂梁减振机理分析模型的建立[J]. 东北大学学报(自然科学版)，2015, 36 (5): 695-698
SUN Wei, JIA Shi, LIU Ying. Establishment of model of damping mechanism for the hard-coating cantilever beam[J]. Journal of Northeastern University, 2015, 36 (5): 695-698
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(1228 KB)
