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首页> 外文期刊>Mathematical Problems in Engineering >Analytical Modeling of Hard-Coating Cantilever Composite Plate considering the Material Nonlinearity of Hard Coating
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Analytical Modeling of Hard-Coating Cantilever Composite Plate considering the Material Nonlinearity of Hard Coating

机译：考虑硬涂层材料非线性的硬涂层悬臂复合板的解析模型

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摘要

Due to the material nonlinearity of hard coating, the coated structure produces the nonlinear dynamical behaviors of variable stiffness and damping, which make the modeling of hard-coating composite structure become a challenging task. In this study, the polynomial was adopted to characterize this material nonlinearity and an analytical modeling method was developed for the hard-coating composite plate. Firstly, to relate the hard-coating material parameters obtained by test and the analytical model, the expression of equivalent strain of composite plate was derived. Then, the analytical model of hard-coating composite plate was created by energy method considering the material nonlinearity of hard coating. Next, using the Newton-Raphson method to solve the vibration response and resonant frequencies of composite plate and a specific calculation procedure was also proposed. Finally, a cantilever plate coated with MgO + Al2O3 hard coating was chosen as study case; the vibration response and resonant frequencies of composite plate were calculated using the proposed method. The calculation results were compared with the experiment and general linear calculation, and the correctness of the created model was verified. The study shows the proposed method can still maintain an acceptable precision when the material nonlinearity of hard coating is stronger.
机译：由于硬涂层的材料非线性，涂层结构产生了可变刚度和阻尼的非线性动力学行为，这使得硬涂层复合结构的建模成为一项艰巨的任务。在这项研究中，采用多项式来表征材料的非线性，并为硬涂层复合板开发了一种解析建模方法。首先，结合试验得到的硬涂层材料参数和解析模型，推导了复合板等效应变的表达式。然后，通过能量法，考虑了硬涂层材料的非线性，建立了硬涂层复合板的分析模型。接着，利用牛顿-拉夫森法求解复合板的振动响应和共振频率，并提出了具体的计算程序。最后，选择了涂有MgO + Al2O3硬涂层的悬臂板作为研究案例。利用该方法计算了复合板的振动响应和共振频率。将计算结果与实验和一般线性计算进行比较，验证了所建立模型的正确性。研究表明，当硬涂层的材料非线性较强时，该方法仍可以保持可接受的精度。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第17期|978392.1-978392.14|共14页
  • 作者

    Sun Wei; Liu Ying; Du Guangyu;

  • 作者单位

    Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Peoples R China;

    Shanghai Jiao Tong Univ, State Key Lab Mech Syst & Vibrat, Inst Vibrat Shock & Noise, Shanghai 200240, Peoples R China;

    Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Peoples R China;

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