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The Displacement Analysis Investigation for Variable Gradient Parameters Functionally Graded Materials Based on Strip Element Method

机译：基于条形单元法的梯度功能变量梯度材料的位移分析研究

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摘要

This paper adopted the strip element method to research the displacement response of functionally graded material structure with variable gradient parameters under mechanical loading. Based on the dynamic equilibrium equation of the system, strip element method theory was established through the principle of virtual work to get the control equations of functionally graded materials plane problem, using the modal superposition method to complete the solution of the equation and obtain the displacement distribution of the FGM plates with variable gradient parameters. The accuracy of the calculation method was verified by comparison with the result of finite element method. The results show that the displacement response of the strip element method is consistent with the finite element method. With the increase of the gradient coefficient, the ceramic content is increased and the material stiffness is also increased; then the displacement response caused by external loading is decreased. With the increase of the gradient coefficient, the influence of the gradient coefficient on the displacement response is decreased gradually.
机译：本文采用条形单元法研究了机械载荷作用下梯度参数可变的功能梯度材料结构的位移响应。基于系统的动态平衡方程，通过虚拟原理建立了条元法理论，得到了功能梯度材料平面问题的控制方程，利用模态叠加法完成了方程的求解，得到了位移。梯度参数可变的FGM板的分布。通过与有限元方法的比较，验证了该计算方法的准确性。结果表明，条形单元法的位移响应与有限元法是一致的。随着梯度系数的增加，陶瓷含量增加，材料刚度也增加。则减小了外部荷载引起的位移响应。随着梯度系数的增加，梯度系数对位移响应的影响逐渐减小。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|8757132.1-8757132.9|共9页
  • 作者

    Tian J. H.; Ma L. L.;

  • 作者单位

    Xian Technol Univ, Sch Mechatron Engn, CAE Anal Room Engn Applicat, Xian 710021, Shaanxi, Peoples R China;

    Xian Technol Univ, Sch Mechatron Engn, CAE Anal Room Engn Applicat, Xian 710021, Shaanxi, Peoples R China;

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