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首页> 外文期刊>Mathematical Problems in Engineering >Thermoelastic Analysis of Rotating Functionally Graded Truncated Conical Shell by the Methods of Polynomial Based Differential Quadrature and Fourier Expansion-Based Differential Quadrature
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Thermoelastic Analysis of Rotating Functionally Graded Truncated Conical Shell by the Methods of Polynomial Based Differential Quadrature and Fourier Expansion-Based Differential Quadrature

机译：基于多项式微分求积和傅里叶展开式微分求积方法的旋转功能梯度截断圆锥壳热弹性分析

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This paper focuses on the three-dimensional (3D) asymmetric problem of functionally graded (FG) truncated conical shell subjected to thermal field and inertia force due to the rotating part. The FG properties are assumed to be varied along the thickness according to power law distribution, whereas Poisson's ratio is assumed to be constant. On the basis of 3D Green-Lagrange theory in general curvilinear coordinate, the fundamental equations are formulated and then two versions of differential quadrature method (DQM) including polynomial based differential quadrature (PDQ) and Fourier expansion-based differential quadrature (FDQ) are applied to discretize the resulting differential equations. The reliability of the present approach is validated by comparing with known literature where good agreement is reached using considerably few grid points. The effects of different mechanical boundary conditions, temperature fields, rotating angular speed, and shell thickness on the distributions of stress components and displacement in thickness direction for both axisymmetric and asymmetric cases are graphically depicted.
机译：本文着重研究功能梯度（FG）截顶圆锥形壳体的三维（3D）不对称问题，该圆锥形壳由于旋转部件而受到热场和惯性力的作用。假定FG特性根据幂律分布沿厚度变化，而泊松比则假定为常数。基于一般曲线坐标系中的3D Green-Lagrange理论，建立基本方程，然后应用两种版本的微分正交方法（DQM），包括基于多项式的微分正交（PDQ）和基于傅立叶展开的微分正交（FDQ）离散化所得的微分方程。通过与已知文献进行比较来验证本方法的可靠性，在已知文献中，使用很少的网格点即可达成良好的一致性。以图形方式描绘了轴对称和非对称情况下，不同的机械边界条件，温度场，旋转角速度和壳体厚度对应力分量分布和厚度方向位移的影响。

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