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Inverse estimation of heat flux and pressure in functionally graded cylinders with finite length

机译：有限长度的功能梯度钢瓶中的热通量和压力的逆估计

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摘要

An inverse algorithm is employed to estimate the time and spatially varying pressure and heat flux in functionally graded (FG) cylindrical shells with finite length by using the measured displacements and temperatures on their outer surfaces. The solution of corresponding direct problem is used to simulate the measured displacements and temperatures, which is obtained based on the three-dimensional thermoelasticity theory under axisymmetric conditions. As a powerful technique for optimization procedure of the inverse solution, the conjugate gradient method (CGM) together with the discrepancy principle is utilized. The governing differential equations subjected to the related boundary and initial conditions are discretized in both spatial and temporal domains by employing the differential quadrature method (DQM), as an efficient and accurate numerical tool. The good accuracy of the estimated internal pressure and heat flux is shown through different examples and by considering the influence of measurement errors, which validates the presented approach. (C) 2014 Elsevier Ltd. All rights reserved.
机译：通过使用测得的位移和温度在其外表面上使用逆算法来估算具有有限长度的功能梯度（FG）圆柱壳中随时间和空间变化的压力和热通量。相应的直接问题的解用于模拟测得的位移和温度，这是根据轴对称条件下的三维热弹性理论获得的。作为共轭梯度法（CGM）和差异原理一起，是用于求解逆解过程的有力技术。通过使用微分求积法（DQM）作为有效而精确的数值工具，在空间和时间域中离散化了受相关边界和初始条件约束的微分方程。通过不同的示例并考虑了测量误差的影响，表明了估算的内部压力和热通量的良好准确性，从而验证了所提出的方法。 （C）2014 Elsevier Ltd.保留所有权利。

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