论文标题
从振动测试数据中获取薄复合结构的弹性特性
Acquiring elastic properties of thin composite structure from vibrational testing data
论文作者
论文摘要
从振动测试的数据中获取复合材料的弹性特性的问题。样品被认为遵守线性弹性定律，并受到粘弹性阻尼的影响。在谐波载荷下进行此类样品的横向运动的BVP由有限元方法制定并解决。然后将获取弹性参数的问题作为非线性最小二平方优化问题提出。自动分化技术用于稳定，有效地计算梯度和Hessian的使用允许使用经过良好研究的第一阶和二阶优化方法，即牛顿和BFGS。为了为实验计划提供见解，分析了模拟数据上的数值实验的结果。
The problem of acquiring elastic properties of a composite material from the data of the vibrational testing is considered. The specimen is considered to abide by the linear elasticity laws and subject to viscoelastic damping. The BVP for transverse movement of such a specimen under harmonic load is formulated and solved with finite-element method. The problem of acquiring the elastic parameters is then formulated as a nonlinear least square optimization problem. The usage of the automatic differentiation technique for stable and efficient computation of the gradient and hessian allows to use well-studied first and second order optimization methods, namely Newton and BFGS. The results of the numerical experiments on simulated data are analyzed in order to provide insights for the experiment planning.
