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首页> 外文期刊>Applied Mathematical Modelling >Substructuring tools for probabilistic analysis of instrumented nonlinear moving oscillator-beam systems
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Substructuring tools for probabilistic analysis of instrumented nonlinear moving oscillator-beam systems

机译：用于仪器非线性移动振子-光束系统概率分析的子结构工具

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摘要

The study considers the application of finite element modeling, combined with numerical solutions of governing stochastic differential equations, to analyze instrumented nonlinear moving vehicle-structure systems. The focus of the study is on achieving computational efficiency by deploying, within a single modeling framework, three substructuring schemes with different methodological moorings. The schemes considered include spatial substructuring schemes (involving free-interface coupling methods), a spatial mesh partitioning scheme for governing stochastic differential equations (involving the use of a predictor corrector method with implicit integration schemes for linear regions and explicit schemes for local nonlinear regions), and application of the Rao-Blackwellization scheme (which permits the use of Kalman's filtering for linear substructures and Monte Carlo filters for nonlinear substructures). The main effort in this work is expended on combining these schemes with provisions for interfacing of the substructures by taking into account the relative motion of the vehicle and the supporting structure. The problem is formulated with reference to an archetypal beam and multi-degrees of freedom moving oscillator with spatially localized nonlinear characteristics. The study takes into account imperfections in mathematical modeling, guide way unevenness, and measurement noise. The numerical results demonstrate notable reduction in computational effort achieved on account of introduction of the substructuring schemes.
机译：该研究考虑了有限元建模的应用，结合控制随机微分方程的数值解，来分析仪表化的非线性移动车辆-结构系统。该研究的重点是通过在单个建模框架内部署具有不同方法学系泊的三个子构造方案来实现计算效率。所考虑的方案包括空间子结构方案（涉及自由接口耦合方法），用于控制随机微分方程的空间网格划分方案（涉及对线性区域使用隐式积分方案和局部非线性区域使用显式方案的预测器校正器方法） ，以及Rao-Blackwellization方案的应用（允许对线性子结构使用Kalman滤波，对于非线性子结构使用Monte Carlo滤波器）。这项工作的主要工作是通过考虑车辆和支撑结构的相对运动，将这些方案与子结构的接口相结合。该问题是参考原型光束和具有空间局部非线性特性的多自由度移动振荡器提出的。这项研究考虑了数学建模的不完善之处，引导方式的不均匀性以及测量噪声。数值结果表明，由于引入了子结构方案，计算量显着减少。

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