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Dynamic study of viscoelastic rotor: Reduction of higher order model using different techniques

机译：粘弹性转子的动力学研究：使用不同技术简化高阶模型

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摘要

Finite element formulation of general viscoelastic rotor reaches a higher order configuration due to the inherent material properties, resulting in a complicated system. The interest of this paper is the application of suitable reduction technique, which helps to rewrite the system equations with important coordinates. In order to understand the best methodology to reduce the higher order model, two different reduction techniques have been used: (i) Iterative Improved Reduction System, (ii) Balanced Realization System. In first case, an iterative algorithm is used to improve the transformation matrix by achieving convergence. Whereas, in second case, Hankel Singular Value Decomposition assures to predict the most controllable and observable states, which helps to reduce the system matrices accurately. The benefit of implementing these techniques is to tackle the problems caused due to skew-symmetric matrices that emanate for an addition of internal material damping and gyroscopic effects. The effectiveness of reduced model is well examined using various dynamic parameters. The agreement between reduced and original system predict the usefulness of this study. (C) 2016 Elsevier Masson SAS. All rights reserved.
机译：普通粘弹性转子的有限元配方由于其固有的材料特性而达到较高阶的构造，从而导致系统复杂。本文的兴趣是应用合适的归约技术，该技术有助于重写具有重要坐标的系统方程。为了理解还原高阶模型的最佳方法，已使用了两种不同的还原技术：（i）迭代改进的还原系统，（ii）平衡实现系统。在第一种情况下，使用迭代算法通过实现收敛来改进变换矩阵。而在第二种情况下，汉高奇异值分解可确保预测最可控和可观察的状态，这有助于准确地减少系统矩阵。实施这些技术的好处是解决因倾斜对称矩阵而产生的问题，这些矩阵由于增加了内部材料阻尼和陀螺效应而产生。使用各种动态参数可以很好地检验简化模型的有效性。简化系统与原始系统之间的一致性预言了这项研究的有用性。 （C）2016 Elsevier Masson SAS。版权所有。

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