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首页> 外文期刊>Mechanical systems and signal processing >Homotopy perturbation technique for improving solutions of large quadratic eigenvalue problems: Application to friction-induced vibration
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Homotopy perturbation technique for improving solutions of large quadratic eigenvalue problems: Application to friction-induced vibration

机译：改进大型二次特征值问题的同型扰动技术：应用于摩擦振动

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摘要

This paper puts forward a projection technique for accurately calculating solutions of large Quadratic Eigenvalue Problem. The aim here is to stabilize the complex eigensolutions whilst reducing residual errors, especially when considering significant damping contribution or asymmetric stiffness matrices. Hence, more confident results can be obtained in the frequency band of interest. To achieve this, high order modes, calculated using the homotopy perturbation technique, are introduced in the projection step of the classical method. This numerical proposal is a generalization of the classical projection, based only on normal modes of the associated undamped problem. To evaluate the efficiency of the suggested method, a finite element application dedicated to a friction-induced vibration problem is investigated.
机译：本文提出了一种预测技术，可准确计算大型特征值问题的解决方案。这里的目的是在减少残留误差时稳定复杂的尖锐素，特别是在考虑显着的阻尼贡献或不对称刚度矩阵时。因此，在感兴趣的频带中可以获得更自信的结果。为实现这一点，在经典方法的投影步骤中引入了使用同谐波扰动技术计算的高阶模式。该数值提议是仅基于相关的未扫描问题的正常模式的经典投影的泛化。为了评估建议方法的效率，研究了专用于摩擦诱导的振动问题的有限元应用。

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