Devesh Kumar, Dave Carlson, J. S. Kumar, Jianming Cao, Bruce Engelmann
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引用次数: 0
摘要
频率响应分析通常可以提供大量有关整个工作范围内系统响应的信息。如果使用时域方法,计算成本可能会很高,尤其是对于大型结构模型。由于系统中存在非线性,因此很难采用标准的频率响应分析技术,因为这些技术本质上是线性的。如果系统包含轻度非线性,并且系统响应可以假定为周期性的,那么就有可能利用谐波平衡技术获得系统的非线性频率响应。本文介绍了谐波平衡法在非线性结构动力学问题求解中的应用。为了提高求解的鲁棒性并捕捉不稳定分支,在采用谐波平衡法的同时还采用了延续程序技术。所开发的方法已在 MSC Nastran SOL 128 中实现。
Nonlinear frequency response analysis using MSC Nastran
Frequency response analysis often provides a great deal of information about the system response over the entire range of operation. This can be computationally expensive if time-domain methods are used, especially for large structural models. Presence of non-linearity in the system makes it difficult to employ standard frequency response analysis techniques, which are linear in nature. If the system contains mild-nonlinearities and the response of the system can be assumed to be periodic, it is possible to obtain nonlinear frequency response of the system using harmonic balance techniques. This paper presents the application of the harmonic balance method for solving nonlinear structural dynamics problems. To improve robustness of the solution and capture unstable branches, the continuation procedure technique is included along with the harmonic balance method. The method developed has been implemented in MSC Nastran SOL 128.
期刊介绍:
The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems.
The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.