Structural response reconstruction based on the modal superposition method in the presence of closely spaced modes
Structural response reconstruction based on the modal superposition method in the presence of closely spaced modes
复制标题
存在紧密间隔模态时基于模态叠加法的结构响应重建
DOI：
10.1016/j.ymssp.2013.07.007
复制
发表时间：
2014-01-01
影响因子：
8.4
通讯作者：
Wang, Ting
中科院分区：
文献类型：
--
作者：
Wan, Zhimin;Li, Shande;Wang, Ting
提出了一种基于模态叠加法的密集模态结构响应重构方法。在该方法中，结构的整个模态集被划分为紧密间隔的模态和其余模态。其余的已知响应的模态响应将被分离成单独的模态响应，通过使用经验模态分解方法与不确定性准则。从模态振型开始，从这些模态响应中导出，可以获取不可用位置处的其余模态响应。此外，在不可用的位置处的紧密间隔的模态响应的贡献可以基于这些响应来获得。在不存在周期激励的情况下，该方法是有效的。然而，在实践中，它是常见的，结构可能会受到瞬态，随机，周期性的力或其组合，即混合激励。基于所提出的方法和响应重构中的传递率概念，提出了一种求解混合激励重构问题的混合方法。数值研究进行了验证，并与理论预测进行比较。详细研究了背景噪声、高阻尼比和多个力的影响。(C)2013爱思唯尔有限公司保留所有权利。
An approach for structural response reconstruction based on the modal superposition method in the presence of closely spaced modes is proposed in this paper. In this method, the entire mode-set of a structure is divided into closely spaced modes and the rest of the modes. The rest of the modal responses whose response is known will be separated into individual modal response by using the empirical mode decomposition method with intermittency criteria. Starting from the mode shapes, derived from these modal responses, the rest of the modal responses at the unavailable locations can be acquired. Furthermore, the contribution of the closely spaced modal responses at the unavailable locations can be obtained based on these responses. This proposed method is valid if there is no periodic excitation. However, in practice it is common that a structure might be excited by transient, stochastic, periodic forces or a combination thereof, i.e. hybrid excitations. A hybrid approach for solving the reconstruction problem of hybrid excitations is also developed, which is based on the proposed method and transmissibility concept in response reconstruction. Numerical studies are conducted and compared with theoretical predictions for validation. Effects of background noise level, high damping ratio and multiple forces are investigated in detail. (C) 2013 Elsevier Ltd. All rights reserved.