Nonlinear systems superharmonics cancellation
Başlık çevirisi mevcut değil.
- Tez No: 778757
- Danışmanlar: DR. NİKOLAOS DERVİLİS
- Tez Türü: Yüksek Lisans
- Konular: Makine Mühendisliği, Mechanical Engineering
- Anahtar Kelimeler: Belirtilmemiş.
- Yıl: 2017
- Dil: İngilizce
- Üniversite: The University of Sheffield
- Enstitü: Yurtdışı Enstitü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: 59
Özet
Almost all engineering systems have nonlinear characteristics to some extent. However, they are generally approached as linear systems by making assumptions when they are being analysed or designed. This is because of the easiness of dealing with linear systems. Still, the nonlinearity in systems becomes dominant when the systems are getting lighter and more flexible. In this case, the linear theory cannot be applied to understand the systems since the linear properties, which make possible the linear theory, start to break down and some new nonlinear phenomena might occur. This paper offers a novel approach to remove superharmonics, which is one of the nonlinear phenomena, in a nonlinear system. The motivation of the study can be stated as expressing a nonlinear response which has superharmonics with a new superharmonic-free from. The novelty in the study is to seek a transformation which transforms a nonlinear response with superharmonics into a new form without superharmonics. The transformation is in a polynomial expansion form and the coefficients of the transformation are defined by using Self-Adaptive Differential Evolution so as to cancel superharmonics. A single degree-of-freedom Duffing's equation is used to create a nonlinear response with superharmonics. The superharmonics which exist in the response are tried to remove by using the transformation and Self-Adaptive Differential Evolution. Also, the Monte Carlo simulation is conducted to see the possible scenarios and all results are presented. Next, the Gaussian process is employed to obtain the initial signal from the transformed signal as a pattern recognition application. The general pattern of the initial signal is obtained in this way. The results show that this approach proposed in this paper can be utilised to remove superharmonics in a nonlinear system. Thus, this novel method provides an easiness of analysis of the nonlinear system, especially for modal analyses and system identification problems.
Özet (Çeviri)
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