Computational strategies for simulation of contact in structural dynamics
Başlık çevirisi mevcut değil.
- Tez No: 839079
- Danışmanlar: PROF. HARM ASKES
- Tez Türü: Yüksek Lisans
- Konular: İnşaat Mühendisliği, Civil Engineering
- Anahtar Kelimeler: node-to-line contacts, the bipenalty method, pounding effects
- Yıl: 2018
- Dil: İngilizce
- Üniversite: The University of Sheffield
- Enstitü: Yurtdışı Enstitü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: 62
Özet
In structural engineering, the pounding effect can be seen as a widespread contactimpact problem due to the tight formation of buildings. The finite element method is found to be a common and effective technique in order to model contact problems numerically. Imposing constraints in the contact zone are implemented by several methods (the Lagrange multiplier, the penalty methods etc.), but the bipenalty method consisting of stiffness and inertia penalty methods is seen to be effective in terms of computational cost and easy to programme despite nonlinearities of contact problems. In this thesis, a node-to-line contact, which is one of contact discretization types, is modelled by the bipenalty method and the central difference method. The modelling of node-to-line contact involves three main stages: contact discretization, contact detection, contact solution. Formulations of all stages are provided in detail so that the algorithm of node-to-line contact problems are generated. As regards stability and accuracy, there are certain limitations of the bipenalty method and the central difference method. The bipenalty method allows contact problems to take merely the unpenalised critical time step into consideration in order to obtain stable numerical results of penalised systems. In addition, recommended penalty ratio algorithms provide more accurate results in the contact zone. Several numerical applications present the practicability of the bipenalty method on nodeto-line contacts. As long as the limitations are considered, it can be interpreted that the node-to-line contact modelling produces stable and accurate results in conjunction with the bipenalty method.
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