Response determination of linear dynamical systems with singular matrices: A polynomial matrix theory approach

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• 作者：Efstathios N. Antoniou<sup>asup><sup> ; sup><sup>antoniou@it.teithe.grsup> ; Athanasios A. Pantelous<sup> ; sup><sup>bsup><sup> ; sup><sup>A.Pantelous@liverpool.ac.uksup> ; Ioannis A. Kougioumtzoglou<sup>csup><sup> ; sup><sup>ikougioum@columbia.edusup> ; Antonina Pirrotta<sup>dsup><sup> ; sup><sup>esup><sup> ; sup><sup>antonina.pirrotta@unipa.itsup><sup> ; sup><sup>pirrotta@liverpool.ac.uksup>
• 关键词：Linear constrained structural/mechanical systems ; Multibody systems ; Singular matrix ; Closed form solution ; Polynomial matrix theory
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：Complete
• 页码：423-440
• 全文大小：750 K
• 卷排序：42

文摘

A novel structural dynamics approach is developed based on polynomial matrix theory. The approach can account for linear MDOF systems with singular matrices. An alternative approach to the proposed methodology by Udwadia et al. The use of pseudoinverses is circumvented in determining the system response. Closed form expressions are derived for the response displacements