Finite Elements in Rotordynamics

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• 作者：B. Kirchgä ; ß ; ner ; ^{kirchg@intes.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Rotating structures ; finite elements ; axisymmetry ; Coleman transformation ; Floquet
• 刊名：Procedia Engineering
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：144
• 期：Complete
• 页码：736-750
• 全文大小：1643 K

文摘

Equation of motion of rotating structures may be derived referring to co-rotating as well as fixed reference systems. Correspondingly, different additional matrices must be taken into account in finite element idealization. Symmetry is very important since axisymmetric as well as cyclic-symmetric structures after Coleman transformation may be investigated in fixed coordinates whereas unsymmetric rotors with isotropic support are usually studied in co-rotating coordinates. In the most general case one gets a system of equation with periodic coefficients which may be solved using Floquet's theory.