A unified approach for treating linear multibody systems involving flexible beams

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• 作者：Laith K. Abbas^a ; ^{laithabbass@yahoo.com} ; Qinbo Zhou^a ; ^{zqb912_new@163.com} ; Dieter Bestle^b ; ^{bestle@tu-cottbus.de} ; Xiaoting Rui^a ; ^{ruixt@163.net}
• 关键词：Linear multibody systems ; Flexible beams ; Transfer matrix method for multibody systems ; Linear vibration
• 刊名：Mechanism and Machine Theory
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：107
• 期：Complete
• 页码：197-209
• 全文大小：1344 K
• 卷排序：107

文摘

The paper demonstrates that the transfer matrix method for multibody systems (MSTMM) can easily handle various coupled problems with beams, dashpots, springs and rigid bodies in a unified way. Within a few lines only, transfer equations can be directly deduced from the system drawing based on the element transfer matrices taken from a MSTMM-library. Eigenvalues of systems involving beams can be computed from exact equations with any desired accuracy by solving a minimization problem. The broad band of applications to a couple of problems taken from literature demonstrates simplicity and high efficiency of modeling with a uniform MSTMM approved over the specific proposals in the literature. The proposal method is easy to formulate, systematic to apply and simple to code.