著者

安田 仁彦 神谷 恵輔

出版者

一般社団法人 日本機械学会

雑誌

日本機械学会論文集 C編 (ISSN:03875024)

巻号頁・発行日

vol.55, no.515, pp.1609-1615, 1989-07-25 (Released:2008-02-21)

参考文献数

21

被引用文献数

1 1

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As a basis for developing an identification technique of nonlinear distributed systems based on their dynamical responses, an identification technique is proposed based on a simple example of nonlinear distributed systems. The example taken up is a simply supported beam vibrating with large amplitudes. The basic procedures of the proposed technique are: (1) measuring periodic responses of the beam to periodic excitations; (2) determining modal coordinates using the responses based on the modal functions of the corresponding linear beam; and (3) determining the modal equations including nonlinear terms using the principle of harmonic balance. Some numerical examples are given, and the technique proposed is shown to be applicable.

著者

神谷 恵輔

出版者

一般社団法人 日本機械学会

雑誌

日本機械学会論文集 (ISSN:21879761)

巻号頁・発行日

vol.83, no.851, pp.17-00101-17-00101, 2017 (Released:2017-07-25)

参考文献数

11

被引用文献数

4

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This paper presents a method for analysis of motion of multibody systems. In the presented method, the null space matrix for the constraint Jacobian is determined by solving differential equations, not by solving algebraic equations which is common in other methods such as the coordinate partitioning method and the null space method. In the algorithm, the QR decomposition for the constraint Jacobian is utilized. Use of the differential equations for the null space matrix and the QR decomposition as well as the introduction of stabilization terms allow us to analyze without any problems motion of multibody systems which have redundant constraint and/or singular configuration. In addition, the presented method solves the Maggi's equation which is the equation obtained by eliminating the Lagrange multipliers from the equation of motion and by expressing the unknown variables only with the independent components. Thus the computational cost is not so high. The validity of the presented method is verified by numerical examples.