Open Access

ARTICLE

Complex Modal Analysis for the Time-Variant Dynamical Problem of Rotating Pipe Conveying Fluid

by Lihua Wang¹, Zheng Zhong¹

1 School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, P.R. China.

* Corresponding author: Lihua Wang. Email address: .

Computer Modeling in Engineering & Sciences 2018, 114(1), 1-18. https://doi.org/10.3970/cmes.2018.114.001

Abstract

A semi-analytical form of complex modal analysis is proposed for the time-variant dynamical problem of rotating pipe conveying fluid system. The complex mode superposition method is introduced for the dynamic analysis in the time and frequency domains, in which appropriate orthogonality conditions are constructed to decouple the time-variant equation of motion. Consequently, complex frequencies and modes of vibration are analytically formulated and the variations of frequencies and damping of the system are evaluated. Numerical time-variant example of rotating pipe conveying fluid illustrates the effectiveness and accuracy of this method. Furthermore, the proposed solution scheme is also applicable to other similar time-variant dynamical problems.

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Keywords

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