Solvability condition in multi-scale analysis of gyroscopic continua

Li Qun Chen; Jean W. Zu

doi:10.1016/j.jsv.2007.06.003

Solvability condition in multi-scale analysis of gyroscopic continua

Li Qun Chen, Jean W. Zu

Shanghai University

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

The solvability condition is investigated for the method of multiple scales applied to gyroscopic continua. The general framework of the multi-scale analysis is proposed for a linear gyroscopic continuous system under small nonlinear time-dependent disturbances. The solvability condition is derived from the properties of the systems. The condition holds only for appropriate boundary conditions. The appropriateness of the boundary conditions can be examined for unperturbed linear systems. An example is presented to highlight the requirements on the boundary conditions.

Original language	English
Pages (from-to)	338-342
Number of pages	5
Journal	Journal of Sound and Vibration
Volume	309
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jsv.2007.06.003
State	Published - 8 Jan 2008

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10.1016/j.jsv.2007.06.003

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abstract = "The solvability condition is investigated for the method of multiple scales applied to gyroscopic continua. The general framework of the multi-scale analysis is proposed for a linear gyroscopic continuous system under small nonlinear time-dependent disturbances. The solvability condition is derived from the properties of the systems. The condition holds only for appropriate boundary conditions. The appropriateness of the boundary conditions can be examined for unperturbed linear systems. An example is presented to highlight the requirements on the boundary conditions.",

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AB - The solvability condition is investigated for the method of multiple scales applied to gyroscopic continua. The general framework of the multi-scale analysis is proposed for a linear gyroscopic continuous system under small nonlinear time-dependent disturbances. The solvability condition is derived from the properties of the systems. The condition holds only for appropriate boundary conditions. The appropriateness of the boundary conditions can be examined for unperturbed linear systems. An example is presented to highlight the requirements on the boundary conditions.

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Solvability condition in multi-scale analysis of gyroscopic continua

Abstract

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