Deduction and Analysis of Vibration Mode Influencing Parameters of Single-layer Bidirectional Asymmetric Structure

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (15) : 104-110.

Jiang Xin-liang1, Han Yang1

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Abstract

In order to further analyzed the influence of the translational-torsion coupling parameters of the general single-layer bidirectional asymmetric structure, the paper established the dynamic equation of a single bi-eccentric structure (3 degrees of freedom), and derived the explicit analytical solution of the dynamic characteristics of the single-layer bidirectional eccentric structure using the method in mathematics field for solving cubic equations, which is Sheng-jin formula. The Influencing parameters were extracted according to the form of the explicit solution and determination condition. And they were different from which of one-way asymmetric structure, including eccentric distance, eccentric angle, main torsion-translational frequency ratio and minor torsion-translational frequency ratio. According to the structure of the main dynamic characteristic index (frequencies and modes) deduced from the explicit analytical solution, we analyzed the influence of each parameter on translational-torsion coupling characteristics of single-layer bidirectional eccentric structure. The results showed that the translational-torsion coupling parameters of two-way eccentric structure were similar to which of one-way eccentric structure, but more complex. It involved the main torsion -translational frequency ratio and the minor torsion-translational frequency ratio .And the degree of influence of each was different.

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bidirectional asymmetric structure / analytical solution / influencing parameters / eccentric distance / eccentric angle / torsion-translational frequency ratio

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Jiang Xin-liang1, Han Yang1. Deduction and Analysis of Vibration Mode Influencing Parameters of Single-layer Bidirectional Asymmetric Structure[J]. Journal of Vibration and Shock, 2017, 36(15): 104-110

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