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Elastic vibration calculation method of rotating annular periodic structure

A technology of periodic structure and calculation method, applied in the direction of calculation, computer-aided design, design optimization/simulation, etc., can solve the problems of low calculation efficiency, unable to reveal universal laws, etc., and achieve the effect of improving operation stability and reliability

Active Publication Date: 2019-08-13
TIANJIN UNIV
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Problems solved by technology

However, this literature only studies the basic fixed-axis rotation case
[0005] In addition, the existing technology usually uses numerical methods to predict dynamic stability, which has low computational efficiency and cannot reveal universal laws

Method used

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  • Elastic vibration calculation method of rotating annular periodic structure
  • Elastic vibration calculation method of rotating annular periodic structure
  • Elastic vibration calculation method of rotating annular periodic structure

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Embodiment Construction

[0041] In order to make the purpose, technical solution and advantages of the present invention clearer, the implementation manners of the present invention will be further described in detail below.

[0042] The embodiment of the present invention proposes a highly applicable elastic vibration analysis technology specifically for annular periodic structures. The embodiment of the present invention first establishes the dynamic model of the annular periodic structure by means of the follow-up coordinate system, and then adopts the perturbation method Compute eigenvalues ​​of annular periodic structures to predict modal behavior and dynamic stability.

[0043] The embodiments of the present invention can be applied to the prediction of the elastic vibration characteristics of typical space motion rotation symmetric components such as the ring gear of the planetary gear transmission, the stator and rotor of the rotating electrical machine, the inner and outer rings of the rolling...

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Abstract

The invention discloses an elastic vibration calculation method of a rotating annular periodic structure. The method comprises the following steps: establishing a dynamic model under a follow-up coordinate system; solving a characteristic value of the smooth circular ring; solving a first-order perturbation characteristic value of the annular periodic structure according to a perturbation method;judging the combination relation between the vibration wave number and the discrete support number by means of the operation property of a trigonometric function, and then calculating the characteristic value of the annular periodic structure in a classified manner; judging modal characteristics and power stability according to the obtained characteristic values of the annular periodic structure;the coupling coefficient of the annular periodic structure is solved, and the instability rule of the combination is revealed. The defect that an existing elastic vibration analysis technology is onlylimited to a static or fixed-axis rotating structure is overcome, and therefore the calculation result can better meet the engineering requirement.

Description

technical field [0001] The invention relates to the field of elastic vibration calculation, in particular to an elastic vibration calculation method of an annular periodic structure subjected to three-axis space rotation motion. Background technique [0002] Annular periodic structures are widely used in various engineering fields, such as ring gears of planetary gear transmissions, annular stators and rotors of rotating electrical machines, blisk structures, inner and outer rings of rolling bearings, and annular components in microdevices such as gyroscopes. In engineering practice, this type of structure will have significant vibration, noise and stability problems. Due to the limited scope of application of existing dynamic stability analysis techniques, it is particularly necessary to propose an efficient and accurate analysis technique that considers complex actual working conditions. [0003] Literature (Esmaeili M, Durali M, Jalili N. Ring microgyroscope modeling and...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20Y02T90/00
Inventor 王世宇柳金龙王哲人张朋辉
Owner TIANJIN UNIV
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