Simplified analysis method for inherent frequency and stability of rotational symmetric structure

Abstract

The invention discloses a simplified analysis method for an inherent frequency and the stability of a rotational symmetric structure. The method comprises the steps of establishing a complete dynamic differential equation of a system, a dynamic differential equation adopting a no-extension hypothesis, and a dynamic differential equation adopting an extension hypothesis: establishing the complete dynamic differential equation of the system; establishing the dynamic differential equation adopting the no-extension hypothesis; establishing the dynamic differential equation adopting the extension hypothesis; introducing coordinate conversion for converting the three dynamic differential equations to a support follow-up coordinate system so as to obtain corresponding three constant coefficient partial differential dynamic equations; performing discrete processing on the three constant coefficient partial differential dynamic equations in the support follow-up coordinate system to obtain three constant differential matrix equations; obtaining an eigenvalue of the complete dynamic differential equation and eigenvalues of two simplified dynamic differential equations; and analyzing a parametrically excited vibration mode characteristic and a dynamic stability change law of the rotational symmetric structure according to the three eigenvalues. According to the method, a specific analysis expression of system eigenvalues can be obtained more clearly.

Description

technical field [0001] The invention relates to a method for analyzing the natural frequency and stability of a rotationally symmetrical structure. In particular, it involves a simplified analysis method for the natural frequencies and stability of rotationally symmetric structures. Background technique [0002] Rotating machinery widely exists in industrial production, especially in modern machinery industry. For example, internal meshing gear transmission, electronic stator / rotor system, plunger motor, jet engine, inner and outer rings of bearings and hydroelectric generator sets, etc. Such structures can usually be summarized as a rotationally symmetric structure. They will inevitably have vibration and noise problems in the industrial production process, especially in some high-speed, heavy-duty applications, which have become a key factor restricting the overall performance of the system. In the existing research on the natural frequency and dynamic stability analysi...

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Problems solved by technology

This has led to the existing technology being too complicated and cumbersome when directly analytically solving its dy

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