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Quick change-slow change fusion stability analysis method for complex coupling engineering system

An analysis method and complex system technology, applied in the field of fast-slow-variation fusion stability analysis of complex coupled engineering systems, can solve problems such as unguaranteed errors and misjudgments of system stability, and improve calculation accuracy and judgment accuracy Effect

Pending Publication Date: 2022-07-29
GUANGXI UNIV
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Problems solved by technology

However, with the increasing requirements of engineering on system stability, traditional calculation methods cannot guarantee small enough errors, and even make wrong judgments on the stability of the system.

Method used

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  • Quick change-slow change fusion stability analysis method for complex coupling engineering system
  • Quick change-slow change fusion stability analysis method for complex coupling engineering system
  • Quick change-slow change fusion stability analysis method for complex coupling engineering system

Examples

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Embodiment Construction

[0011] The specific embodiments of the present invention will be described in detail by taking a typical nonlinear dynamic model of a vehicle-axle vibration system in a complex coupled engineering system as an example.

[0012] The general form of nonlinear dynamic model of vehicle-axle coupled vibration system commonly used in engineering is:

[0013] , in this case, , , , , ;

[0014] due to gap f ( x ), the system is a typical complex nonlinear dynamic system, and the fast-slow-varying fusion stability analysis is carried out, refer to figure 1 Shown is the flow chart of the fast-change-slow-change fusion stability analysis method for complex coupled engineering systems, including the following steps:

[0015] Step (1): Right f ( x ) for cubic term fitting, ;

[0016] Step (2): Introduce variables with different time scales ,in e = 0.1, describe the response of the system as a function of multiple time scales ;in, m is the highest order calculated,...

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Abstract

The invention discloses a quick change-slow change fusion stability analysis method for a complex coupling engineering system. The method comprises the following steps: (1) establishing a nonlinear oscillatory differential equation of the engineering system; (2) introducing variables of different time scales, and assuming the response of the system as superposition of different responses under a plurality of time scales; (3) defining a partial derivative operator, converting the time-related differential of the system into a partial differential related to the time scale, and converting the differential equation of the system into a partial differential equation related to a plurality of time scales; (4) substituting the partial differential of the system response and the time scale into the oscillatory differential equation to obtain a partial differential equation set; (5) solving the partial differential equations of all orders in sequence to obtain responses of the system under different time scales, namely quick change-slow change of the system; the method has the beneficial effects that the fast change-slow change fusion of the complex coupling engineering system can be accurately reflected, and the stability of the system is analyzed.

Description

technical field [0001] The invention relates to the field of coupled vibration of complex engineering systems, in particular to a fast-change-slow-change fusion stability analysis method for complex coupled engineering systems. Background technique [0002] Most of the complex coupled vibration systems in engineering have nonlinear characteristics. For the solution of their dynamic models, most of the systems are approximated by approximating or ignoring nonlinear factors. However, with the increasing requirements for system stability in engineering, the traditional calculation method cannot guarantee a small enough error, and even makes a wrong judgment on the stability of the system. [0003] In order to solve the above problems, the present invention proposes a fast-change-slow-change fusion stability analysis method for a complex coupled engineering system. The amplitude and frequency changes of the system under the scale, that is, the fast and slow changes of the syste...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/13G06F30/20G06F17/12G06F17/13G06F17/16
CPCG06F30/13G06F30/20G06F17/12G06F17/13G06F17/16
Inventor 莫帅张应新
Owner GUANGXI UNIV
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