Method for analyzing global stability of fluid conveying pipe-nonlinear energy trap system

A nonlinear energy trap and flow tube technology, which is used in instrumentation, design optimization/simulation, calculation, etc., can solve the problem of global stability analysis method of flow tube-nonlinear energy trap system without patent disclosure.

Active Publication Date: 2020-10-30
DALIAN UNIV OF TECH
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Problems solved by technology

So far, no patent discloses the global stability analysis method of the flow pipe-nonlinear energy well system based on Lyapunov stability theory and energy perturbation technology

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  • Method for analyzing global stability of fluid conveying pipe-nonlinear energy trap system
  • Method for analyzing global stability of fluid conveying pipe-nonlinear energy trap system
  • Method for analyzing global stability of fluid conveying pipe-nonlinear energy trap system

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Embodiment Construction

[0049] The specific implementation of the present invention will be described in detail below in conjunction with the accompanying drawings and the process of proving and deriving global stability.

[0050] The specific process of this embodiment is for figure 1 The stability analysis and simulation verification process of the shown flow tube-non-linear energy trap system are carried out. The detailed design steps are as follows:

[0051] Step 1: Establish a mathematical model of the flow pipe-non-linear energy trap, its physical structure is as follows figure 1 As shown, the length of the flow pipe simply supported at both ends is L, the bending stiffness of the flow pipe is EI, and the mass is m p , The coefficient of viscoelasticity is λ. The nonlinear energy trap as a vibration controller is installed at a distance D from the left end of the flow pipe. The nonlinear energy trap is used to absorb the vibration energy generated when the fluid enters the pipeline. Its structure i...

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Abstract

The invention provides a method for analyzing the global stability of a fluid conveying pipe-nonlinear energy trap system, and belongs to the technical field of system stability proving and analyzingin a control system. According to the method, a high-order partial differential model of a fluid conveying pipe-nonlinear energy trap system is established on the basis of a target energy transfer theory, is discretized into a second-order nonlinear ordinary differential form through a Galerkin approximation method, and is further converted into a quadratic model containing gradient information for the first time; and a global stability criterion of the system is obtained through an energy disturbance technology, and a theoretical result is finally verified through a numerical method. According to the method, the theoretical proving problem of the effectiveness of the nonlinear energy trap in the aspect of vibration control of the fluid conveying pipe is solved for the first time, and thestrict analysis process that the global stability is exponential stability is given.

Description

Technical field [0001] The invention belongs to the technical field of system stability verification and analysis in a control system, relates to the ordinary differentiation of high-order partial differential equation models and energy disturbance technology, and particularly relates to an exponential stability analysis method based on the Lyapunov stability theory. Background technique [0002] Flow pipes have important application value and a wide range of applications in the industrial field. For example, heat exchange, fuel transportation, hydraulics and other fields use pipes to transport fluids with a wide range of flow rates. Changes in fluid flow rates can induce excessive vibration in the pipeline. In turn, failures such as noise, material fatigue, and liquid leakage occur to the machinery, causing the equipment to fail to meet the required performance indicators. For the vibration control of flow pipes, due to the small installation space limitation, no energy input, g...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F113/14
CPCG06F30/20G06F2113/14
Inventor 吴玉虎段楠孙希明仲崇权
Owner DALIAN UNIV OF TECH
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