Linear variable parameter vibration system global identification method

A linear variable parameter, vibration system technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the problem of low efficiency and achieve the effect of improving identification efficiency

Pending Publication Date: 2021-10-08
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

However, when the system characteristics vary complexly with respect to scheduling variables or are related to multiple scheduling variables, in order to identify an accurate LPV vibration system model, the local identification method needs to conduct experiments under a large number of discrete scheduling variables, which is often inefficient

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  • Linear variable parameter vibration system global identification method
  • Linear variable parameter vibration system global identification method
  • Linear variable parameter vibration system global identification method

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Embodiment Construction

[0031] The present invention will be further described below in conjunction with the accompanying drawings and specific implementation examples.

[0032] The essence of the global identification method of the LPV vibration system in the present invention is to directly identify the vibration system model in the form of LPV-ARX. Its formal definition and specific identification algorithm will be given first, and its actual machine tool tip structure will be given. The verification effect on the surrogate model of the LPV vibration system established by the modal parameter data. In specific applications, the required excitation and vibration response acquisition equipment all rely on existing technologies, so details will not be repeated here.

[0033] After mode shape normalization, the vibration differential equation of the n-order LPV vibration system in the modal coordinates can be expressed as:

[0034]

[0035] Among them, p(t) represents the scheduling variable that c...

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Abstract

A linear variable parameter vibration system global identification method is characterized by comprising the following steps: continuously applying excitation to an LPV vibration system with continuously changed scheduling variables, constructing an over-complete dictionary function library, and obtaining a vibration system model in an LPV-ARX form from excitation-response data with continuously changed scheduling variables through sparse regression; and calculating the impact excitation response or random excitation response of the scheduling variables as different values, and carrying out modal identification to obtain the distribution of modal parameters about the scheduling variables. Compared with a traditional local identification method of the LPV vibration system, the global identification method disclosed by the invention can obtain a vibration system model in an LPV form only through one-time identification, and the identification efficiency of the LPV vibration system is remarkably improved on the premise of ensuring the identification precision.

Description

technical field [0001] The invention belongs to the field of vibration system identification, in particular to the identification of a linearly variable parameter (LPV) vibration system whose vibration characteristics change with the change of dispatching variables, specifically a method for directly analyzing LPV vibrations from excitation-response data continuously changing dispatching variables. A method for global identification of the system. Background technique [0002] There are numerous situations in manufacturing systems where the vibration characteristics of the system vary as a function of specific parameters. For example, the vibration characteristics of machine tool spindles, ball screws, and milling robot end effectors are all related to their structural pose. However, when the specific parameters affecting the vibration characteristics are fixed, this type of system can satisfy the characteristics of a linear time-invariant system and can be expressed by a l...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F119/14
CPCG06F30/20G06F2119/14
Inventor 李迎光刘旭程英豪蔡宇郝小忠
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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