Control method of variable mass-variable rigidity composite dynamic vibration absorber

A technology of a dynamic vibration absorber and a control method, which is applied in non-electric variable control, mechanical oscillation control, shock absorber and other directions, can solve the problems of complex control process of the shock absorber, difficult practical application, and the inability to meet the requirements of the vibration reduction frequency band width, etc. Achieve simple and effective accuracy, avoid complete failure, and achieve obvious vibration reduction effects

Pending Publication Date: 2021-03-19
CHANGAN UNIV
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Problems solved by technology

[0009] The purpose of the present invention is to provide a control method of a variable mass-variable stiffness composite dynamic vibration absorber to solve the problem that the existing adaptive dynamic vibration absorber cannot meet the requirements of the vibration reduction frequency bandwidth, or the control process of the vibration absorber is too complicated. Problems that are difficult to implement in practice

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  • Control method of variable mass-variable rigidity composite dynamic vibration absorber
  • Control method of variable mass-variable rigidity composite dynamic vibration absorber
  • Control method of variable mass-variable rigidity composite dynamic vibration absorber

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specific Embodiment

[0091] The theoretical analysis described in this application refers to: variable mass-variable stiffness compound dynamic vibration absorber model such as image 3 As shown, m 1 、k 1 、c 1 The mass, stiffness and damping of the main system respectively, m 2 、k2 、c 2 are the mass, stiffness and damping of the composite dynamic vibration absorber, F 0 sinωt is the simple harmonic excitation force on the main system. m 2 、k 2 You can change it within a certain range. According to Newton's second law, the kinetic equation can be obtained as:

[0092]

[0093] where x 1 , x 2 , The displacement and velocity of the main system and the shock absorber, respectively, are the accelerations of the main system and the shock absorber, respectively.

[0094] The steady-state amplitude of the main system and the shock absorber can be obtained by using the complex number solution:

[0095]

[0096] In the formula:

[0097] A=(k 1 -m 1 ω 2 )(k 2 -m 2 ω 2 )-(k 2 m...

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Abstract

The invention provides a control method of a variable mass-variable rigidity composite dynamic vibration absorber. The control method comprises the steps of 1 determining an effective vibration reduction frequency band of the composite dynamic vibration absorber; 2 dividing the effective vibration reduction frequency band determined in the step 1 into two parts; 3 obtaining the frequency of external excitation borne by the composite dynamic vibration absorber; and 4 comparing the external excitation frequency of the composite dynamic vibration absorber obtained in the step 3 with the two effective vibration reduction frequency bands obtained by division in the step 2, and further controlling the composite dynamic vibration absorber. The variable mass and the variable rigidity of the vibration absorber adopt two mutually independent control systems and do not influence each other, when one system fails, it can be avoided that the adjusting performance of the vibration absorber fails completely, the performance of the vibration absorber is more stable, and the control method is simple, effective and good in stability.

Description

technical field [0001] The invention belongs to the technical field of vibration control, and in particular relates to a control method of a variable mass-variable stiffness composite dynamic vibration absorber. Background technique [0002] Due to its simple structure, stable performance and good economy, dynamic vibration absorbers are widely used in vibration control fields such as engineering structures, mechanical systems, and building bridges. According to the theory of vibration mechanics, when the natural frequency of the vibration absorber is equal to the frequency of the external excitation force of the main system, the vibration of the main system can be effectively reduced. The traditional dynamic vibration absorber consists of figure 1 shown, where F 0 sin(ωt) is the simple harmonic excitation force on the main system, m 1 、k 1 、c 1 The mass, stiffness and damping of the main system respectively, m 2 、k 2 、c 2 are the mass, stiffness and damping of the ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05D19/02F16F7/10
CPCF16F7/1005G05D19/02
Inventor 高强李筱筱陆洲孙吉超段晨东
Owner CHANGAN UNIV
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