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Two-degree-of-freedom dynamic vibration absorber joint optimization method

A dynamic vibration absorber and joint optimization technology, applied in design optimization/simulation, instrumentation, special data processing applications, etc., can solve the problems of aggravating the vibration of the main system, weakening the vibration absorption effect of multi-degree-of-freedom dynamic vibration absorbers, etc., and achieve good vibration control The effect of action

Active Publication Date: 2019-07-05
JILIN UNIV
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  • Claims
  • Application Information

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Problems solved by technology

However, the interval between adjacent natural frequencies of the main system is small, and there is coupling in each mode. When the excitation frequency changes suddenly, the vibration absorption effect of the multi-degree-of-freedom dynamic vibration absorber is greatly weakened, and even the vibration of the main system will be aggravated.

Method used

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Embodiment

[0119] A system parameter is: m 1 =440kg,k 1 =55000N / m,k 2 =95000N / m, J 1 =0.5kg·m 2 , l=0.3m, under the premise of meeting the installation conditions, the mass and moment of inertia of the dynamic vibration absorber are respectively m 2 =50kg,J 2 =0.082kg·m 2 . Set the population size of the genetic algorithm to 100, the maximum evolutionary number to 200, the crossover probability to 0.9, and the mutation probability to 0.01. The Pareto optimal solution distribution obtained by NSGA-II is as follows: Figure 5 shown. The weights of the four optimization objectives calculated by the entropy weight method are: 0.3025, 0.2372, 0.0547 and 0.4055, and the top five schemes are obtained after sorting according to the TOPSIS method, as shown in Table 1.

[0120] The results obtained after sorting in Table 1

[0121]

[0122] Simulate the two-degree-of-freedom DVA with the serial number 1 in Table 1 after the optimized design, and obtain the amplitude-frequency character...

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Abstract

The invention discloses a two-degree-of-freedom dynamic vibration absorber joint optimization method, which comprises the following steps of: step 1, establishing a motion differential equation of a four-degree-of-freedom system of a coupled dynamic vibration absorber to obtain an analytical expression of amplitude-frequency characteristic sum of displacement x1, angular displacement [theta] 1, vertical acceleration and angular acceleration of a main system to an input f; step 2, optimizing the stiffness k3 and k4 of the elastic element of the dynamic vibration absorber and the damping coefficient c of the damper by taking the minimum peak value of the amplitude-frequency characteristic sum as an optimization target to obtain an optimal solution set; and step 3, after sorting the elementsin the optimal solution set, selecting the element with the minimum ordinal number as the solution of the optimization design of the two-degree-of-freedom dynamic vibration absorber. According to thetwo-degree-of-freedom dynamic vibration absorber joint optimization method provided by the invention, a method of combining multi-objective optimization and multi-attribute decision is adopted to obtain the optimal structure parameters of the two-degree-of-freedom dynamic vibration absorber, so that the two-degree-of-freedom dynamic vibration absorber has a good vibration control effect in the whole frequency range.

Description

technical field [0001] The invention belongs to the technical field of vibration control, in particular to a joint optimization method for a two-degree-of-freedom dynamic vibration absorber. Background technique [0002] Due to its unique advantages in vibration control, dynamic vibration absorbers are widely used in various industries, but the parameter matching and optimal design of dynamic vibration absorbers, especially multi-degree-of-freedom dynamic vibration absorbers, have always been the key factors restricting the development of dynamic vibration absorbers. The traditional multi-degree-of-freedom dynamic vibration absorber design method assumes that the adjacent modes of the main system are independent of each other and do not affect each other. The dynamic vibration absorber is individually designed for each natural frequency through the fixed point theory, and the multi-degree-of-freedom dynamic vibration absorber is obtained. parameter. However, the interval be...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 雷雨龙贾富淳付尧曾云鹏王彬宇
Owner JILIN UNIV
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