基于多目标遗传算法的二自由度动力吸振器优化设计

doi:10.13229/j.cnki.jdxbgxb20180924

Abstract

Abstract:

This paper presents a 2-DOF dynamic vibration absorber to reduce the vibration of 2-DOF main system which possesses translation and rotation around the centroiding. The main system obtains a good damping effect by optimizing the stiffness and damping of the dynamic vibration absorber. The evaluation and optimization indexes are displacement, acceleration, angular displacement and angular acceleration. The nondominated sorting genetic algorithm (NSGA-Ⅱ) is used to solve the multi-objective optimization problem including four optimization objectives and three design variables. The 60 Pareto optimal solutions are ordered by entropy weight TOPSIS. The optimal solution is selected as the dynamic vibration absorber optimization design solution and a simulation analysis is carried out to obtain the frequency domain simulation results and time domain simulation results. The results show that the dynamic vibration absorber with optimized parameters greatly reduce the four vibration evaluation indexes of the main system and the vibration control effect of the two-DOF dynamic vibration absorber is good. The NSGA-Ⅱ and Entropy TOPSIS joint optimization method is suitable for optimal design of two-DOF dynamic vibration absorber.

Key words: mechanical design, two-DOF dynamic vibration absorber, multi-objective optimization, genetic algorithm, multi-attribute decision making

CLC Number:

TH113.1

Fu-chun JIA,Xian-jie MENG,Yu-long LEI. Optimal design of two degrees of freedom dynamic vibration absorber based on multi-objective genetic algorithm[J].Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1969-1976.

Figures/Tables 9

Fig.1

Fig.2

Fig.3

Table1

Decision results"

序数	方案
序数	1	2	3	4	5
sum(max\|x ₁/f\|)/（10^-4 m·N^-1）	1.88	1.78	1.96	2	1.74
sum(max\|θ ₁/f\|)/（10^-4 rad·N^-1）	6.17	6.43	5.98	5.87	6.55
sum(max\| $x ¨$ ₁/f\|)/（10^-2 m·s^-2·N^-1）	6.43	6.25	6.58	6.64	6.2
sum(max\| $θ ¨ 1$ /f \|)/（rad·s^-2·N^-1）	1.217	1.31	1.146	1.107	1.35
k ₃/(10⁴ N·m^-1)	2.865	2.47	3.074	3.335	2.387
k ₄/(10⁴ N·m^-1)	1.019	1.015	1.019	1.015	1.014
c/(10³ N·s·m^-1)	1.296	1.291	1.443	1.438	1.241
综合评价指数方正汇总行C	0.153	0.154	0.155	0.156	0.162

Table1

Fig.4

Fig.5

Table 2

Amplitude-frequency characteristic peak"

幅频特性	峰	幅频特性峰值/dB
幅频特性	峰	主系统	附加DVA	降幅
max\|x ₁/f \|	1	-85.5	-172.1	86.6
max\|x ₁/f \|	2	-197.7	-242.1	45
max\|θ ₁/f \|	1	-85.4	-107.9	22
max\|θ ₁/f \|	2	-154.7	-172.3	17.6
max\| $x ¨$ ₁/f \|	1	29.42	-59.9	88.9
max\| $x ¨$ ₁/f \|	2	-39.50	-84.7	45.2
max\| $θ ¨ 1$ /f \|	1	29.5	-60.2	89.7
max\| $θ ¨ 1$ /f \|	2	50.2	3.1	46.9

Table 2

Fig.6

Fig.7

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Optimal design of two degrees of freedom dynamic vibration absorber based on multi-objective genetic algorithm

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