现代纺织技术 ›› 2023, Vol. 31 ›› Issue (5): 165-173.

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面向高速织机的吸能板壳结构拓扑优化

  

  1. 1. 武汉纺织大学, a.湖北省数字化纺织装备重点实验室; b.工业雷管智能装配湖北省工程研究中心, 武汉 430020;2. 华中科技大学人工智能与自动化学院, 武汉 430074
  • 收稿日期:2023-03-13 出版日期:2023-09-10 网络出版日期:2023-09-21
  • 作者简介:王蕊(1997—),女,湖北咸宁人,硕士研究生,主要从事结构优化设计与分析方面的研究。
  • 基金资助:
    国家自然科学基金项目(52275266);湖北省教育厅科学技术研究项目(D20221701)

Topology optimization of energy-absorbing plate and shell structure for high-speed weaving machines

  1. 1a. Hubei Digital Textile Equipment Key Laboratory, 1b. Industrial Detonator Intelligent Assembly Hubei Engineering Research Center, Wuhan Textile University, Wuhan 430020, China;2. School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2023-03-13 Published:2023-09-10 Online:2023-09-21

摘要: 纺织装备壳体吸能构件的智能优化设计,有利于纺织产业的健康绿色发展。本文提出了吸能阻尼板壳结构拓扑优化方法,构建了约束阻尼板有限元模型,并详细介绍了本构关系复数模型与弹性材料动力学模型,计算了基于模态应变能法第r阶模态阻尼比,推导了结构内各单元的灵敏度计算式。在研究粘弹性阻尼层动力学特性的基础上,以结构模态损耗因子最大化为优化目标,以阻尼材料用量为约束条件,采用优化准则法更新设计变量,设计了高速织机的吸能板壳结构的优化方法。结合综框实例对所提方法的有效性进行了验证,实现阻尼板壳结构的减振控制与轻量化,为高速织机的吸能板壳结构设计提供理论依据和方法途径。

关键词: 高速织机, 吸能减振, 阻尼结构, 拓扑优化, 材料插值模型

Abstract: Since high-speed weaving machines and other textile equipment usually have heald frames, shells and other ultra-large flat and shell components, its large radiation area and small damping characteristics make it more likely to generate vibration noise under external excitation, and it takes a longer time to reduce vibration, so the research and control of high-speed weaving machine vibration have become an urgent technical problem in the textile industry. At present, the combination of topology optimization technology to promote the intelligent and optimal design of energy-absorbing components of the textile equipment shell is extremely beneficial to the healthy and green development of the textile industry.
To achieve the performance requirements of structural load-bearing and energy-absorbing and to effectively achieve structural lightweight, we proposed the design method of energy absorption and vibration damping of constrained damped plate and shell structure for the vibration characteristics of high-speed weaving machine plate and shell structure. Since the energy absorption and damping performance of the plate and shell structure are closely related to the distribution of damping materials, the combination of the topology optimization technology can improve the inherent characteristics of structures to achieve the effect of damping and energy absorption, and achieve the efficient and high-precision lightweight structural design. In practical engineering applications, viscoelastic damping materials are usually completely coated and bonded to the surface of the structure, which can convert the vibration energy into heat consumption as the strain of the damping material lags behind the stress under the action of vibration. This type of free damping method that completely covers the damping material does not give full play to the shear energy dissipation ability of the material. In order to further improve the energy absorption capacity of the damping layer, we added a constraint layer on the surface of the damping material to further improve the energy absorption capacity by using the shear energy dissipation of the damping material, proposed a topology optimization method for the energy-absorbing damping plate shell structure, constructed a finite element model of the constrained damping plate, and introduced an intrinsic structure relationship complex model and an elastic material dynamics model in detail. On this basis, the constrained damping structure was optimized by using matlab software. Taking 40%, 50% and 60% of the total coverage of the constrained damping as the constraint conditions, and taking the maximization of the first-order modal loss factor as the optimization objective, a clearer topological configuration could be obtained under different volume constraints. The light weight of the structure was achieved while the energy absorption performance of the structure was improved. We further explored the influence of penalty factor selection on the optimized structure, and set different penalty factor combinations with a volume constraint of 50%. With the increase of the stiffness penalty factor p, the topological configuration becomes increasingly clear and compact, while the damping consumption factor decreases; with the increase of mass penalty factor q, the loss factor of the structure slightly decreases. Therefore, the p value set at 2 and 3 is appropriate. In other cases, if the appropriate penalty factor is set according to the optimized model, the best topology can be obtained.
Therefore, in combination with topology optimization technology, structures with better inherent characteristics and vibration damping capacity can be obtained under the condition of high damping material utilization. Designing the layout of damping materials on the surface of plate and shell type structures to absorb and dissipate their vibration energy becomes the key to the design of vibration suppression of textile equipment such as high-speed looms.

Key words: high-speed loom, energy absorption and vibration damping, damping structure, topology optimization, material interpolation model

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