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连接结构界面摩擦力学建模研究进展

沈民民 杨晓东

沈民民, 杨晓东. 连接结构界面摩擦力学建模研究进展. 力学进展, 待出版 doi: 10.6052/1000-0992-24-008
引用本文: 沈民民, 杨晓东. 连接结构界面摩擦力学建模研究进展. 力学进展, 待出版 doi: 10.6052/1000-0992-24-008
Shen M M, Yang X D. Modeling of joint structure interface friction mechanics: a review. Advances in Mechanics, in press doi: 10.6052/1000-0992-24-008
Citation: Shen M M, Yang X D. Modeling of joint structure interface friction mechanics: a review. Advances in Mechanics, in press doi: 10.6052/1000-0992-24-008

连接结构界面摩擦力学建模研究进展

doi: 10.6052/1000-0992-24-008
基金项目: 国家自然科学基金项目(12332001)。感谢天津大学丁千教授的指导和建议。
详细信息
    作者简介:

    杨晓东, 北京工业大学教授, 博士生导师. 主要研究领域包括结构振动、流固耦合振动、工程减振、航空航天领域结构动力学与控制问题等, 发表SCI文章100多篇, SCI他引2000多次, 论文发表在International Journal of Mechanical Science, Engineering Structures, Journal of Sound and Vibration等知名期刊. 2012年获得国家自然科学基金优秀青年基金资助, 2021年, 获中国力学学会全国徐芝纶力学优秀教师奖. 共主持国家自然科学基金6项. 现任Journal of Vibration Engineering & Technologies副主编、International Journal of Non-Linear Mechanics编委、《动力学与控制学报》编委、《力学学报》青年编委、《北京工业大学学报》青年编委

    通讯作者:

    jxdyang@163.com

  • 中图分类号: O343.3, TH113

Modeling of joint structure interface friction mechanics: a review

More Information
  • 摘要: 连接结构作为工业装备的核心部件之一, 是装备制造领域着重攻关优化的关键基础部件. 当前, 因连接界面的非线性、复杂性、不确定性等引起的跨尺度和多物理场复杂力学行为机理不明, 导致精准预测连接结构动力学特性和监测其动态服役性能存在困难, 成为制约精密结构动力学分析、高保真仿真、设计、优化和控制等问题的关键和瓶颈. 然而连接结构应用广泛, 工程和技术人员对连接结构的机理及其多功能化有进一步的需求. 本文主要综述连接结构界面摩擦力学的解析建模、有限元建模以及实验系统, 并提出新型连接结构设计的发展趋势. 首先, 根据连接使役环境需求、工程存在问题及缺乏有效强度刚度预测理论, 综述了螺栓连接结构载荷类型及精准构建连接等效模型应用. 其次, 重点概述了连接结构界面摩擦几类主流理论模型, 包括描述微/纳尺度分析连接界面多尺度物理行为和规律的本构模型、采用系统辨识理论和方法得到宏观界面力学响应的唯象模型、结合本构微观接触机理和系统辨识宏观角度的唯象学本构摩擦模型. 然后, 综述了以有限元方法为基础的连接结构仿真以及实验方法, 具体包括直接有限元建模、间接等效有限元建模、实验基准系统以及各向激励连接结构实验平台. 最后, 基于装备领域连接结构多功能需求, 提出“传静抑动”连接件以及轻量化仿生连接件的新型连接件设计思想.

     

  • 图  1  连接结构所涉及的学科、尺度以及物理场. (a)连接结构研究涉及方向, (b)连接结构的多尺度(Stoyanov & Chromik 2017), (c)连接结构的多物理场(Vakis et al. 2018)

    图  2  螺栓连接载荷分类. (a)剪切载荷, (b)拉伸载荷(Yang X et al. 2012), (c)扭转载荷, (d)撬动载荷(Fonfría et al. 2023)

    图  3  连接结构强度破坏. (a)螺栓拉伸强度与剪切强度破坏(王帅 等 2022), (b)连接件应力集中, (c)螺栓孔应力集中(Zampieri et al. 2019), (d)不同应力及预紧力下连接件疲劳破坏(Jiménez-Peña et al. 2017)

    图  4  螺栓连接界面微观力学(Chang Y et al. 2023)

    图  5  统计分析方法建模. (a)粗糙表面接触示意图(王东 等 2018), (b)表面粗糙度Gussian分布和Weibull分布拟合直方图(Yu & Polycarpou 2002), (c)单个微凸体黏滑状态示意图(王东 等 2018)

    图  6  分形几何方法建模. (a)粗糙表面分形特征(张凯 2019), (b)不同分形维数下粗糙表面(Teengad 2023)

    图  7  连接结构的实验特性. (a)螺栓连接结构示意图, (b)加卸载时力与位移关系, (c)力与能量耗散的幂律关系, (d)刚度软化(Brake et al. 2014)

    图  8  连接结构的实验趋势(Mathis et al. 2020). (a)不同激励振幅下的频率响应, (b)滞回曲线割线斜率, (c)不同激励振幅下滞回曲线, (d)不同预紧力下滞回曲线

    图  9  静态摩擦模型(Gaul & Nitsche 2001). (a)库伦模型, (b)库伦 + 黏性模型, (c)静摩擦 + 库伦 + 黏性摩擦模型, (d) Stribeck摩擦模型, (e) Karnopp摩擦模型

    图  10  动态摩擦模型. (a) Dahl模型(Dahl 1976), (b) LuGre模型(De Wit et al. 1995), (c) Valanis模型(Valanis 1971, Gaul et al.1998)

    图  11  Iwan模型的发展(Mathis et al. 2020). (a)Masing模型, (b)Prandtl-Ishlinskiĭ单元, (c) Prandtl-Ishlinskiĭ模型滞回曲线

    图  12  Iwan模型. (a)串并联Iwan模型(Prager单元串联)(Mathis et al. 2020), (b)并串联Iwan模型(Prandtl单元并联), (c)滞回摩擦模型逻辑关系

    图  13  屈服力分布密度函数. (a)均匀分布密度函数(Iwan 1966, Iwan 1967), (b)含截断幂律分布密度函数(Segaleman 2005), (c)含截断幂律分布和双脉冲的密度函数(Li Y & Hao 2016)

    图  14  不同Iwan模型对比. (a)改进Iwan模型示意图, (b)改进Iwan模型滞回曲线(Song Y et al. 2004), (c)四参数Iwan模型、RIPP模型以及五参数Iwan模型对比(Brake 2017), (d)六参数Iwan模型和八参数Iwan模型对比(Ranjan & Pandey 2022), (e)基于高阶摩擦的Iwan模型(Brake 2017)

    图  15  考虑表面形貌的微观接触建模(Chen J et al. 2019). (a)建模流程及Jenkins单元接触受力示意图, (b)连接结构4类接触状态

    图  16  考虑连接界面的接触压力分布建模(Li D et al. 2020a). (a)建模方法流程图, (b)球-球接触结果, (c)平面-平面接触结果, (d) 3类接触压力分布及相应密度函数(Li D et al. 2020b)

    图  17  考虑粗糙表面接触压力分布的统计建模(Yang H et al. 2023). (a)建模方法流程图, (b)平面-平面接触, (c)螺栓连接接触

    图  18  有限元直接建模方法(Tanlak et al. 2011). (a)实体连接螺栓模型, (b)壳连接实体螺栓模型, (c)耦合螺栓模型, (d)壳连接螺栓模型, (e) Timoshenko梁耦合螺栓模型, (f) Timoshenko梁无孔耦合螺栓模型, (g)孔绑定模型, (h)交叉耦合约束模型, (i)孔周围梁连接模型, (j)垫片周围梁连接模型, (k)交叉梁连接模型

    图  19  有限元间接等效建模. (a)节点到节点接触(Lacayo et al. 2019), (b)薄层单元(Zhang Z et al. 2019), (c)零厚度单元(Balaji et al. 2020), (d)Jenkins单元离散(Li Y & Hao 2016, Li Y et al. 2017), (e) 基于Iwan材料(Jiang et al. 2023)

    图  20  典型摩擦连接实验基准系统. (a) BMD (Segalman et al. 2009b), (b) Brake-Reuβ梁(Brake et al. 2014), (c)四螺栓连接方形板(Segalman et al. 2015), (d)双Sumali梁连接(Deaner et al. 2015), (e) Gaul谐振器和双质量哑铃装置(Gaul et al. 1994, Gaul & Lenz 1997, Segalman et al. 2009b)

    图  21  连接结构各向激励实验台 (a)横向剪切激励1(Segalman et al. 2009b), (b)横向剪切激励2 (Eriten et al. 2011c, Eriten et al. 2011d, Eriten et al. 2012), (c)横向剪切激励3 (Li D et al. 2020c), (d)轴向拉伸激励(Li H et al. 2022), (e)扭转激励(Liu J et al. 2019)(f)撬动激励(Liu L et al. 2023b, Chen H et al. 2023).

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