含初始条件的基于黏滞阻尼的单自由度振动响应综合研究

王允地; 王帅; 王良文; 张继豪; 王若澜

doi:10.12187/2021.05.014

CN 41-1437/TS ISSN 2096-1553

“关于规范使用生成式人工智能工具的启事

含初始条件的基于黏滞阻尼的单自由度振动响应综合研究

王允地 , 王帅 , 王良文 , 张继豪 , 王若澜

王允地, 王帅, 王良文, 等. 含初始条件的基于黏滞阻尼的单自由度振动响应综合研究[J]. 轻工学报, 2021, 36(5): 110-117. doi: 10.12187/2021.05.014

引用本文: 王允地, 王帅, 王良文, 等. 含初始条件的基于黏滞阻尼的单自由度振动响应综合研究[J]. 轻工学报, 2021, 36(5): 110-117. doi: 10.12187/2021.05.014

WANG Yundi, WANG Shuai, WANG Liangwen, et al. Comprehensive research of single-degree-of-freedom vibration response based on viscous damping with initial conditions[J]. Journal of Light Industry, 2021, 36(5): 110-117. doi: 10.12187/2021.05.014

Citation: WANG Yundi, WANG Shuai, WANG Liangwen, et al. Comprehensive research of single-degree-of-freedom vibration response based on viscous damping with initial conditions[J]. Journal of Light Industry, 2021, 36(5): 110-117. doi: 10.12187/2021.05.014

含初始条件的基于黏滞阻尼的单自由度振动响应综合研究

1. 陕西科技大学机电工程学院, 陕西西安 710021;
2. 北京立德未来助学公益基金会, 北京 100026;
3. 郑州轻工业大学机电工程学院, 河南郑州 450002;
4. 郑州轻工业大学国际教育学院, 河南郑州 450002

作者简介: 王允地(1961-),男,陕西省周至县人,陕西科技大学副教授,主要研究方向为机械学和机械动力学.;

基金项目: 国家自然科学基金项目（52075500）；河南省重点科技攻关项目（202102210086）；河南省高等学校重点科研项目（21A460034）；郑州轻工业大学博士基金项目（2016BSJJ009）
中图分类号: O32

Comprehensive research of single-degree-of-freedom vibration response based on viscous damping with initial conditions

1. College of Mechanical and Electrical Engineering, Shaanxi University of Science & Technology, Xi'an 710021, China;
2. Beijing Lide Future Public Welfare Foundation, Beijing 100026, China;
3. College of Mechanical and Electrical Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China;
4. College of International Education, Zhengzhou University of Light Industry, Zhengzhou 450002, China
Received Date: 2021-01-11

CLC number: O32

摘要: 针对目前关于单自由度振动研究存在的不足，给出包含初始条件的基于黏滞阻尼的自由振动和简谐激励振动响应计算式，绘制了相应的幅频曲线图和相频曲线图；展示了小阻尼共振曲线的过渡过程，指出了无阻尼振动响应的拍振现象；推导出了库仑摩擦力对位移差别的影响式.研究结果表明：对于无黏滞阻尼系统的共振响应，小库仑摩擦力抑制不住其增长趋势；当库仑摩擦力接近于激励力幅值时，才能使共振响应的幅值不超过稳态值.
- 单自由度振动 /
- 共振曲线图 /
- 过渡过程 /
- 拍振现象 /
- 库仑摩擦力
Abstract: In view of the some shortcomings of research on single-degree-of-freedom vibration at present, the response equations of the free vibration and harmonic excitation based on viscous damping with initial conditions were listed, the amplitude frequency and phase frequency curves were plotted. The transition process of the small damped resonance curve was shown, the beat vibration phenomenon of undamped vibration response was presented. The Influence formulas of Coulomb friction on the difference of displacement were derived,the influence regularity of Coulomb friction on the vibration response was studied. The results showed that the small Coulomb friction could not restrain the growth trend for resonant response of non-viscous damping system. Only when the Coulomb friction was close to the excitation force amplitude,the resonance response amplitude could be restrained from exceeding the steady state value.
- single-degree-of-freedom vibration /
- resonance curve diagram /
- transition process /
- beat vibration phenomenon /
- Coulomb friction force
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王允地, 王帅, 王良文, 等. 含初始条件的基于黏滞阻尼的单自由度振动响应综合研究[J]. 轻工学报, 2021, 36(5): 110-117. doi: 10.12187/2021.05.014

引用本文: 王允地, 王帅, 王良文, 等. 含初始条件的基于黏滞阻尼的单自由度振动响应综合研究[J]. 轻工学报, 2021, 36(5): 110-117. doi: 10.12187/2021.05.014

含初始条件的基于黏滞阻尼的单自由度振动响应综合研究

作者简介:王允地(1961-),男,陕西省周至县人,陕西科技大学副教授,主要研究方向为机械学和机械动力学.

1. 陕西科技大学机电工程学院, 陕西西安 710021;
2. 北京立德未来助学公益基金会, 北京 100026;
3. 郑州轻工业大学机电工程学院, 河南郑州 450002;
4. 郑州轻工业大学国际教育学院, 河南郑州 450002

收稿日期: 2021-01-11

基金项目: 国家自然科学基金项目（52075500）；河南省重点科技攻关项目（202102210086）；河南省高等学校重点科研项目（21A460034）；郑州轻工业大学博士基金项目（2016BSJJ009）

关键词:

摘要: 针对目前关于单自由度振动研究存在的不足，给出包含初始条件的基于黏滞阻尼的自由振动和简谐激励振动响应计算式，绘制了相应的幅频曲线图和相频曲线图；展示了小阻尼共振曲线的过渡过程，指出了无阻尼振动响应的拍振现象；推导出了库仑摩擦力对位移差别的影响式.研究结果表明：对于无黏滞阻尼系统的共振响应，小库仑摩擦力抑制不住其增长趋势；当库仑摩擦力接近于激励力幅值时，才能使共振响应的幅值不超过稳态值.

English Abstract

Comprehensive research of single-degree-of-freedom vibration response based on viscous damping with initial conditions

1. College of Mechanical and Electrical Engineering, Shaanxi University of Science & Technology, Xi'an 710021, China;
2. Beijing Lide Future Public Welfare Foundation, Beijing 100026, China;
3. College of Mechanical and Electrical Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China;
4. College of International Education, Zhengzhou University of Light Industry, Zhengzhou 450002, China

Received Date: 2021-01-11

Abstract: In view of the some shortcomings of research on single-degree-of-freedom vibration at present, the response equations of the free vibration and harmonic excitation based on viscous damping with initial conditions were listed, the amplitude frequency and phase frequency curves were plotted. The transition process of the small damped resonance curve was shown, the beat vibration phenomenon of undamped vibration response was presented. The Influence formulas of Coulomb friction on the difference of displacement were derived,the influence regularity of Coulomb friction on the vibration response was studied. The results showed that the small Coulomb friction could not restrain the growth trend for resonant response of non-viscous damping system. Only when the Coulomb friction was close to the excitation force amplitude,the resonance response amplitude could be restrained from exceeding the steady state value.

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