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| 阻尼动力吸振器的吸振机理及其试验验证 |
| Mechanism of damped dynamic vibration absorber and its experimental verification |
| 投稿时间：2022-10-19 |
| DOI： |
| 中文关键词: 阻尼动力吸振器 二自由度系统 矩阵复指数算法 位移振幅 幅频特性曲线 |
| 英文关键词: damped dynamic vibration absorber two-degree-of-freedom system matrix complex exponential algorithm displacement amplitude amplitude-frequency curve |
| 基金项目:国家自然科学基金面上项目(52075292)；2022年三峡大学研究生教学改革研究培育项目(SDYJ202203). |
| 作者 | 单位 | E-mail | | 田红亮 | 三峡大学机械与动力学院,湖北 宜昌,443002 | thl19732003@aliyun.com | | 田戚可人 | 三峡大学电气与新能源学院,湖北 宜昌,443002 | | | 杨蔚华 | 三峡大学机械与动力学院,湖北 宜昌,443002 | | | 方子帆 | 三峡大学机械与动力学院,湖北 宜昌,443002 | | | 董元发 | 三峡大学机械与动力学院,湖北 宜昌,443002 | |
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| 中文摘要: |
| 采用矩阵复指数算法推导正弦激励力作用下二自由度系统主质量位移振幅的解析解,对所有幅频特性曲线都交于2个固定点进行了严格证明,并通过MATLAB数值仿真和悬臂梁振动试验进行解析解的验证。结果表明:当阻尼比等于零时,主系统幅频特性曲线有2个开口向上峰,当阻尼比趋近于无穷大时,主系统幅频特性曲线只有1个开口向上峰；2个固定点均具有极大值但非最大值；数值仿真与悬臂梁的振动试验结果非常接近,相对误差为-3.864%~5.729%,验证了所推导的一系列解析解的正确性。 |
| 英文摘要: |
| The analytical solutions for the main mass displacement amplitude of a two-degree-of-freedom system under sinusoidal excitation were derived by using the matrix complex exponential algorithm. It was strictly proved that all amplitude-frequency curves intersect at two fixed points, and the analytical solutions were verified through MATLAB numerical simulation and vibration tests of a cantilever beam. The results show that the amplitude-frequency curve of the main system has two upward-opening peaks when the damping ratio is zero, and has only one upward-opening peak when the damping ratio approaches infinity. Both fixed points have the extremums but not the maximum values. The numerical simulation results are very close to the vibration test results and the relative error is -3.864%~5.729%, which proves the validity of the derived analytical solutions. |
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