| 双边刚性约束非光滑双摆的碰撞周期解 |
| |
| 引用本文： | 郭秀英,张刚,田瑞兰.双边刚性约束非光滑双摆的碰撞周期解[J].振动工程学报,2021,34(1):185-193. |
| |
| 作者姓名： | 郭秀英 张刚 田瑞兰 |
| |
| 作者单位： | 河北师范大学数学科学学院，河北石家庄050024；石家庄铁道大学数理系，河北石家庄050043；;石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室，河北石家庄050043；石家庄铁道大学工程力学系，河北石家庄050043 |
| |
| 基金项目： | 国家自然科学基金资助项目（11872253，1602151）；河北省杰出青年科学基金资助项目（A2017210177）；河北省教育厅百名优秀创新人才项目（SLRC2019037）；河北省自然科学基金资助项目（A2019421005，A2019402043）；河北省“三三三人才工程”资助项目（A202005007）；河北省高等学校科学技术研究项目（ZD2019047） |
| |
| 摘 要： | 构建双边对称刚性约束的非光滑双摆模型,研究简谐激励作用下该系统的碰撞周期解及其存在条件。应用模态分析法,引入矩阵理论,构造恰当的可逆变换矩阵,在理论上计算出物理参数和碰撞恢复系数的取值范围,并给出双碰周期解的解析表达式。在理论结果的基础上,利用碰撞恢复矩阵作为衔接条件,采用理论分析和数值模拟相结合的方法,分析系统小角度运动的碰撞周期解。
|
| 关 键 词： | 非线性振动 非光滑双摆 碰撞周期解 对称刚性约束 恢复系数 |
Impact periodic solution of a non-smooth double pendulum with bilateral rigid constraint |
| |
| GUO Xiu-ying,ZHANG Gang,TIAN Rui-lan.Impact periodic solution of a non-smooth double pendulum with bilateral rigid constraint[J].Journal of Vibration Engineering,2021,34(1):185-193. |
| |
| Authors: | GUO Xiu-ying ZHANG Gang TIAN Rui-lan |
| |
| Affiliation: | (School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China;Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;Department of Engineering Mechanics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China) |
| |
| Abstract: | A double pendulum model with bi-lateral rigid constraint is constructed under harmonic excitation.The impact periodic solution of a nonlinear dynamic system under harmonic excitation and its existence conditions are studied.Adopting the modal analysis and matrix theory,an invertible transformation is introduced to obtain the parameter conditions for the existence of the impact periodic solution of the system.On the basis of the theoretical calculation results,applying Matlab software,numerical simulation is carried out to obtain the impact periodic solution of the system with small angle motion,which verifies that the theoretical research results have certain theoretical guidance in engineering practice. |
| |
| Keywords: | nonlinear vibration non-smooth double pendulum impact periodic solution symmetric bilateral rigid constraint coefficient of restitution |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《振动工程学报》浏览原始摘要信息 |
|
点击此处可从《振动工程学报》下载全文 |
|
