| 弹性连杆的动力学建模与稳定性分析 |
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| 引用本文： | 朱晓东 冯志华. 弹性连杆的动力学建模与稳定性分析[J]. 中国制造业信息化, 2006, 35(12): 55-58 |
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| 作者姓名： | 朱晓东 冯志华 |
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| 作者单位： | 苏州大学机电工程学院,江苏苏州215021 |
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| 基金项目： | 国家自然科学基金资助项目（10572099）;苏州大学211工程建设项目（R2317038） |
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| 摘 要： | 考虑连杆弹性的曲柄滑块机构为受约束刚弹耦合机械系统，采用Kane方程，将连杆弹性变形用伽辽全法离散成空间函数和广义坐标的乘积，计及轴向缩短对连杆角速度的影响，推导出弹性连杆多自由度线性参激振动方程组。应用多尺度法并结合笛卡尔坐标变换，分析连杆第一阶弯曲模态的主参激共振，获得平凡响应稳定性临界曲线，并讨论阻尼比和惯性比等参数的影响。
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| 关 键 词： | 弹性连杆 Kane方程 伽辽金法 多尺度法 主参激共振 稳定性 |
| 收稿时间： | 2006-10-12 |
The Dynamic Modeling and Stability Analysis of an Elastic Link |
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| ZHU Xiao - dong, FENG Zhi - hua. The Dynamic Modeling and Stability Analysis of an Elastic Link[J]. Manufacture Information Engineering of China, 2006, 35(12): 55-58 |
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| Authors: | ZHU Xiao - dong FENG Zhi - hua |
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| Affiliation: | Soochow University, Jiangsu Suzhou, 215021, China |
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| Abstract: | It builds the model of elastic link in a crank - slider mechanism, which is constrained with rigid - elastic coupled mechanical system. Adopting the Kane equation, the elastic deformation is diseretized into the serial product Of spatial functions and general coordinates. It derives the excited vibration system for the elastic link including the diverse angular velocity of link due to longitudinal shortening, the linear equations of multi- degree parametrically. Using the method of multiple scales and combining the Cartesian transformation, it analyzes the principal parametric resonance of the first order bending mode and obtains the transition curve of stability for the trivial response, discusses the effects of damping ratio and inertia ratio. |
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| Keywords: | Elastic Link Kane Equation Galerkin Method Method of Multiple Scales Principal Parametric Resonance Stability |
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