| 夏拥军,缪谦.计及二阶效应的门座起重机变幅工况动力学分析[J].计算力学学报,2010,27(4):711~715 |
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| 计及二阶效应的门座起重机变幅工况动力学分析 |
| Dynamic analysis of port crane in case of modifying amplitude with second-order effect |
| 投稿时间：2008-08-24 |
| DOI：10.7511/jslx20104024 |
| 中文关键词: 柔性梁杆系统 二阶效应 弹性动力分析 三结点Euler-Bernoulli梁单元 随动坐标法 |
| 英文关键词:flexible beam systems second-order effect elastic dynamics three-node Euler-Bernoulli beam element co-mobile coordination method |
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| 摘要点击次数: 1409 |
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| 中文摘要: |
| 对门座起重机的变幅工况进行了计及二阶效应的大范围运动弹性动力分析。使用柔性多体系统动力学方法描述柔性体的变形和运动,结合非线性有限元理论推导了一般运动柔性单元在局部坐标系下的计及二阶效应的动力学方程,进而使用三结点Euler-Bernoulli梁单元的形函数,推导了柔性梁单元的动力学方程。对该方程进行静力凝聚并使用随动坐标法,得到便于系统动力学方程组集的整体坐标系下的两结点梁单元动力学方程。对某型门座起重机臂架系统的变幅工况进行了计及二阶效应的弹性动力分析,结果表明:二阶弹性位移和内力均为相应线性解上的波动,且波动幅值较大,因此对大柔度重载机械应进行考虑二阶效应的弹性动力分析。 |
| 英文摘要: |
| The large scale moving elastic dynamics of port crane in case of modifying amplitude with second-order effect is analyzed. The deformation and motion of flexible body are described using the flexible multi-body system dynamics. The general flexible element’ dynamic equations with second-order effect in local coordination system are derived based on the nonlinear finite element theory. The dynamic equations of the flexible beam element are derived using the shape function of three-node Euler-Bernoulli beam element. The static condensation and co-mobile coordinate system are used and the dynamic equations of two-node beam element in global coordinate system are developed. The modifying-amplitude case of port crane’ boom system is analyzed with second-order effect considered. The results show that the displacement and internal force fluctuate on the linear solutions and the amplitude is bigger when the second-order effect is considered. So the heavy-duty flexible machine must be analyzed using the elastic dynamics with second-order effect. |
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