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一种求解多阶梯悬臂梁自由振动问题的新方法与实验验证

     

摘要

对复合单元法(composite element method,CEM)在多阶梯悬臂梁自由振动问题中的应用进行了实验验证.通过对具有2个阶梯和4个阶梯的悬臂梁进行模态测试,得到了实测的前几阶模态频率和相应的振型.将多阶梯悬臂梁在不同复合单元下的固有频率和振型计算结果与有限单元法所得结果及实测值进行了比较研究.结果表明:复合单元法所得到的频率和振型与实测结果符合得较好,并且具有建模时自由度少,高效高精度的优点.%An experimental is conducted to verify the correctness of composite element method ( CEM) for free vibration analysis ofrnbeam with multiple steps. Two modal tests are carried out for beams with two steps and four steps, and the first few modal frequenciesrnand the associated mode shapes are obtained. For the cases of different elements, comparison on the natural frequencies and modernshape is conducted for the results from the CEM, ANSYS and the measured ones. Results in this paper show that the results from CEMrnagree well with the measured ones. And the CEM has the advantages of small number of degree-of-freedom in the modeling and highrnpreciseness.

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