Vibration analysis of multiple-stepped beams with the composite element model
Vibration analysis of multiple-stepped beams with the composite element model
复制标题
DOI：
10.1016/j.jsv.2008.11.041
复制
发表时间：
2009-05-22
影响因子：
4.7
通讯作者：
Liao, W. Y.
中科院分区：
文献类型：
--
作者：
Lu, Z. R.;Huang, M.;Liao, W. Y.
本文提出了一种用组合单元法分析多截面阶梯梁的自由振动和强迫振动的新方法。并将计算结果与导纳函数法、经典Rayleigh-Ritz法及有限元结果进行了比较。计算结果表明，复合单元法与有限元法及其它方法所得的固有频率基本一致。用组合单元法计算了阶梯梁的强迫振动响应，并与有限元法计算结果进行了比较。从这两种方法的时间历程被发现匹配得很好。这表明了阶梯梁振动分析方法的正确性。所提出的方法可以很容易地扩展到处理由任意数量的非均匀段组成的梁。(C)2008爱思唯尔有限公司保留所有权利。
A new approach to analyze the free and forced vibrations of beams with multiple cross-section steps is proposed using a composite element method in this paper. The results are compared to receptance function method and classical Rayleigh-Ritz method and finite element results. The natural frequencies obtained from the composite element method are found to be in close agreement with other methods mentioned above and finite element method. The forced vibration responses of the stepped beam are also calculated from the composite element method and compared with those obtained from the finite element method. Time histories from both methods are found to match very well. This indicates the correctness of the proposed method for vibration analyses of the stepped beam. The proposed method can be extended easily to deal with beams consisting of an arbitrary number of nonuniform segments. (C) 2008 Elsevier Ltd. All rights reserved.