Experimental Verification of the Importance of The Nonlinear Curvature in the Response of a Cantilever Beam

Experimental Verification of the Importance of The Nonlinear Curvature in the Response of a Cantilever Beam
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DOI:
10.1115/1.2889630
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发表时间:
1994-04
期刊:
Journal of Vibration and Acoustics
影响因子:
--
通讯作者:
T. Anderson;A. Nayfeh;B. Balachandran
T. Anderson;A. Nayfeh;B. Balachandran
中科院分区:
其他
文献类型:
--
作者:
T. Anderson;A. Nayfeh;B. Balachandran

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对参量激励细长悬臂梁的第一模式和第二模式响应进行了实验和理论研究。在分析模型中包含二次阻尼显着提高了实验结果与理论结果之间的一致性。此外,实验结果验证了经常被忽视的非线性曲率项在第一模态响应中起主导作用,并且非线性惯性项在第二模态响应中起主导作用。
An experimental and theoretical investigation into the first- and second-mode responses of a parametrically excited slender cantilever beam is presented. Inclusion of quadratic damping in the analytical model significantly improves the agreement between the experimental and theoretical results. In addition, the experimental results verify that the often ignored nonlinear curvature terms play a dominant role in the response of the first mode and that the nonlinear inertia terms play a dominant role in the response of the second mode.