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Reconstructing cantilever beams via vibration mode with a given node location

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Abstract

In this paper, we derive conditions for reconstructing the flexural stiffness of non-uniform cantilever beams by a mode that possesses a single node. The existence of beams with a specified location of the single node and various material density distributions is discussed.

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Authors and Affiliations

  1. Department of Physics, Anqing Teachers College, 246011, Anqing, People’s Republic of China

    Lei Wu, Li-hua Zhang & Qi-shen Wang

  2. Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, 33431-0991, USA

    Isaac Elishakoff

Authors
  1. Lei Wu
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  2. Li-hua Zhang
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  3. Qi-shen Wang
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  4. Isaac Elishakoff
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Correspondence to Isaac Elishakoff.

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Wu, L., Zhang, Lh., Wang, Qs. et al. Reconstructing cantilever beams via vibration mode with a given node location. Acta Mech 217, 135–148 (2011). https://doi.org/10.1007/s00707-010-0383-9

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  • DOI: https://doi.org/10.1007/s00707-010-0383-9

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