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The objective of this research is to study the trend of natural frequencies between a uniform rod and a cracked rod with various crack positions by equations based on the non-local elasticity theory. For this study, we study a uniform fixed-free rod undergoing a free longitudinal vibration. The results of the natural frequency obtained from the eigenfunction for the cracked rod yielded results that correspond with the theory that the natural frequency was supposed to decrease if cracks are present.

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Computational Analysis for Failure of a Metal Rod

  • 会议论文

  • 发表日期：

    2026年

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  • Suchakree Euaumpon,
  • Vichayuth Satja,
  • Thira Jearsiripongkul

摘要

The objective of this research is to study the trend of natural frequencies between a uniform rod and a cracked rod with various crack positions by equations based on the non-local elasticity theory. For this study, we study a uniform fixed-free rod undergoing a free longitudinal vibration. The results of the natural frequency obtained from the eigenfunction for the cracked rod yielded results that correspond with the theory that the natural frequency was supposed to decrease if cracks are present.