Volume 38 Issue 10
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WANG Yong-liang, WANG Jian-hui, ZHANG Lei. ADAPTIVE MESH REFINEMENT ANALYSIS OF FINITE ELEMENT METHOD FOR FREE VIBRATION DISTURBANCE OF CIRCULARLY CURVED BEAMS WITH MULTIPLE CRACKS[J]. Engineering Mechanics, 2021, 38(10): 24-33. DOI: 10.6052/j.issn.1000-4750.2020.10.0708
Citation: WANG Yong-liang, WANG Jian-hui, ZHANG Lei. ADAPTIVE MESH REFINEMENT ANALYSIS OF FINITE ELEMENT METHOD FOR FREE VIBRATION DISTURBANCE OF CIRCULARLY CURVED BEAMS WITH MULTIPLE CRACKS[J]. Engineering Mechanics, 2021, 38(10): 24-33. DOI: 10.6052/j.issn.1000-4750.2020.10.0708
shu

ADAPTIVE MESH REFINEMENT ANALYSIS OF FINITE ELEMENT METHOD FOR FREE VIBRATION DISTURBANCE OF CIRCULARLY CURVED BEAMS WITH MULTIPLE CRACKS

  • 1.

    School of Mechanical and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China

  • 2.

    State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology (Beijing), Beijing 100083, China

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  • Received Date: October 03, 2020
  • Revised Date: December 16, 2020
  • Available Online: December 28, 2020
    Abstract
  • The scheme for the cross-section damage defects in a circularly curved beam is established to simulate the depth, the location and the number of multiple cracks, through implementing cross-section reduction induced by microcrack damage. The h-version adaptive finite element method of a variable cross-section Timoshenko beam is introduced to solve the free vibration of a circularly curved beam with cracks damage. Using the proposed method, the final optimized meshes and high-precision solution of natural frequency and mode shape satisfying the preset error tolerance can be obtained, and the disturbance behavior of multi crack damage on the vibration mode of a circularly curved beam is studied. Numerical examples show that the non-uniform mesh refinement can adapt to the change of mode of vibration induced by crack damage, which is applied to the free vibration research of various circularly curved beams with included angles and crack damage distribution conditions. Furthermore, the influences of crack damage depth, crack damage number, and crack damage distribution on the natural frequency and mode of vibration of a circularly curved beam are quantitatively analyzed, and the accuracy and practicability of the proposed algorithm are verified.
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    • References (29)
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