This paper investigates the free vibrations of two homogeneous, isotropic beams coupled by three double spring-mass elastic systems, based on Euler-Bernoulli beam theory. The primary objective is to obtain new information on the natural frequencies and modes of vibration of this complex structure subjected to free vibrations. This in-depth study is carried out by dividing the structure into beam segments, which allows a system of equations to be formulated by applying continuity and boundary conditions. The system is analyzed using the iterative Newton-Raphson method, ensuring accurate representation of the associated vibration modes. Finally, our results are validated by comparison with existing data in the literature, confirming the accuracy and relevance of our methodology.

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Free Bending Vibration of a Double Beams Structure Elastically Coupled via Three Double Spring-Mass Devices

  • Mustapha Hassa,
  • Ahmed Adri,
  • Yassine El Khouddar,
  • Omar Outassafte,
  • Issam El Hantati,
  • Rhali Benamar

摘要

This paper investigates the free vibrations of two homogeneous, isotropic beams coupled by three double spring-mass elastic systems, based on Euler-Bernoulli beam theory. The primary objective is to obtain new information on the natural frequencies and modes of vibration of this complex structure subjected to free vibrations. This in-depth study is carried out by dividing the structure into beam segments, which allows a system of equations to be formulated by applying continuity and boundary conditions. The system is analyzed using the iterative Newton-Raphson method, ensuring accurate representation of the associated vibration modes. Finally, our results are validated by comparison with existing data in the literature, confirming the accuracy and relevance of our methodology.