Application of Newmark Average Acceleration and Ritz Methods on Dynamical Analysis of Composite Beams under a Moving Load

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Akbaş Ş. D., Numanoglu H. M., Akgöz B., Civalek Ö.

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol.8, no.2, pp.764-773, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.22055/jacm.2022.39345.3393
  • Journal Name: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.764-773
  • Keywords: Reinforced composite beam, Dynamical behavior, Lagrange procedure, Newmark Average Acceleration method, Ritz method, FREE-VIBRATION ANALYSIS, SHEAR DEFORMATION-THEORY, NONLINEAR FREE-VIBRATION, WALLED CARBON NANOTUBES, ANNULAR SECTOR PLATES, BUCKLING ANALYSIS, FORCED VIBRATION, TIMOSHENKO BEAMS, FGM PLATES, SANDWICH BEAMS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, dynamic results of carbon nanotube (CNT)-reinforced composite beams under a moving load are presented. The constitutive equations in motion are obtained by the Lagrange procedure according to Timoshenko beam theory and then solved by using the Ritz method. In the solution of the moving load problem, the Newmark average acceleration method is used in the time history. In the numerical results, the effects of CNTs' volume fraction, patterns of CNTs, and the velocity of moving load on the dynamic responses of CNT-reinforced composite beam are investigated in detail. It is observed that the reinforcement patterns and volume fraction of CNTs are very effective on the behavior of the moving load. Also, it is found that X-Beam and 0Beam have the biggest and lowest rigidities in all models, respectively.