An asymmetric model two-dimensional oscillator

Rath B., Ertürk V. S., Asad J., Mallick P., Jarrar R.

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, cilt.43, sa.2, ss.744-754, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1177/14613484241228749
  • Dergi Adı: JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.744-754
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We present a novel 2D oscillator with an asymmetric design and investigate its stable vibration utilizing the Ms-DTM method. Initially, we obtain the equations of motion for the proposed system. Subsequently, by employing Taylor expansion of sinhz and coshz, the derived nonlinear equations are transformed into linear ones, which we solve analytically using the eigenvalues-eigenfunctions technique. Additionally, we solve the obtained nonlinear system using the Ms-DTM method. Lastly, we examine the stability of the nonlinear system by visualizing the closed nature of the phase portrait.