Vibration of Pre-Loaded Shallow Circular Arches

Eroǧlu U., Ruta G.

1st International Nonlinear Dynamics Conference, NODYCON 2019, Rome, İtalya, 17 - 20 Şubat 2019, ss.237-245 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1007/978-3-030-34713-0_24
  • Basıldığı Şehir: Rome
  • Basıldığı Ülke: İtalya
  • Sayfa Sayıları: ss.237-245
  • Anahtar Kelimeler: Perturbation, Shallow arch, Stability, Vibration
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

© 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: The transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.