A composite method for the solution of first-order singular and nonlinear initial value problems
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.1, sa.1, ss.1-15, 2025 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 1 Sayı: 1
- Basım Tarihi: 2025
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1-15
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
The linear, three-dimensional problem of the interaction between an ice sheet and a bottom-mounted vertical circular cylinder in the presence of a pulsating point source beneath the ice is studied using the vertical mode (VM) method. The water beneath the ice is assumed to be inviscid, incompressible, and of finite depth. The ice sheet is rigidly attached to the cylinder's surface. No incident waves are present in the system. Potential flow theory is employed to determine the fluid motion, while the ice deflection for a thin elastic plate of constant thickness is governed by the Bernoulli-Euler equation. The study examines the hydrodynamic forces on the vertical cylinder, along with the resulting strain distributions and ice deflections in the ice cover, with particular focus on conditions that may lead to ice breaking induced by the oscillating point source.