A unified approach for free vibration response of shear deformable pipes conveying fluid
Mechanics Based Design of Structures and Machines, cilt.54, sa.1, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1080/15397734.2026.2739535
- Dergi Adı: Mechanics Based Design of Structures and Machines
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, DIALNET, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
- Anahtar Kelimeler: Complementary functions method (CFM), free vibration, laplace transform, natural frequency, pipes conveying fluid
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
This study presents a comprehensive dynamic analysis of isotropic and homogeneous pipes under flow conditions. The governing equations of motion are derived using energy principles and formulated within the Laplace transform domain to facilitate the treatment of complex boundary conditions. The Complementary Functions Method (CFM) is employed to obtain accurate and stable solutions for the system response. The proposed formulation accounts for the coupled interaction between the structural behavior of the pipe and the internal fluid flow, ensuring a realistic representation of the physical system. The state-space representation is constructed, and the associated differential system is solved through transition matrices, allowing for the evaluation of dynamic characteristics such as natural frequencies. Various boundary conditions are incorporated to demonstrate the versatility and robustness of the method. Numerical results are presented to validate the accuracy and computational efficiency of the approach, highlighting its effectiveness in comparison with existing methods reported in the literature. The findings confirm that the combined use of the Laplace transform and the CFM provides a powerful and reliable tool for the vibration analysis of fluid-conveying pipes, offering significant potential for engineering applications involving isotropic and homogeneous structures.