Out-of-plane vibration analysis of axially functionally graded circular, parabolic, and sinusoidal beams resting on Pasternak foundation
Archive of Applied Mechanics, cilt.96, sa.8, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 96 Sayı: 8
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s00419-026-03171-9
- Dergi Adı: Archive of Applied Mechanics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Compendex, INSPEC, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Axially functionally graded material, Complementary functions method, Curved beams, Laplace domain, Pasternak foundation
- Çukurova Üniversitesi Adresli: Evet
Özet
The purpose of this study is to examine the out-of-plane free and forced vibration responses of axially functionally graded (AFG) curved beams resting on the Pasternak foundation. The dynamic analysis of beams with circular, parabolic, and sinusoidal shapes is carried out within the framework of Timoshenko beam theory. The curved-axis kinematics are defined using the Frenet–Serret frame, and the system’s differential equations are obtained from the equilibrium, compatibility, and constitutive equations. A unified method based on the combination of the Laplace transform and the complementary functions method (CFM) is used to analyze the damped and undamped vibration response of AFG curved beams. The viscoelastic behavior has been included in the formulation via the Kelvin damping model. Unlike previous isolated models, the primary novelty of this work lies in the simultaneous integration of out-of-plane spatial kinematics, arbitrary variable curvatures, and foundation interactions into a single, discretization-free state-space framework for continuous AFG beams. The results indicate that curvature distribution, material gradient index, radius-to-thickness ratio, boundary conditions, foundation parameters, and damping effects play a significant role in natural frequencies and transient dynamic response for curved beams resting on a Pasternak foundation.