Akademik Veri Yönetim Sistemi
Steel and Composite Structures, cilt.59, sa.1, ss.81-107, 2026 (SCI-Expanded, Scopus)
In this study, the vibration of a nanowire supported with elastic springs is analyzed under size effect. Classical strain gradient theory is used to account for the impact of small size, while the vertical displacement function is represented by two constant coefficients at the boundaries and a Fourier sine series within the domain. The effects of perforation and short fibers are considered in the geometry and material, respectively. Stokes’ transformation is applied to force the springs at the boundaries to the desired supporting condition. High-order force boundary conditions are used for this purpose. Unlike the natural boundary conditions typically found in most previous studies, the results obtained in this study have a physical meaning since force conditions are used. Thanks to the coefficients matrix obtained, the differential equation does not need to be solved again for each change in boundary conditions. The solutions for elastic boundary conditions are compared with those in the literature, showing a perfect match. The unique aspect of this paper is the presentation of a method that can solve both rigid and deformable boundary conditions of perforated and short-fiber-reinforced nanowires for lateral vibration based on the classical strain gradient theory.