Akademik Veri Yönetim Sistemi
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN, cilt.22, sa.1, 2025 (SCI-Expanded, Scopus)
In this study, the free vibration behavior of a viscoelastic nanobeam resting in a nonlocal viscoelastic medium is analytically investigated using the Navier solution method. A modified Jeffreys-type viscoelastic model, consisting of one elastic and two viscous elements, is employed to more accurately represent the time-dependent and hereditary mechanical behavior of the beam material. The equations of motion are formulated by combining stress-driven model and, nonlocal elasticity theory for viscoelastic foundation. These are coupled with the modified Jeffreys model to derive a generalized differential equation that captures both stress-driven effects and nonlocal viscoelastic interactions within a unified analytical framework. Unlike conventional studies limited to classical viscoelastic formulations, this work introduces an enhanced viscoelastic model to describe viscoelastic nanobeam dynamics under the influence of a nonlocal viscoelastic foundation, providing a more realistic depiction of nanoscale structural behavior. The analytical closed-form solutions obtained allow a detailed investigation of how scale effects, viscous damping, and foundation parameters influence the dynamic response characteristics of viscoelastic nanobeams. This theoretical contribution highlights that the dynamic behavior of nanobeams is strongly governed by the coupled effects of nonlocal elasticity and advanced viscoelasticity, offering new insights into nanoscale material modeling and providing a valuable analytical benchmark for future nanomechanical system designs.