Vibration analysis of Bishop nanorods under transverse magnetic field effect
MECHANICS RESEARCH COMMUNICATIONS, vol.156, pp.1-13, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 156
- Publication Date: 2026
- Doi Number: 10.1016/j.mechrescom.2026.104772
- Journal Name: MECHANICS RESEARCH COMMUNICATIONS
- Journal Indexes: Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Scopus, Science Citation Index Expanded (SCI-EXPANDED), Compendex, INSPEC, zbMATH
- Page Numbers: pp.1-13
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
This study presents the first analytical investigation of longitudinal vibration characteristics of Bishop-type nanorods subjected to transverse magnetic field. Two different boundary conditions are considered in the analysis: both clamped-clamped and clamped-free. In the Bishop nanorod model, shear deformation and rotational inertia effects are considered, and governing equation of motion of the system is formulated based on Hamilton’s principle. Then, the electromechanical interaction terms generated by the transverse magnetic field are obtained based on Maxwell's equations, and these effects are integrated into equation of motion. The obtained governing differential equation is solved through suitable analytical transformations, and two distinct boundary conditions are taken into consideration. To demonstrate consistency of the model, the results obtained are compared with existing studies in literature. In addition, the effects of magnetic field parameters and nonlocal parameters on the natural frequency are investigated with a detailed parametric analysis. The study reveals opposing effects of magnetic field and size on nanoscale structures, providing theoretical basis for design of magneto-elastic nano sensors and NEMS-based devices.