Sound Wave Propagation in a Multiferroic Thermo Elastic Nano Fiber Under the Influence of Surface Effect and Parametric Excitation

Document Type: Research Paper


1 Department of Mathematics, Karunya Institute of Technology and Sciences Coimbatore-641114, Tamilnadu, India

2 Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India



This study investigates that the sound wave propagation of multiferroic thermo elastic Nanofibers under the influence of surface effect and parametric excitation via Timoshenko form of beam equations. The equation of analytical model is obtained for Nanofiber through shear and rotation effect. The solution of the problem is reached through the coupled time harmonic equations in flexural direction. Graphs are drawn for frequency, phase velocity, piezoelectric strain, magnetic field and dynamic displacement at different vibration modes of Nanofibers. From the result obtained, it is seen that the surface effect and excitation frequency gives significant contribution to the physical variables of the Nanofiber. The frequency grows in the presence of surface effect and decay as length increases both in Euler’s and Timoshenko beam theory. Also, a comparison of numerical results is made with existing literature and good agreement is arrived. The present study is expected to be more helpful for the design of piezo-thermo-magneto-mechanical Nanofiber-based devices.


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