In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling. Wave propagation in a medium has a similar formulation as vibrations and thus,  it can be used to describe the vibration behavior. Boundaries reflect the propagating waves after incident. Firstly, the governing quation of nanoro...

Abstract The paper concerns coupling between longitudinal and transverse vibrations of tensioned Euler-Bernoulli beams with general linear boundary conditions arbitrary elastic stiffness. are assumed to be perfectly straight symmetric conditions, excitation aligned the axis. Two types excitation, harmonic impact, considered. A relatively simple approach is proposed predict qualitatively describ...

Analysis of longitudinal vibration in a nanorod is an important subject science and engineering due to its vast application nanotechnology. This paper introduces port-Hamiltonian formulation for the vibrations nanorod, which shows that this model essentially hyperbolic. Furthermore, it investigates spectral properties associated system operator. Standard distributed control feedback are shown n...

A scheme is presented that is based on the alloy analogy model and allows one to account for thermal lattice vibrations as well as spin fluctuations when calculating response quantities in solids. Various models to deal with spin fluctuations are discussed concerning their impact on the resulting temperature-dependent magnetic moment, longitudinal conductivity, and Gilbert damping parameter. It...

The article focuses on the research of processes summation ultrasonic vibrations individual Langevin transducers symmetrically arranged a common summator. This design could be used to solve problem increasing power high-frequency radiator by means transducers. results presented theoretical and experimental investigations supported possibility symmetrical diametrical when they are transformed in...