Interactions between parametric, self-, and externally excited vibrations are analysed in this paper. The physical model of the vibrating system consists of a non-linear spring with periodically changing stiffness of Mathieu type and a non-linear damping described by Rayleigh’s term. This system is additionally forced by a harmonic force (ideal system), or by a non-ideal energy source represent...

In radiation therapy with high-energy photon beams (E > 10 MeV) neutrons are generated mainly in linacs head thorough (γ,n) interactions of photons with nuclei of high atomic number materials that constitute the linac head and the beam collimation system. These neutrons affect the shielding requirements in radiation therapy rooms and also increase the out-of-field radiation dose of patients und...

Non-linear flexural vibration of beams with various boundary conditions such as hinged–hinged, clamped–clamped and clamped–hinged has been extensively studied using analytical approaches and numerical methods like FEM. A detailed review has been brought out by Rosenberg [1] and Satyamoorthy [2]. However, the investigation pertaining to the cantilever case, which is also of practical interest, i...

In an external prestressing system, there is no strain compatibility between the cable and the concrete at every cross-section, the increment of cable strain must be evaluated by taking into account the whole structure, rather than performing the calculation at each section, independently. In this study, a method for the calculation of cable strain, which is based on the deformation compatibili...

The influence of the beam geometry on the quality factor and resonance frequency of resonant silicon cantilever beams vibrating in their fundamental in-plane flexural mode in water has been investigated. Compared to cantilevers vibrating in their first out-of-plane flexural mode, utilizing the in-plane mode results in reduced damping and reduced mass loading by the surrounding fluid. Quality fa...

In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems arbitrary order N ∈ ℕ on a bounded 1-dimensional spatial domain ( , b ). to achieve stabilization, couple system dynamic boundary controller, that is, controller acts only via points domain. We use nonlinear in capture behavior realistic actuators often exhibit and, moreover, allow output be corrupted by a...