The beams are frequently utilized in construction as well the fabrication of vehicles like trains, ships, and airplanes. Depending on necessary working circumstances, several materials may have been production these beams, from high fatigue resistance, corrosion strong earthquake other aspects. As a result, composite made glass or carbon fibers increasingly commonly employed. This is result its...

The classical and quantum dynamic of a nonlinear chareged vibrating string and its interaction with quantum vacuum field is investigated. Some probability amplitudes for transitions between vacuum field and quantum states of the string are obtained. The effect of nonlinearity on some probability amplitudes is investigated and finally the corect equation for string containing the vacuum and radi...

The dynamic behavior of a physical pendulum system of which the support is subjected to both rotation and vertical vibration are studied in this paper. Both analytical and computational results are employed to obtain the characteristics of the system. By using Lyapunov's direct method the conditions of stability of the relative equilibrium position can be determined. Melnikov's method is applie...