We consider the properties of one-dimensional oscillations a relativistic particle under driving harmonic force. It is found that in general case speed are an infinite sum odd sinusoidal and even cosinusoidal waves. In limiting ultra-relativistic particle, they represent square wave. There also oscillation suppression for large values force amplitude particular its initial phase. this case, per...

Intracochlear pressure was measured close to the basal basilar membrane in gerbil with pure-tone stimulation. This report describes harmonic distortion in the pressure. The harmonic components were tuned in frequency and physiologically vulnerable, implying that they were related to the cell-derived force that sharpens tuning at low levels in healthy cochleae. For stimulus frequencies in the vi...

The nonlinear Boltzmann Kac's model under the influence of a external force field arising from a potential φ = φ(x) is considered, and the global existence and uniqueness for the general solution to the initial value problem is proved. The result is proved for small initial data in the case potential bounded from below. As an application, some results concerning the harmonic oscillator are obta...

Many musical instruments consist essentially of resonant systems having only approximately harmonic normal modes and excited by a force that depends nonlinearly on the velocities associated with tho•e modes. An approximate condition is derived for the resulting sound spectrum to consist of components rigorously locked into harmonic relationship. Such mode locking is favored by nearly harmonic n...

The atomic force microscope ~AFM! is a powerful tool for investigating surfaces at atomic scales. Harmonic balance and power balance techniques are introduced to analyze the tapping-mode dynamics of the atomic force microscope. The harmonic balance perspective explains observations hitherto unexplained in the AFM literature. A nonconservative model for the cantilever–sample interaction is devel...

The harmonic motion imaging (HMI) technique for simultaneous monitoring and generation of ultrasound therapy using two separate focused ultrasound transducer elements was previously demonstrated. In this study, a new HMI technique is described that images tissue displacement induced by a harmonic radiation force using a single focused-ultrasound element. A wave propagation simulation model firs...