In this tutorial, we cover the effect of nonlinear spring forces on (micro)resonators. The motivation of analysis is: i. to understand the nonlinear effects observed with real resonators and ii. to estimate the maximum vibration amplitude where vibrations are almost linear. Knowing the range for linear vibrations sets the dynamic range for resonators. On the lower end, the usable range is limit...

When material is subjected to an intense load its stiffness changes due to elastic nonlinearity. This effect is especially pronounced in damaged materials so that nonlinearity can be used as an indication of incipient damage. Under dynamic load, mechanical constraint between the fragments of planar defects provides gigantic nonlinearity in finite-amplitude contact vibrations. The local vibratio...

The consecutive speed-control humps (SCHs) possess the function of controlling speed forcibly, but cause violent vibration of a vehicle inevitably. This paper tries to further explore the inherent link among parameters of the SCHs, velocity and vehicle vibration. A 4-DOF nonlinear half-vehicle model with nonlinear springs and nonlinear dampers is established. The consecutive SCHs-speed coupling...