Describing function of two masses with backlash

Describing Function Analysis of an Anti-Backlash Controller

Despite advances in design and fabrication, backlash remains a fundamental problem in precision mechanical applications. Deadzone and "play" in mechanical couplings cause hysteretic behavior as can structural components with memory. This behavior can degrade the performance of mechanical systems. When the system involves servo control, backlash can cause undesirable limit cycle oscillations. Ou...

Analysis of Systems with Backlash and Impacts through the Describing Function

Fractional Describing Function Analysis of Systems with Backlash and Impact Phenomena

This paper analyses the dynamical properties of systems with backlash and impact phenomena based on the describing function method. It is shown that this type of nonlinearity can be analyzed in the perspective of the fractional calculus theory. The fractional-order dynamics is illustrated using the Nyquist plot and the results are compared with those of standard models.

Describing Function Analysis of Mechanical Systems with Nonlinear Friction and Backlash Phenomena

This paper analyses the dynamical properties of systems with nonlinear friction and backlash phenomena based on the describing function method. The dynamics is illustrated using the Nyquist and Bode plots and the results are compared with those of standard models. Copyright © 2003 IFAC

Chaotic Response and Bifurcation Analysis of a Timoshenko Beam with Backlash Support Subjected to Moving Masses

A simply supported Timoshenko beam with an intermediate backlash is considered. The beam equations of motion are obtained based on the Timoshenko beam theory by including the dynamic effect of a moving mass travelling along the vibrating path. The equations of motion are discretized by using the assumed modes technique and solved using the Runge–Kutta method. The analysis methods employed in...