The initialand boundary-value problem for the Benjamin-Bona-Mahony (BBM) equation is studied in this paper. The goal is to understand the periodic behavior (termed as eventual periodicity) of its solutions corresponding to periodic boundary condition or periodic forcing. To this aim, we derive a new formula representing solutions of this initialand boundary-value problem by inverting the operat...

Abstract Noise emissions belong to the crucial design characteristics in modern transmissions. The most efficient way achieve beneficial noise behavior is reduce excitation tooth contact, since contact represents main source of gearboxes. Special flank modifications may optimize behavior, but common approach uses static assumptions, whereas operating conditions include dynamic operation. applic...