A “self-induced” vibration is defined as a phenomenon in which the alternating forces
furnishing the energy to the vibration are controlled by the motion, in contradistinction to a …

pip HBEF ^ Page 1 pip HBEF ^ " S ^ M ^ fl ^ ta b On the recommendation of the Executive
Committee of the ASME Applied Mechanics Division, it was decided to initiate a section …

Ahmed Shabana Third Edition Page 1 Mechanical Engineering Series Ahmed Shabana Vibration
of Discrete and Continuous Systems Third Edition Page 2 Mechanical Engineering Series …

1. Introduction. The purpose of our lecture is, briefly stated, the discussion of periodic
solutions of the differential equation x+ f (x)= F cos cot,(1) in which f (x) is in general a …

The purpose of this book is to provide students, practicing engineers and scientists with a
treatment of nonlinear phenomena occurring in physical systems. Although only mechanical …

Introduction. Cor tain properties of normal mode vibrations have been studied fairly
extensively in recent times [1]. However, the question of their existence has largely remained …

In nature and engineering, there is a type of sustained periodic motion of dynamic systems
not subjected to any outside alternating effect. It is caused by the interaction among the …

In the last decade the development in vibration analysis was char acterized by increasing
demands on precision and by the growing use of electronic computers. At present …

An analysis is presented of the possibility of initiation of two-frequency self-excited
vibrations, and it is shown on this basis, and amply documented by analogue solutions, that …