RESEARCH PAPERS: Vibration and Sound

Dynamic Stability of a Vibrating Hammer

[+] Author and Article Information
J. Inoue

Department of Mechanical Engineering, Kyushu University, Higashi-ku Fukuoka, Japan

S. Miyaura

Department of Mechanical Engineering, Kyushu Insitute of Technology, Tobata-ku Kitakyushu, Japan

J. Vib., Acoust., Stress, and Reliab 105(3), 321-325 (Jul 01, 1983) (5 pages) doi:10.1115/1.3269108 History: Received June 03, 1981; Online November 23, 2009


This paper deals with the stability of motion of an elastically suspended vibrating hammer that impacts upon an energy absorbing surface referring to the dynamical interaction between a vibrating hammer and a motor. Assuming an ideal source [1] of energy is characteristic of a motor, then the force mr ω2 cosωt appears to be the vertical component of the inertia force of the mass m . The mass m is located the distance r from the axis 0 and rotates by frequency ω. Hence the basic equation of a vibrating system takes the form of a linear system. Fu [2] has investigated the regions of stability of the system as the linear system. In the case of practical use, however, a limited power source called a “nonideal source of energy” is the characteristic of a motor. Accordingly, it follows that the motion of an oscillating system with a nonideal source of energy may be formulated as a nonlinear system. The local stability of the sytem desired by a nonlinear equation is presented in our paper. Finally, the results of the regions of stability are compared with those studied in Fu.

Copyright © 1983 by ASME
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