Modeling workpiece vibrations with neural networks

The entire workpiece on a lathe vibrates when it is excited at a single point. Frequency and time-domain/time-series techniques can estimate the force-displacement relationships between excitation and the individual points on the workpiece. In this paper, the use of single neural network is proposed to represent the force-displacement relationship between the applied excitation force and the vibration of the whole workpiece. The accuracy of the proposed approach is evaluated on the experimental data. Also, another neural network is used to store the frequency response characteristics of the workpiece.

[1]  S. Grossberg,et al.  The Adaptive Brain , 1990 .

[2]  J. Tlusty,et al.  Use of Shock Compared With Harmonic Excitation in Machine Tool Structure Analysis , 1974 .

[3]  M. Morf,et al.  Spectral Estimation , 2006 .

[4]  Manfred Weck,et al.  Handbook of machine tools , 1984 .

[5]  S. A. Tobias,et al.  On-Line Identification of Dynamic Behaviour of Machine Tool Structures During Stable Cutting , 1983 .

[6]  H. Akaike.  A new look at the statistical model identification , 1974 .

[7]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[8]  Kazuaki Iwata,et al.  In-Process Analysis of Machine Tool Structure Dynamics and Prediction of Machining Chatter , 1976 .

[9]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[10]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[11]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[12]  F. Koenigsberger,et al.  Machine Tool Structures , 1969 .

[13]  M. M. Sadek,et al.  On-line dynamic testing of machine tools using a mini-computer , 1973 .

[14]  David H. Sharp,et al.  Neural nets and artificial intelligence , 1989 .

[15]  M. M. Sadek,et al.  Pulse excitation technique for determining frequency response of machine tools using an on-line mini computer and a non-contacting electromagnetic exciter , 1983 .

[16]  M. M. Nigm.  A method for the analysis of machine tool chatter , 1981 .

[17]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[18]  S. A. Tobias.  Machine-tool vibration , 1965 .

[19]  S. Amari,et al.  A Mathematical Foundation for Statistical Neurodynamics , 1977 .

[20]  K. F. Eman,et al.  Experimental Complex Modal Analysis of Machine Tool Structures , 1989 .