Accession Number : AD0675283

Title :   RESONANCE PROPERTIES WITH ONE DEGREE OF FREEDOM WITH RANDOMLY VARIABLE NATURAL FREQUENCY (REZONANSNYE SVOISTVA SISTEMY S ODNOI STEPENYU SVOBODY SO SLUCHAINO IZMENYAYUSHCHEISYA SOBSTVENNOI CHASTOTOI),

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Dimentberg,M. F.

Report Date : 14 NOV 1967

Pagination or Media Count : 16

Abstract : Examined here are forced resonance vibrations of a system with one degree of freedom whose natural frequency constitutes a stationary random function of time. It is shown that if the spectral density of the latter is a continuous nonincreasing function, then such random changes of natural frequency lead to a lowering on the average of the amplitude of resonance vibrations; in the case of a short time of correlation the magnitude of this lowering in the first approximation is proportional to the difference of values of spectral density near the zero frequency and near the frequency of the basic parametric resonance. In the first approximation there is determined also the dispersion of the lowering of the amplitude. As an example there is examined the problem of bending vibrations of an elastic rod during simultaneous action of periodic (in time) lateral load and random (in time) longitudinal force. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, PROBLEM SOLVING), RESONANT FREQUENCY, STOCHASTIC PROCESSES, VIBRATION, BENDING, EQUATIONS OF MOTION, DAMPING, USSR

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE