STATISTICAL RESPONSE OF A BAR IN TENSION
Final rept. July 1959-Sep 1961
MINNESOTA UNIV MINNEAPOLIS
Pagination or Media Count:
Theoretical and experimental statistical analysis of the random response of a continuous bar in tension is presented. Particular attention has been paid to the probability distribution of the strain response which, for a linear second-order system under gaussian excitation, follows a Rayleigh distribution. However, when the excitation level of the clamped-clamped continuous bar is sufficiently high so that the tensile strain becomes comparable with the bending strain, then the strain crest distribution no longer follows the Rayleigh prediction. At high strain levels the distribution of positive crests as well as maxima is greater than the Rayleigh prediction and the distribution of negative crests as well as minima is less. The distribution of positive maxima falls below the positive crest distribution as the Q of the system de creases. Similarly the distribution of negative minima falls below the negative crest distribution as the Q decreases.