Spectral Analysis of the Transient Response of a System to Random Excitation

1966 ◽  
Vol 33 (3) ◽  
pp. 700-702 ◽  
Author(s):  
C. L. Pullen ◽  
H. C. Peterson
1988 ◽  
Vol 110 (2) ◽  
pp. 205-209
Author(s):  
A. V. Singh

This paper presents the random vibration analysis of a simply supported cylindrical shell under a ring load which is uniform around the circumference. The time history of the excitation is assumed to be a stationary wide-band random process. The finite element method and the condition of symmetry along the length of the cylinder are used to calculate the natural frequencies and associated mode shapes. Maximum values of the mean square displacements and velocities occur at the point of application of the load. It is seen that the transient response of the shell under wide band stationary excitation is nonstationary in the initial stages and approaches the stationary solution for large value of time.


1961 ◽  
Vol 28 (4) ◽  
pp. 563-566 ◽  
Author(s):  
T. K. Caughey ◽  
H. J. Stumpf

This paper analyzes the transient response of a simple harmonic oscillator to a stationary random input having an arbitrary power spectrum. The application of the results of this analysis to the response of structures to strong-motion earthquakes is discussed.


1975 ◽  
Vol 42 (4) ◽  
pp. 891-893 ◽  
Author(s):  
S. R. Soni ◽  
K. Surendran

Transient response of second-order systems with a slightly nonlinear restoring force is analyzed for random inputs using perturbation technique. Mean square responses, up to the second-order of correction, are obtained for white and exponentially decaying correlation functions.


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