Discussion: “Response of a Loaded Nonlinear String to Random Excitation” (Ariaratnam, S. T., 1962, ASME J. Appl. Mech., 29, pp. 483–485)

1963 ◽  
Vol 30 (4) ◽  
pp. 636-636
Author(s):  
R. H. Lyon
Keyword(s):  
Random Excitation ◽  
Nonlinear String

scholarly journals Response of a Nonlinear String to Random Loading

1959 ◽  
Vol 26 (3) ◽  
pp. 341-344
Author(s):  
T. K. Caughey
Keyword(s):  
Random Excitation ◽  
Additional Stress ◽  
Random Loading ◽  
Equivalent Linear ◽  
Linear String ◽  
The Mean ◽  
Nonlinear String

Abstract This paper considers the response of a nonlinear string to random excitation. It is shown that, owing to the additional stress induced by the stretching of the string, the mean squared deflection at every point is smaller than that for the equivalent linear string.

Response of a Loaded Nonlinear String to Random Excitation

1962 ◽  
Vol 29 (3) ◽  
pp. 483-485 ◽  
Author(s):  
S. T. Ariaratnam
Keyword(s):  
Planck Equation ◽  
Nonlinear Effects ◽  
String Tension ◽  
Random Excitation ◽  
Markov Random ◽  
Fokker Planck Equation ◽  
Markov Random Process ◽  
The Mean ◽  
Nonlinear String ◽  
Fokker Planck

The response to white noise excitation of a light elastic string loaded at equal intervals by a number of equal masses is examined using the theory of the Markov random process and the associated Fokker-Planck equation. Taking nonlinear effects due to variation in string tension into account, an exact solution of the Fokker-Planck equation is obtained and used in an approximate analytical evaluation of the mean squared response of the system.

Random Excitation of a Loaded Nonlinear String

1960 ◽  
Vol 27 (3) ◽  
pp. 575-578 ◽  
Author(s):  
T. K. Caughey
Keyword(s):  
Linear Problem ◽  
Random Excitation ◽  
Additional Stress ◽  
Elastic String ◽  
Equivalent Linear ◽  
The Mean ◽  
A Chain ◽  
Nonlinear String

This paper is devoted to the study of a chain of particles connected by a massless elastic string subjected to random excitation. It is shown that, as a result of the additional stress induced by the stretching of the string, the mean squared deflection of every particle is reduced compared with that for the equivalent linear problem.

Sign in / Sign up

Export Citation Format

Share Document