scholarly journals Commentary: The 1971 BOHS Hygiene Standard for Wide-band Noise

Keyword(s):  
2005 ◽  
pp. 397-403 ◽  
Author(s):  
Steven van de Par ◽  
Armin Kohlrausch ◽  
Jeroen Breebaart ◽  
Martin McKinney

Stochastics ◽  
1988 ◽  
Vol 23 (4) ◽  
pp. 413-437 ◽  
Author(s):  
A. E. Bashirov

2008 ◽  
Vol 130 (5) ◽  
Author(s):  
Y. J. Wu ◽  
W. Q. Zhu

Physical and engineering systems are often subjected to combined harmonic and random excitations. The random excitation is often modeled as Gaussian white noise for mathematical tractability. However, in practice, the random excitation is nonwhite. This paper investigates the stationary response probability density of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations. By using generalized harmonic functions, a new stochastic averaging procedure for estimating stationary response probability density of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations is developed. The damping can be linear and (or) nonlinear and the excitations can be external and (or) parametric. After stochastic averaging, the system state is represented by two-dimensional time-homogeneous diffusive Markov processes. The method of reduced Fokker–Planck–Kolmogorov equation is used to investigate the stationary response of the vibration system. A nonlinearly damped Duffing oscillator is taken as an example to show the application and validity of the method. In the case of primary external resonance, based on the stationary joint probability density of amplitude and phase difference, the stochastic jump of the Duffing oscillator and P-bifurcation as the system parameters change are examined for the first time. The agreement between the analytical results and those from Monte Carlo simulation of original system shows that the proposed procedure works quite well.


1966 ◽  
Vol 40 (5) ◽  
pp. 1203-1203
Author(s):  
Sylvia J. Steiner ◽  
Arnold M. Small
Keyword(s):  

1977 ◽  
Vol 62 (S1) ◽  
pp. S96-S96
Author(s):  
N. F. Viemeister ◽  
G. P. Widin

1961 ◽  
Vol 33 (11) ◽  
pp. 1675-1675
Author(s):  
J. N. Cole ◽  
H. L. Oestreicher ◽  
R. G. Powell ◽  
H. E. von Gierke
Keyword(s):  

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