The Response of a Rectangular Thin Plate Subjected to In-Plane Narrow Band Noise Excitation

2015 ◽  
Vol 764-765 ◽  
pp. 379-382
Author(s):  
Gen Ge ◽  
Jing Xian Wei ◽  
Wen Di Zhang
Keyword(s):  
Floquet Theory ◽  
Narrow Band ◽  
Multiple Scale ◽  
Order Moment ◽  
Narrow Band Noise ◽  
Band Noise ◽  
Steady State Responses ◽  
The Moment ◽  
State Responses ◽  
Moment Stability

One stochastic dynamical model of a thin rectangular plate subject to in-plate parametrical narrow band noise excitation is proposed based on elastic theory and Galerkin’s approach. At first the model is simplified applying the multiple scale method and the averaged equation in Ito form is obtained. Secondly, the stochastic moment stability of the steady state responses are analyzed by Floquet theory and the moment method. Finally, the second order moment of the system is obtained, which can be used to estimate the variance of the responses. The numerical results agree with the theatrical analysis.

scholarly journals Response of a Shape Memory Alloy Beam Model under Narrow Band Noise Excitation

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Gen Ge
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Narrow Band ◽  
Multiple Scale ◽  
Nonlinear Damping ◽  
Beam Model ◽  
Narrow Band Noise ◽  
Band Noise ◽  
The Stability ◽  
The Moment

To describe the hysteretic nonlinear characteristic of the strain-stress relation of shape memory alloy (SMA), a Van-der-Pol hysteretic cycle is applied to simulate the hysteretic loops. Then, the model of a simply supported SMA beam subject to transverse narrow band noise excitation with nonlinear damping was proposed. The deterministic and the stochastic responses are studied, respectively, applying the multiple scale method. The stability of the steady state responses is analyzed by Floquet theory and the moment method. The numerical simulation results quite agree with the theoretical analysis.

Stability of SDOF Linear Viscoelastic System Under the Excitation of Narrow-Band Noise

2007 ◽  
Author(s):  
Qinghua Huang ◽  
Wei-Chau Xie
Keyword(s):  
Lyapunov Exponents ◽  
Eigenvalue Problems ◽  
Narrow Band ◽  
Compressive Load ◽  
Bounded Noise ◽  
Viscoelastic System ◽  
Narrow Band Noise ◽  
Band Noise ◽  
The Moment ◽  
Moment Lyapunov Exponents

The moment Lyapunov exponents of a single degree-of-freedom (SDOF) viscoelastic system under the excitation of a narrow-band noise, which is described as a bounded noise, is studied in this paper. An example of such a system is the transverse vibration of a viscoelastic column under the excitation of stochastic axial compressive load. The equation of motion is an integro-differential equation with parametric excitation. The method of stochastic averaging for integro-differential equations, both first-order and second-order, is applied and the eigenvalue problems governing the moment Lyapunov exponents are established. Numerical results from Monte Carlo simulation are compared with the approximate analytical results, and the variations of the moment Lyapunov exponents with the change of different parameters are discussed.

scholarly journals Target detection against narrow band noise backgrounds

1999 ◽  
Vol 39 (13) ◽  
pp. 2191-2203 ◽  
Author(s):  
Mark W. Cannon ◽  
Greg J. Reese ◽  
Steven C. Fullenkamp
Keyword(s):  
Target Detection ◽  
Narrow Band ◽  
Narrow Band Noise ◽  
Band Noise

Search for narrow-band-noise modulations of the infrared transmission of blue bronze

2002 ◽  
Vol 12 (9) ◽  
pp. 85-86
Author(s):  
R. C. Rai ◽  
V. A. Bondarenko ◽  
J. W. Brill
Keyword(s):  
Absorption Coefficient ◽  
Narrow Band ◽  
Diode Lasers ◽  
Infrared Transmission ◽  
Narrow Band Noise ◽  
Band Noise ◽  
Tunable Diode Lasers ◽  
Upper Limits ◽  
Blue Bronze

We have searched for narrow-band-noise (NBN) modulations of the infrared transmission in blue bronze, using tunable diode lasers. No modulations were observed, giving an upper limits for NBN changes in the absorption coefficient of $\Delta \alpha_{NBN} < 0.3 $ / cm ($\approx \alpha/2000$). The implication of these results on proposed CDW properties and NBN mechanisms are discussed.

Lateralization of Narrow-Band Noise by Blind and Sighted Listeners

Perception ◽  
10.1068/p3338 ◽  
2002 ◽  
Vol 31 (7) ◽  
pp. 855-873 ◽  
Author(s):  
Helen J Simon ◽  
Pierre L Divenyi ◽  
Al Lotze
Keyword(s):  
Narrow Band ◽  
Lateral Displacement ◽  
Spatial Hearing ◽  
Binaural Hearing ◽  
Center Frequency ◽  
Intensity Difference ◽  
Sensation Level ◽  
Individual Subject ◽  
Narrow Band Noise ◽  
Band Noise

The effects of varying interaural time delay (ITD) and interaural intensity difference (IID) were measured in normal-hearing sighted and congenitally blind subjects as a function of eleven frequencies and at sound pressure levels of 70 and 90 dB, and at a sensation level of 25 dB (sensation level refers to the pressure level of the sound above its threshold for the individual subject). Using an ‘acoustic’ pointing paradigm, the subject varied the IID of a 500 Hz narrow-band (100 Hz) noise (the ‘pointer’) to coincide with the apparent lateral position of a ‘target’ ITD stimulus. ITDs of 0, ±200, and ±400 μs were obtained through total waveform delays of narrow-band noise, including envelope and fine structure. For both groups, the results of this experiment confirm the traditional view of binaural hearing for like stimuli: non-zero ITDs produce little perceived lateral displacement away from 0 IID at frequencies above 1250 Hz. To the extent that greater magnitude of lateralization for a given ITD, presentation level, and center frequency can be equated with superior localization abilities, blind listeners appear at least comparable and even somewhat better than sighted subjects, especially when attending to signals in the periphery. The present findings suggest that blind listeners are fully able to utilize the cues for spatial hearing, and that vision is not a mandatory prerequisite for the calibration of human spatial hearing.

scholarly journals Stream segregation of narrow-band noise bursts

2001 ◽  
Vol 63 (5) ◽  
pp. 790-797 ◽  
Author(s):  
Albert S. Bregman ◽  
Pierre A. Ahad ◽  
Christina Van Loon
Keyword(s):  
Narrow Band ◽  
Stream Segregation ◽  
Narrow Band Noise ◽  
Band Noise
Sign in / Sign up

Export Citation Format

Share Document