scholarly journals Large gaps between random eigenvalues

2010 ◽  
Vol 38 (3) ◽  
pp. 1263-1279 ◽  
Author(s):  
Benedek Valkó ◽  
Bálint Virág
Keyword(s):  
2014 ◽  
Vol 644-650 ◽  
pp. 53-57
Author(s):  
Jin Gang Liu ◽  
Shi Peng Wang ◽  
Zhong Jun Zhang ◽  
Da Wei Jin ◽  
Feng Xiao Huang ◽  
...  

Using the convex model theory, the reliability-based analysis of frequency of the vibration control problem of structures with Interval parameters is discussed. Based on the theory of perturbation method, reliability analysis, and PNET method, the method of reliability-based analysis of eigenvalues of closed-loop vibration control systems with uncertain parameters is studied. And the distribution function of the random eigenvalues will not be computed other than their means and variances. The standard deviations of eigenvalues of the uncertain closed-loop systems can be used to estimate the reliability of frequency. The numerical results show that the present method is effective.


2014 ◽  
Vol 8 (2) ◽  
pp. 505-516 ◽  
Author(s):  
Ahmed Mahmoud ◽  
Alexander Chefranov

1987 ◽  
Vol 40 (3) ◽  
pp. 309-328 ◽  
Author(s):  
R. A. Ibrahim

The treatment of structural parameters as random variables has been the subject of structural dynamicists and designers for many years. Several problems have been involved during the last few decades and resulted in new theorems and interesting phenomena. This paper reviews a number of topics pertaining to structural dynamics with parameter uncertainties. These include direct problems such as random eigenvalues and random responses of discrete and continuous systems. The impact of these problems on related areas of interest such as sensitivity of structural performance to parameter variations, design optimization, and reliability analysis is also addressed. The paper includes the results of experimental investigations, the phenomenon of normal modes localization, and the effect of mistuning of turbomachinery blades on their flutter and forced response characteristics.


AIAA Journal ◽  
2006 ◽  
Vol 44 (10) ◽  
pp. 2404-2414 ◽  
Author(s):  
T. Wagenknecht ◽  
K. Green ◽  
S. Adhikari ◽  
W. Michiels

2021 ◽  
Vol 12 ◽  
Author(s):  
Soyoung Yoo ◽  
Jihoon Lee ◽  
Gawon Ju ◽  
Sangha Lee ◽  
Sooyeon Suh ◽  
...  

This study aimed to validate the schoolteachers' version of the Stress and Anxiety to Viral Epidemics-9 (SAVE-9) scale. This scale assessed the work-related stress and anxiety response of schoolteachers to the COVID-19 pandemic. A total of 400 schoolteachers participated in an online survey between March 4 and 15, 2021. The survey questionnaire included the schoolteachers' version of the SAVE-9, Patient Health Questionnaire-9 (PHQ-9), and Generalized Anxiety Disorders-7 (GAD-7) scales. A scree test and parallel analysis suggested a single-factor structure model for the schoolteachers' version of the SAVE-9 scale (real-data eigenvalue = 68.89, 95th percentile of the random eigenvalues = 27.56). The SAVE-9 scale showed good internal consistency (Cronbach's alpha = 0.853) and good convergent validity with GAD-7 (rho = 0.545, p < 0.001) and PHQ-9 (rho = 0.434, p < 0.001) scale scores. This, schoolteachers' version of the SAVE-9 scale is a reliable and valid rating scale that can be applied to teachers in a pandemic situation.


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