On the Solvability of Trigonometric Moment Problems Arising in the Problem of Controllability of Rotating Beams

2001 ◽  
pp. 145-156 ◽  
Author(s):  
V. I. Korobov ◽  
W. Krabs ◽  
G. M. Sklyar
Keyword(s):  
Moment Problems ◽  
Rotating Beams

Dynamic model for free vibration and response analysis of rotating beams

2013 ◽  
Vol 332 (22) ◽  
pp. 5917-5928 ◽  
Author(s):  
Hyungrae Kim ◽  
Hong Hee Yoo ◽  
Jintai Chung
Keyword(s):  
Free Vibration ◽  
Dynamic Model ◽  
Response Analysis ◽  
Rotating Beams

scholarly journals A uniform approximation theorem and its application to moment problems

1964 ◽  
Vol 84 (2) ◽  
pp. 143-153 ◽  
Author(s):  
A. Jakimovski ◽  
M. S. Ramanujan
Keyword(s):  
Uniform Approximation ◽  
Approximation Theorem ◽  
Moment Problems

scholarly journals A multi-level algorithm for the solution of moment problems

1998 ◽  
Vol 19 (3-4) ◽  
pp. 353-375 ◽  
Author(s):  
Otmar Scherzer ◽  
Thomas Strohmer
Keyword(s):  
Moment Problems ◽  
Multi Level

On the moment problems

1997 ◽  
Vol 35 (1) ◽  
pp. 85-90 ◽  
Author(s):  
Gwo Dong Lin
Keyword(s):  
Moment Problems ◽  
The Moment

scholarly journals On the analytic form of the discrete Kramer sampling theorem

2001 ◽  
Vol 25 (11) ◽  
pp. 709-715 ◽  
Author(s):  
Antonio G. García ◽  
Miguel A. Hernández-Medina ◽  
María J. Muñoz-Bouzo
Keyword(s):  
Orthogonal Polynomials ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Analytic Form ◽  
Sampling Theorem ◽  
Discrete Version ◽  
Moment Problems ◽  
Sturm Liouville ◽  
The Subject ◽  
Sampling Expansions

The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems. In this paper a discrete version of the analytic Kramer sampling theorem is proved. Orthogonal polynomials arising from indeterminate Hamburger moment problems as well as polynomials of the second kind associated with them provide examples of Kramer analytic kernels.

Matrix moment problems with constraints

PAMM ◽  
2002 ◽  
Vol 1 (1) ◽  
pp. 420 ◽  
Author(s):  
V.M. Adamyan ◽  
I.M. Tkachenko
Keyword(s):  
Moment Problems ◽  
Matrix Moment

Hybrid Control of Rotating Beams Using Pattern Search Based Optimization Technique

2018 ◽  
Author(s):  
Rajiv Kumar Vashisht ◽  
Qingjin Peng
Keyword(s):  
Smart Materials ◽  
Optimization Technique ◽  
Flexible Structures ◽  
Pattern Search ◽  
Feedback Controller ◽  
Structural Vibration ◽  
Flexible Beam ◽  
Constrained Layer Damping ◽  
Rotating Beams ◽  
Passive Constrained Layer Damping

Rotating beams are quite common in rotating machinery e.g. fans of compressors in an airplane. This paper presents the experimental, hybrid, structural vibration control of flexible structures to enhance the vibration behavior of rotating beams. Smart materials have been used as sensors as well as actuators. Passive constrained layer damping (PCLD) treatment is combined with stressed layer damping technique to enhance the damping characteristics of the flexible beam. To further enhance the damping parameters, a closed form robust feedback controller is applied to reduce the broadband structural vibrations of the rotating beam. The feed forward controller is designed by combing with the feedback controller using a pattern search based optimization technique. The hybrid controller enhances the performance of the closed loop system. Experiments have been conducted to validate the effectiveness of the presented technique.

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