Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 3. Analytical and numerical determination of natural frequencies of longitudinal and bending vibrations of beams with transverse cracks. Solution

1999 ◽  
Vol 31 (4) ◽  
pp. 341-350 ◽  
Author(s):  
V. V. Matveev ◽  
A. P. Bovsunovskii
Keyword(s):  
Fatigue Damage ◽  
Natural Frequencies ◽  
Structural Elements ◽  
Numerical Determination ◽  
Transverse Cracks ◽  
Bending Vibrations

Numerical Determination of Natural Frequencies and Modes of the Vibrations of a Thick-Walled Cylindrical Shell

2018 ◽  
Vol 54 (1) ◽  
pp. 75-84 ◽  
Author(s):  
A. Ya. Grigorenko ◽  
M. Yu. Borisenko ◽  
E. V. Boichuk ◽  
A. P. Prigoda
Keyword(s):  
Cylindrical Shell ◽  
Natural Frequencies ◽  
Numerical Determination ◽  
Natural Frequencies And Modes

Determination of the bed coefficient by the natural frequencies of the beam vibrations

2014 ◽  
Vol 10 ◽  
pp. 13-15
Author(s):  
A.A. Aitbaeva
Keyword(s):  
Mechanical System ◽  
Natural Frequencies ◽  
Elastic Base ◽  
Bernoulli Beam ◽  
Bending Vibrations ◽  
Euler Bernoulli Beam

In this paper we consider a mechanical system, which is a finite Euler–Bernoulli beam, which lies on a continuum elastic base. By the natural frequencies of its bending vibrations, a solution is obtained for finding the bed coefficient characterizing the rigidity of the base.

Determination of the Natural Frequencies of the Bending Vibrations of Beams

1947 ◽  
Vol 14 (1) ◽  
pp. A1-A6
Author(s):  
A. I. Bellin
Keyword(s):  
Cross Section ◽  
Natural Frequencies ◽  
Moment Equation ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Bending Vibrations ◽  
Elastic Beams ◽  
Lateral Vibrations

Abstract This paper presents a method for determining the natural frequencies of lateral vibrations for elastic beams. The beams may be of variable cross section and may have any number of spans. The five-moment equation is developed and is then applied to beams supported in various ways. The author reduces the necessary calculations to a simple tabular scheme. Several illustrative examples are included to demonstrate the method of computation.

scholarly journals Dynamics of disordered heterogeneous chains of phase oscillators

2019 ◽  
pp. 215-221 ◽  
Author(s):  
Maxim Bolotov ◽  
Tatiana Levanova ◽  
Lev Smirnov ◽  
Arkady Pikovsky
Keyword(s):  
Phase Shift ◽  
Natural Frequencies ◽  
Threshold Value ◽  
Analytical Investigation ◽  
Numerical Determination ◽  
Phase Oscillators ◽  
Existence And Stability ◽  
Local Coupling

We study the problem of robustness of synchronous states to disorder in the chain of phase oscillators with local coupling. The study combines a numerical determination of the existence and stability of synchronous states with an analytical investigation of the role of the phase shift and the level of disorder in the natural frequencies in the destruction of synchrony. We show that the presence of the phase shift facilitates robustness of the synchronous regime, at least up to its certain threshold value.

Numerical determination of minimum mass structures with specified natural frequencies

1978 ◽  
Vol 13 (2) ◽  
pp. 265-282 ◽  
Author(s):  
A. Miele ◽  
A. Mangiavacchi ◽  
B. P. Mohanty ◽  
A. K. Wu
Keyword(s):  
Natural Frequencies ◽  
Minimum Mass ◽  
Numerical Determination
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