Analytical method for thin-walled members of closed sections

1988 ◽  
Vol 6 (6) ◽  
pp. 419-432 ◽  
Author(s):  
K.K. Koo ◽  
Y.K. Cheung
Keyword(s):  
Analytical Method ◽  
Thin Walled

ANALYTICAL MODELING OF ACOUSTIC EMISSION SIGNALS IN THIN-WALLED OBJECTS

2020 ◽  
pp. 23-29
Author(s):  
V. A. Barat ◽  
D. A. Terentyev ◽  
V. V. Bardakov ◽  
S. V. Elizarov
Keyword(s):  
Acoustic Emission ◽  
Data Processing ◽  
Analytical Method ◽  
Analytical Modeling ◽  
Location Accuracy ◽  
Noise Background ◽  
Defect Location ◽  
Thin Walled ◽  
Ae Signals

For the effective detection of acoustic emission (AE) impulses against the noise background, the correct assessment of AE parameters and the increase in the defect location accuracy during data processing, it is necessary to consider the waveform of the AE impulse. The results of numerous studies have shown that the waveform of the AE impulse mainly depends on the properties of the waveguide – the path along which the signal propagates from the source to the sensor. In this paper, the effective analytical method for modeling of AE signals is considered, which allows to obtain model signals that have the shape of the envelope and spectrum as real one. Based on the obtained results, the attenuation parameters of AE waves for various characteristics of the waveguide and evaluate the probability of defects detecting at various distances between the AE source and sensor are evaluated. Based on the results obtained, the parameters of the AE impulse for various characteristics of the waveguide were estimated, and the parameters of the AE pulses and noise were compared.

scholarly journals Analytical Modeling of Acoustic Emission Signals in Thin-Walled Objects

2019 ◽  
Vol 10 (1) ◽  
pp. 279 ◽  
Author(s):  
Vera Barat ◽  
Denis Terentyev ◽  
Vladimir Bardakov ◽  
Sergey Elizarov
Keyword(s):  
Acoustic Emission ◽  
Data Processing ◽  
Defect Detection ◽  
Analytical Method ◽  
Analytical Modeling ◽  
Location Accuracy ◽  
Defect Location ◽  
Thin Walled ◽  
Noisy Background ◽  
Ae Signals

For the effective detection of acoustic emission (AE) impulses against a noisy background, the correct assessment of AE parameters, and an increase in defect location accuracy during data processing are needed. For these goals, it is necessary to consider the waveform of the AE impulse. The results of numerous studies have shown that the waveforms of AE impulses mainly depend on the properties of the waveguide, the path along which the signal propagates from the source to the sensor. In this paper, the analytical method for modeling of AE signals is considered. This model allows one to obtain model signals that have the same spectrum and waveform as real signals. Based on the obtained results, the attenuation parameters of the AE waves for various characteristics of the waveguide are obtained and the probability of defect detection at various distances between the AE source and sensor utilized for evaluation.

Developing a Strength Analytical Method of a Thin-Walled Steel SHS Beam by Combine Theory of Plastic Mechanisms and Non-Linear Elastic

2013 ◽  
Vol 746 ◽  
pp. 428-433
Author(s):  
Andi M. Kadir ◽  
Dedi Priadi ◽  
Eddy S. Siradj ◽  
Harkali Setiyono
Keyword(s):  
Analytical Method ◽  
Compressive Load ◽  
Bending Moment ◽  
Hollow Section ◽  
Linear Elastic ◽  
Non Linear ◽  
Thin Walled

The research objective is focused in developing a strength analytical method of a thin-walled steel square pipe (Square Hollow Section/SHS) affected by the interaction of concentrated-compressive load and bending moment. This strength analytical method is based on two different approaches, namely plastic mechanisms and elastic theories. This is called the method of cut-off strength. In this research, it has also been carried out to test the strength of the investigated beam under the interaction of concentrated-compressive load and bending moment. In order to essess the accuracy of the analytical method developed, estimate data of this method is also verified by comparing it to the actual one measured from experiments. The verification indicated that the estimated data, on average, deviates from the experimental one by 5 %.

Pure Bending of Curved Beams of Thin-Walled Rectangular Box Section

1991 ◽  
Vol 58 (1) ◽  
pp. 154-156 ◽  
Author(s):  
R. D. Cook
Keyword(s):  
Finite Element ◽  
Analytical Method ◽  
Circumferential Stress ◽  
Closed Form Solution ◽  
Form Solution ◽  
Finite Element Analyses ◽  
Curved Beams ◽  
Pure Bending ◽  
The Subject ◽  
Thin Walled

A closed-form solution of the subject problem is presented. The analytical method resembles that used by Bleich (1933) to study curved beams of I or T section. It is found that the circumferential stress may be smaller than a perpendicular stress that arises from flexing of parts of the box. Accuracy of the solution is verified by comparison with finite element analyses.

scholarly journals Features of derivation of formulas for calculation of nodal reactions and coefficients of matrix of rigidity of a finite element with averaged mechanical and geometrical parameters

2021 ◽  
pp. 97-108
Author(s):  
Yurii Maksymiuk ◽  
Andrii Kozak ◽  
Ivan Martyniuk ◽  
Oleksandr Maksymiuk
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Analytical Method ◽  
Geometric Parameters ◽  
Geometrical Parameters ◽  
Method Of Finite Elements ◽  
Thin Walled ◽  
Prismatic Bodies ◽  
Element Method

Currently, the most widely used finite element method for the calculation of spatial structures, significant progress in the development of which is associated with the work of domestic and foreign scientists. In Ukrainian publications the problems of theoretical substantiation of the finite element method and its connection with other methods are considered, concrete types of finite elements and their application to various problems of mechanics of a continuous environment are studied. Much attention is paid to the choice of the appropriate shape of the finite element, the type and degree of approximating functions, as well as the development of methods for deriving stiffness matrices. The study of prismatic bodies with constants along one of the coordinates of mechanical and geometric parameters is most appropriate to carry out on the basis of the semi-analytical method of finite elements. Its essence is a combination of finite element sampling and decomposition of displacements in the characteristic direction by a system of trigonometric coordinate functions. The analysis of the literature shows that the issues related to the application of the semi-analytical finite element method to the calculation of thin-walled prismatic bodies in elastic-plastic, and massive even in elastic formulations, have not been properly reflected. In addition, there are no publications in this area devoted to the development of universal prismatic finite elements that allow you to explore massive, thin-walled and combined structures. The direction of this study is to create on the basis of the semi-analytical method of finite elements of an effective apparatus for numerical analysis of the stress-strain state of massive and thin-walled arbitrarily loaded properties of the material and solve a number of new practically important problems. Therefore, in this work, based on the moment diagram of finite elements, formulas for calculating nodal reactions and stiffness matrix coefficients of a finite element with averaged mechanical and geometric parameters for the study of massive, thin-walled and combined structures are derived.

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