Log in

Relevant bibliographies by topics / Euler critical load / Journal articles

To see the other types of publications on this topic, follow the link: Euler critical load.

Journal articles on the topic 'Euler critical load'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Euler critical load.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Eryılmaz, Aytekin, M. Tarık Atay, Safa B. Coşkun, and Musa Başbük. "Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method." Journal of Applied Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/341063.

Full text

Abstract:

Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral equations, and difference equations. In this study, we presented the application of HAM to the critical buckling loads for Euler columns with five different support cases continuous elastic restraints. The results are compared with the analytic solutions.

APA, Harvard, Vancouver, ISO, and other styles

2

Kardomateas, G. A. "Three-Dimensional Elasticity Solution for the Buckling of Transversely Isotropic Rods: The Euler Load Revisited." Journal of Applied Mechanics 62, no. 2 (1995): 346–55. http://dx.doi.org/10.1115/1.2895937.

Full text

Abstract:

The bifurcation of equilibrium of a compressed transversely isotropic bar is investigated by using a three-dimensional elasticity formulation. In this manner, an assessment of the thickness effects can be accurately performed. For isotropic rods of circular cross-section, the bifurcation value of the compressive force turns out to coincide with the Euler critical load for values of the length-over-radius ratio approximately greater than 15. The elasticity approach predicts always a lower (than the Euler value) critical load for isotropic bodies; the two examples of transversely isotropic bodie

APA, Harvard, Vancouver, ISO, and other styles

3

Arif, Hina, and Jaan Lellep. "Stability of nanobeams and nanoplates with defects." Acta et Commentationes Universitatis Tartuensis de Mathematica 25, no. 2 (2021): 221–38. http://dx.doi.org/10.12697/acutm.2021.25.15.

Full text

Abstract:

The sensitivity of critical buckling load and critical stress concerning different geometrical and physical parameters of Euler-Bernoulli nanobeams with defects is studied. Eringen’s nonlocal theory of elasticity is used for the determination of critical buckling load for stepped nanobeams subjected to axial loads for different support conditions. An analytical approach to study the impact of discontinuities and boundary conditions on the critical buckling load and critical stress of nanobeams has been developed. Critical buckling loads of stepped nanobeams are defined under the condition that

APA, Harvard, Vancouver, ISO, and other styles

4

Hasan, Nazmul. "Thermal buckling of ballasted tangent track." Advances in Mechanical Engineering 12, no. 10 (2020): 168781402096899. http://dx.doi.org/10.1177/1687814020968992.

Full text

Abstract:

Euler type analysis usually used for compression members in structural engineering does not work for railroad track. Euler type analytical formulas for horizontal and vertical buckling endorsed in a recent literature is reviewed to demonstrate its weakness. Using definition of moment and curvature as well as principle of equilibrium, the author suggests formula for horizontal buckling load of railroad track and demonstrates validation in context with currently accepted values, published results, and past field tests. The buckling load from suggested formula agrees with the recent buckling load

APA, Harvard, Vancouver, ISO, and other styles

5

Zhang, Yunlin, and Lingling Tian. "Predicting Fine Dead Fuel Load of Forest Floors Based on Image Euler Numbers." Forests 15, no. 4 (2024): 726. http://dx.doi.org/10.3390/f15040726.

Full text

Abstract:

The fine dead fuel load on forest floors is the most critical classification feature in fuel description systems, affecting several parameters in the manifestation of wildland fires. An accurate determination of this fine dead fuel load contributes substantially to effective wildland fire prevention, monitoring, and suppression. This study investigated the viability of incorporating image Euler numbers into predictive models of fine dead fuel load via the taking photos method. Pinus massoniana needles and Quercus fabri broad leaves—typical fuel types in karst areas—served as the research subje

APA, Harvard, Vancouver, ISO, and other styles

6

Huang, You-Qin, Han-Wen Lu, Ji-Yang Fu, Ai-Rong Liu, and Ming Gu. "Dynamic Stability of Euler Beams under Axial Unsteady Wind Force." Mathematical Problems in Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/434868.

Full text

Abstract:

Dynamic instability of beams in complex structures caused by unsteady wind load has occurred more frequently. However, studies on the parametric resonance of beams are generally limited to harmonic loads, while arbitrary dynamic load is rarely involved. The critical frequency equation for simply supported Euler beams with uniform section under arbitrary axial dynamic forces is firstly derived in this paper based on the Mathieu-Hill equation. Dynamic instability regions with high precision are then calculated by a presented eigenvalue method. Further, the dynamically unstable state of beams und

APA, Harvard, Vancouver, ISO, and other styles

7

Kafkas, Uğur, and Gökhan Güçlü. "Investigation of buckling behavior of carbon nanotube reinforced nanobeams according to nonlocal elasticity and elastic foundation effects." Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15, no. 1 (2025): 105–21. https://doi.org/10.17714/gumusfenbil.1568959.

Full text

Abstract:

In this study, the buckling behavior of carbon nanotube (CNT) reinforced nanobeams on an elastic foundation is investigated using the nonlocal elasticity theory and nonlocal finite element method within the framework of Euler-Bernoulli beam theory. The effects of CNT volume fraction, nonlocal parameter, elastic foundation parameter and length-to-thickness ratio on the critical buckling load are analyzed. CNT reinforced nanobeam is modeled considering short and long CNT reinforcements, and mechanical properties are determined by the rule of mixtures. To determine the critical buckling loads of

APA, Harvard, Vancouver, ISO, and other styles

8

Waddar, Sunil, P. Jeyaraj, and Mrityunjay Doddamani. "Influence of axial compressive loads on buckling and free vibration response of surface-modified fly ash cenosphere/epoxy syntactic foams." Journal of Composite Materials 52, no. 19 (2018): 2621–30. http://dx.doi.org/10.1177/0021998317751284.

Full text

Abstract:

This work deals with experimental buckling and free vibration behavior of silane-treated cenosphere/epoxy syntactic foams subjected to axial compression. Critical buckling loads are computed from compressive load–deflection plots deduced using universal testing machine. Further, compressive loads are applied in the fixed intervals until critical loading point on different set of samples having similar filler loadings to estimate natural frequency associated with the first three transverse bending modes. Increasing filler content increases critical buckling load and natural frequency of syntact

APA, Harvard, Vancouver, ISO, and other styles

9

Hashima, Wael A. "Geometric Characteristic of a Sewing Needle Applied in Clothing Manufacture Technology with Reference to Elastic Critical Statically Balance Loads – A Comparative Study." Fibres and Textiles in Eastern Europe 29, no. 3(147) (2021): 86–90. http://dx.doi.org/10.5604/01.3001.0014.7792.

Full text

Abstract:

In this work a sewing needle of an industrial commercial sewing machine is investigated from the different points of view of geometrical and critical elastic statistical balance. The dimensions of the sewing needle are = 60 mm, and = 2.5 mm and 1.45 mm diameter for the two stepped needle. The needle is treated as a fixed – free end column, with two sections: I0 (I1) = 1.9615 (E – 12) m4 and (I2) = 2.0516 (E – 13) m4. The upper partial length a = 31.2 mm, while the lower partial length b = 28.2 mm. The value of the critical load is 110 N, while the Euler load Pe = 1112 N, then γ = 3.1796. Anoth

APA, Harvard, Vancouver, ISO, and other styles

10

Jin, M., and HY Qi. "Initial post-buckling analysis of a fixed–fixed strut." Mathematics and Mechanics of Solids 24, no. 11 (2019): 3403–9. http://dx.doi.org/10.1177/1081286518825391.

Full text

Abstract:

In this paper, the initial post-buckling of a fixed–fixed strut in compression at the first bifurcation point is analyzed. Using the Fourier series of the lateral deflection, the second variation of the potential energy is proved, analytically, to be semi-positive definite when the compression is equal to the Euler critical load. The fourth variation of the potential energy is positive when the disturbance of the lateral deflection matches the buckling mode. Based on Koiter’s initial post-buckling theory, the equilibrium of the straight state of the strut is stable at the stability limit; when

APA, Harvard, Vancouver, ISO, and other styles

11

Ghorbanpourarani, A., M. Mohammadimehr, A. Arefmanesh, and A. Ghasemi. "Transverse vibration of short carbon nanotubes using cylindrical shell and beam models." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 3 (2009): 745–56. http://dx.doi.org/10.1243/09544062jmes1659.

Full text

Abstract:

The transverse vibrations of single- and double-walled carbon nanotubes are investigated under axial load by applying the Euler—Bernoulli and Timoshenko beam models and the Donnell shell model. It is concluded that the Euler—Bernoulli beam model and the Donnell shell model predictions have the lowest and highest accuracies, respectively. In order to predict the vibration behaviour of the carbon nanotube more accurately, the current classical models are modified using the non-local theory. The natural frequencies, amplitude coefficient, critical axial load, and strain are obtained for the simpl

APA, Harvard, Vancouver, ISO, and other styles

12

Elishakoff, Isaac, Florian Hache, and Noël Challamel. "Critical Comparison of Bresse–Timoshenko Beam Theories for Parametric Instability in the Presence of Pulsating Load." International Journal of Structural Stability and Dynamics 19, no. 02 (2019): 1950006. http://dx.doi.org/10.1142/s0219455419500068.

Full text

Abstract:

In this paper, we investigate parametric instability of Bresse–Timoshenko columns subjected to periodic pulsating compressive loads. The results are derived from three theories, namely the Bernoulli–Euler model for thin beams and two versions of the Bresse–Timoshenko model valid for thick beams: The truncated Bresse–Timoshenko model and the Bresse–Timoshenko model based on slope inertia. The truncated Bresse–Timoshenko model has been derived from asymptotic analysis, whereas the Bresse–Timoshenko model based on slope inertia is an alternative shear beam model supported by variational arguments

APA, Harvard, Vancouver, ISO, and other styles

13

Bader, Amjed M., Dhia A. Alazawi, Hussain J. M. Al-Alkawi, and Saad T. Faris. "Effect of shot peening on the critical buckling load of stainless steel 304 columns immersed in sea water." Curved and Layered Structures 9, no. 1 (2022): 442–50. http://dx.doi.org/10.1515/cls-2022-0181.

Full text

Abstract:

Abstract A machine part subjected to an axial compressive load is called strut. But, a vertical strut is known as a column. The machine members that must be investigated for the column action are connecting rods, piston rods, screw jack, etc. When a column is subjected to a compressive load and this load is gradually increased, a stage will be reached when the column will be subjected to ultimate load. Beyond this, the column will fail by crushing, and the load will be known as crushing load. When the column is short or intermediate, sometimes this column fails by bending, i.e. buckling. When

APA, Harvard, Vancouver, ISO, and other styles

14

Bashmal, Salem. "Determination of Critical and Cancellation Speeds of Euler–Bernoulli Beam Subject to a Continuously Moving Load." International Journal of Structural Stability and Dynamics 19, no. 03 (2019): 1950030. http://dx.doi.org/10.1142/s0219455419500305.

Full text

Abstract:

Treated herein is an elastic beam that is subjected to a constant load that travels continuously (back and forth) along its span. The dynamic deflection of the beam is investigated analytically so as to predict the critical and cancellation speeds. Closed-form solutions are obtained for the damped system for each load condition and superimposed to determine the total solution of the response. Unlike the classical case of load traveling at constant speed in one direction, multiple resonance peaks are observed for reciprocating load at speeds that are lower than the classical critical speed. It

APA, Harvard, Vancouver, ISO, and other styles

15

Khenyab, Ali Yousuf, Hussein Fadhil Ajaj, and Rawa Ahmed Helal. "Effect of Underground Corrosion on the Buckling of Al Alloy 6061-T4 Columns under Increasing Load." Al-Nahrain Journal for Engineering Sciences 21, no. 3 (2018): 417–27. http://dx.doi.org/10.29194/njes.21030416.

Full text

Abstract:

This research deals with the extent to which corrosion affects the behavior of buckling for 6061-T4 aluminum alloy under increasing compressive dynamic loads. Two types of columns, long, and intermediate were used.1% of the length column is the allowable lateral deflection. This is called the critical buckling of the columns. For the purpose of calculating the critical deflection, a digital dial gauge was used and set at a distance of 0.7 of column length from the fixed end condition for the column. The experimental analysis revealed that the corrosion time negatively affects the mechanical pr

APA, Harvard, Vancouver, ISO, and other styles

16

Zhang, Guan Jun, Xiang Zhu, Ran Xu, and Tian Yun Li. "Vibration Isolation Characteristics of Euler Strut Spring Used in Low Frequency Vibration Isolation System." Applied Mechanics and Materials 248 (December 2012): 475–80. http://dx.doi.org/10.4028/www.scientific.net/amm.248.475.

Full text

Abstract:

Recently, the Euler strut is used as the supporting spring in the low frequency isolation. An Euler spring is a column or strut of steel material which is compressed elastically beyond its buckling load, which makes the ratio of the isolated mass to the mass of the supporting spring maximum, and greatly increasing the internal resonant frequencies of the isolator. In this research, the unique mechanical properties and the expressions of the displacement transmissibility of the Euler strut are deduced. The influences of structural parameters of the strut on the stiffness and vibration isolation

APA, Harvard, Vancouver, ISO, and other styles

17

Zhuo, Shi Chuang, Qiang Zhang, and Shun Cai Li. "Experimental Study on Critical Load of Compression Column with a Rectangular Cross-Section Based on Material Mechanics." Advanced Materials Research 908 (March 2014): 287–90. http://dx.doi.org/10.4028/www.scientific.net/amr.908.287.

Full text

Abstract:

By means of resistance strain gauge and multifunctional test bench of materials mechanics, the relation curve between the axial compressive forces of the two-ends hinged column with a rectangular cross-section and total bridge strain was obtained by the resistance strain measurement method, accordingly, by the horizontal asymptote of this relation curve the critical load of compression column was obtained. The study indicates that the critical load obtained respectively by the resistance strain measurement method and Euler formula theory fits very well, and the research results verified the re

APA, Harvard, Vancouver, ISO, and other styles

18

Jiang, Jiu Hong, and Ruo Yan Zhu. "The Numerical Simulation of Exact Euler Load about Stability of Compressed Bar Based on Matlab." Advanced Materials Research 268-270 (July 2011): 2158–62. http://dx.doi.org/10.4028/www.scientific.net/amr.268-270.2158.

Full text

Abstract:

The relationship between the critical load and maxiumum deflection is established by applying numerical method to solve the curvature exact differential eqation of the buckled bar which fixed at base side and free at the upper side, the numerical values show that the critical load calculated through the approximate Eular formula is rather precise in a slight bent form. The numerical values give the stability stress and strength stress which can help to understand the stability calculation and strength calculation is completely difference.

APA, Harvard, Vancouver, ISO, and other styles

19

Parnaíba, Monaliza Araújo, and Patrício Luiz de Andrade. "Análise da estabilidade de colunas com variação da seção transversal e/ou módulo de elasticidade via Método das Diferenças Finitas." Revista Principia - Divulgação Científica e Tecnológica do IFPB 1, no. 46 (2019): 61. http://dx.doi.org/10.18265/1517-03062015v1n46p61-69.

Full text

Abstract:

The sizing of columns necessarily requires a buckling stability analysis. This is a serious phenomenon in slender structures that needs to be avoided, since the structure can collapse without previous warning. Structural components such as columns with varying cross sections and material changes along their length are common in buildings and bridges. Moreover, obtaining the critical column loads with this configuration is not contemplated in the Euler critical load expression. Therefore, it is important to develop a numerical tool for column analysis with cross section variation and elasticity

APA, Harvard, Vancouver, ISO, and other styles

20

Jasim AL Akawai, Hussain, Khalid Mershid Aweed, and Shawthab Ali Jaber. "Finite Element Method Analysis of Normal and Corrosion Buckling with ANSYS17 Program for Stainless Steel 304 Alloy." International Journal of Engineering & Technology 7, no. 4.7 (2018): 245. http://dx.doi.org/10.14419/ijet.v7i4.7.20557.

Full text

Abstract:

In the present research the effect of corrosion on buckling behavior of 304 stainless steel with increasing of compressive dynamic loads was studied. There are two types of the columns, long columns and intermediate columns were used. For compression test, there are 24 columns specimens were used in the dynamic axis, 12 columns tests were carried out with increasing in the dynamic axis of compressive load, while for the corrosion test was performed by using 12 specimens were buried for two months under the ground before tested them. The allowable deflection in lateral axis is 1% in the length

APA, Harvard, Vancouver, ISO, and other styles

21

Lim, Boon, Jou-Mei Chu, Jinling Gao, Benjamin Claus, Yizhou Nie, and Wayne Chen. "The Effect of Projectile Nose Shape on the Critical Velocity of High-Performance Yarn." Fibers 7, no. 4 (2019): 29. http://dx.doi.org/10.3390/fib7040029.

Full text

Abstract:

In this study, ballistic experiments were performed to determine the critical velocity of a Twaron® 2040 high-performance yarn transversely impacted by round projectiles. Four different round projectiles possessing a radius of curvature of 2 µm, 20 µm, 200 µm and 2 mm were used in this study. Load cells were mounted to the grips to measure the load history of the yarn upon impact. A high-speed camera was incorporated into the ballistic experimental setup to capture the failure process of the yarn upon impact. A scanning electron microscope was utilized to perform post-mortem failure analysis o

APA, Harvard, Vancouver, ISO, and other styles

22

Mohammadimehr, M., A. R. Saidi, A. Ghorbanpour Arani, A. Arefmanesh, and Q. Han. "Buckling analysis of double-walled carbon nanotubes embedded in an elastic medium under axial compression using non-local Timoshenko beam theory." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 2 (2011): 498–506. http://dx.doi.org/10.1177/2041298310392861.

Full text

Abstract:

Using the non-local elasticity theory, Timoshenko beam model is developed to study the elastic buckling of double-walled carbon nanotubes (DWCNTs) embedded in an elastic medium under axial compression. The non-local effects in the normal and transverse shear stress components are considered. The effects of the surrounding elastic medium based on a Winkler model and van der Waals' (vdW) force between the inner and outer nanotubes are taken into account. Considering the small-scale effects, the governing equilibrium equations are derived and the critical buckling loads under axial compression ar

APA, Harvard, Vancouver, ISO, and other styles

23

Khenyab, Ali Y., Hussein F. Ajaj, and Rawa A. Helal. "THE ELASTIC BUCKLING BEHAVIOR OF (5056-H18)ALALLOY COLUMNS UNDER VARIABLE LOAD." IRAQI JOURNAL FOR MECHANICAL AND MATERIALS ENGINEERING 19, no. 2 (2019): 183–92. http://dx.doi.org/10.32852/iqjfmme.v19i2.317.

Full text

Abstract:

The research deals the evaluation of buckling behavior for 5056-H18 Al alloy columnsunder variable loads and studies the effect of initial deflection on the critical buckling load.Seven samples were used for the purpose of testing the buckling of the column. The criticaldeflection of the column can be determined by measuring a length multiplied by 0.01 andthis is the critical load of the columns. For the purpose of measuring the critical deviation ofthe column, a digital dial gauge has been applied and it set at 0.7 distance from the length ofthe column from the fixed condition. The experiment

APA, Harvard, Vancouver, ISO, and other styles

24

LIU, YING, and G. LU. "DYNAMIC STABILITY OF A BEAM ON AN ELASTIC FOUNDATION INCLUDING STRESS WAVE EFFECTS." International Journal of Applied Mechanics 04, no. 02 (2012): 1250017. http://dx.doi.org/10.1142/s1758825112500172.

Full text

Abstract:

This paper examines the dynamic stability of an elastic beam on the elastic foundation, in which the stress wave effect is taken into account. Based on Euler–Bernoulli beam theory, the dynamic response of the elastic beam on the elastic foundation to a small transverse perturbation is analyzed. By considering the stress wave propagation in the beam and the constraint of the elastic foundation, the critical bifurcation condition of elastic beam is derived, and the critical axial load of the elastic beam is predicted. Furthermore, the effects of the elastic foundation and the beam length on buck

APA, Harvard, Vancouver, ISO, and other styles

25

Xi, Feng, Yu Zhang, and Yun Zhang. "Dynamic Buckling Equations and the Maximum Lower Limit Formula of an Elastic Column under Axial Loading." Advanced Materials Research 243-249 (May 2011): 209–13. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.209.

Full text

Abstract:

Dynamic flexural buckling equations in large deflection for an elastic column with the effects of axial inertia and rotary inertia are derived via the principle of minimum acceleration for continua at finite deformation. The maximum lower limit formula for critical dynamic buckling load is obtained by eigenvalue analysis for rudimental buckling equation. It is found that the expression is same as the static Euler limit.

APA, Harvard, Vancouver, ISO, and other styles

26

Hosking, Roger J., and Fausto Milinazzo. "Modelling the Floating Ladder Track Response to a Moving Load by an Infinite Bernoulli-Euler Beam on Periodic Flexible Supports." East Asian Journal on Applied Mathematics 2, no. 4 (2012): 285–308. http://dx.doi.org/10.4208/eajam.290712.261012a.

Full text

Abstract:

Abstract.An infinite Bernoulli-Euler beam (representing the “combined rail” consisting of the rail and longitudinal sleeper) mounted on periodic flexible point supports (representing the railpads) has already proven to be a suitable mathematical model for the floating ladder track (FLT), to define its natural vibrations and its forced response due to a moving load. Adopting deliberately conservative parameters for the existing FLT design, we present further results for the response to a steadily (uniformly) moving load when the periodic supports are assumed to be elastic, and then introduce th

APA, Harvard, Vancouver, ISO, and other styles

27

Wang, Dong-Hui, and Gang-Feng Wang. "Surface Effects on the Vibration and Buckling of Double-Nanobeam-Systems." Journal of Nanomaterials 2011 (2011): 1–7. http://dx.doi.org/10.1155/2011/518706.

Full text

Abstract:

Surface effects on the transverse vibration and axial buckling of double-nanobeam-system (DNBS) are examined based on a refined Euler-Bernoulli beam model. For three typical deformation modes of DNBS, we derive the natural frequency and critical axial load accounting for both surface elasticity and residual surface tension, respectively. It is found that surface effects get quite important when the cross-sectional size of beams shrinks to nanometers. No matter for vibration or axial buckling, surface effects are just the same in three deformation modes and usually enhance the natural frequency

APA, Harvard, Vancouver, ISO, and other styles

28

Jafari-Talookolaei, R. A., M. H. Kargarnovin, M. T. Ahmadian, and M. Abedi. "An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories." Journal of Applied Mathematics 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/842805.

Full text

Abstract:

The objective of this study is to present a brief survey on the geometrically nonlinear free vibrations of the Bernoulli-Euler, the Rayleigh, shear, and the Timoshenko beams with simple end conditions using the Homotopy Analysis Method (HAM). Expressions for the natural frequencies, the transverse deflection, postbuckling load-deflection relation to, and critical buckling load are presented. The results of nonlinear analysis are validated with the published results, and excellent agreement is observed. The effects of some parameters, such as slender ratio, the rotary inertia, and the shear def

APA, Harvard, Vancouver, ISO, and other styles

29

Yahya, Mazin Mahmood, Abdulwahab M. Al-Mushehdany, and Hussain Jasim M. Alalkawi. "Evaluation of Buckling of 2024-T3 under High Temperatures." International Journal of Heat and Technology 40, no. 4 (2022): 947–52. http://dx.doi.org/10.18280/ijht.400411.

Full text

Abstract:

The mechanical and buckling behavior of AA 2024 – T3 at high temperatures has been presented. The material was examined by thermal tensile test rig with 400℃ capacity. While buckling tests were carried out using a thermal rotating buckling test machine. Several observations were drawn from the experimental results, such as the mechanical and buckling properties are reduced by application of high temperatures. The experimental results of (UTS), (YS), (BHN) and (E) were decreased by 13.77%, 19.76%, 28.8% and 24.65% respectively due to application of 250c comparing to that at room temperature. Th

APA, Harvard, Vancouver, ISO, and other styles

30

Nazmul, I. M., and Indronil Devnath. "Closed-form expressions for bending and buckling of functionally graded nanobeams by the Laplace transform." International Journal of Computational Materials Science and Engineering 10, no. 02 (2021): 2150012. http://dx.doi.org/10.1142/s2047684121500123.

Full text

Abstract:

This paper presents analytical solutions for bending and buckling of nonlocal functionally graded (FG) Euler–Bernoulli (EB) nanobeams. Material gradation along the thickness direction could be defined by a power function (P-FG), a sigmoidal function (S-FG), and an exponential function (E-FG). Laplace transform is applied to the differential form of the equation of motion of the nonlocal elasticity theory. Closed-form expressions for bending deflection and critical buckling load of FG nanobeams are derived. Effects of material gradations as well as the nonlocal parameter are examined. It is fou

APA, Harvard, Vancouver, ISO, and other styles

31

Koziol, Piotr, and Cristinel Mares. "Wavelet Approach for Vibration Analysis of Fast Moving Load on a Viscoelastic Medium." Shock and Vibration 17, no. 4-5 (2010): 461–72. http://dx.doi.org/10.1155/2010/278538.

Full text

Abstract:

This paper analyses theoretically the response of a solid for fast moving trains using models related to real situations: a load moving in a tunnel and a load moving on a surface. The mathematical model is described by Navier's elastodynamic equation of motion for the soil and Euler-Bernoulli equation for the beam with appropriate boundary conditions. Two modelling approaches are investigated: the model with half space under the beam and the model with finite thickness of supporting medium. The problem of singularities for displacements calculation is discussed in relation with boundary condit

APA, Harvard, Vancouver, ISO, and other styles

32

Grebenyuk, G. I., V. I. Maksak, and E. V. Yankov. "STIFFNESS ANALYSIS AND OPTIMIZATION OF STEPPED COLUMNS UNDER COMBINED BENDING AND COMPRESSION." Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture 22, no. 5 (2020): 111–21. http://dx.doi.org/10.31675/1607-1859-2020-22-5-111-121.

Full text

Abstract:

The paper presents the stiffness analysis and optimization of stepped columns constituting the core frame of the industrial building. The two-span cross section of a one- storey industrial building is investigated herein. The quasi-static calculation is performed using the limited load approximation method for the cross-section of the most loaded middle column. The critical Euler characteristic of the compressive longitudinal load is determined by the differential bending equations at the bifurcation instability in the column sections. The parameter optimization of the column cross-section is

APA, Harvard, Vancouver, ISO, and other styles

33

Jena, Subrat Kumar, Snehashish Chakraverty, and Francesco Tornabene. "Buckling Behavior of Nanobeams Placed in Electromagnetic Field Using Shifted Chebyshev Polynomials-Based Rayleigh-Ritz Method." Nanomaterials 9, no. 9 (2019): 1326. http://dx.doi.org/10.3390/nano9091326.

Full text

Abstract:

In the present investigation, the buckling behavior of Euler–Bernoulli nanobeam, which is placed in an electro-magnetic field, is investigated in the framework of Eringen’s nonlocal theory. Critical buckling load for all the classical boundary conditions such as “Pined–Pined (P-P), Clamped–Pined (C-P), Clamped–Clamped (C-C), and Clamped-Free (C-F)” are obtained using shifted Chebyshev polynomials-based Rayleigh-Ritz method. The main advantage of the shifted Chebyshev polynomials is that it does not make the system ill-conditioning with the higher number of terms in the approximation due to the

APA, Harvard, Vancouver, ISO, and other styles

34

Szyszkowski, W., and P. G. Glockner. "On the Static Stability Analysis of Viscoelastic Perfect Columns." Transactions of the Canadian Society for Mechanical Engineering 9, no. 3 (1985): 157–64. http://dx.doi.org/10.1139/tcsme-1985-0023.

Full text

Abstract:

In this article the direct static equilibrium approach for stability analysis is used to study the behaviour of a perfect column made of a linear three-element model material and subjected to a concentric load. The study confirms that such a traditional static analysis admits only one non-zero eigenvalue, namely the load a the instant of application, referred to as the Euler load, PE, for the corresponding elastic column. A new interpretation of adjacent equilibrium configurations for viscoelastic structures is introduced which permits an ‘exact’ static analysis of the problem. The results fro

APA, Harvard, Vancouver, ISO, and other styles

35

Baraldi, Daniele. "A Mixed FEM for Studying Jointed Concrete Pavement Blowups." Infrastructures 10, no. 4 (2025): 86. https://doi.org/10.3390/infrastructures10040086.

Full text

Abstract:

This work aims to study the compressive buckling and consequent blowup of jointed concrete pavements due to thermal rise. For this purpose, a simple and effective mixed FEM, originally introduced for performing static and buckling analyses of beams on elastic supports, is extended for performing a preliminary study of jointed concrete pavements. An elastic Euler–Bernoulli beam in frictionless and bilateral contact with an elastic support is considered. Three different elastic support models are assumed, namely a Winkler support, an elastic half-space (3D), and half-plane (2D). The transversal

APA, Harvard, Vancouver, ISO, and other styles

36

Torki, Mohammad Ebrahim, and Junuthula N. Reddy. "Buckling of Functionally-Graded Beams with Partially Delaminated Piezoelectric Layers." International Journal of Structural Stability and Dynamics 16, no. 03 (2016): 1450104. http://dx.doi.org/10.1142/s0219455414501041.

Full text

Abstract:

The critical buckling load of a functionally-graded simply-supported beam with partially delaminated piezoelectric layers is discussed. The governing equations of motion are derived using two different, i.e. Euler–Bernoulli and Timoshenko beam theories, and the buckling load was evaluated from the exact solution to the corresponding eigenvalue equation. The equations were simplified to some extent by shifting the coordinate origin such that there is zero bending-extension coupling. Effects induced by the delaminated length, asymmetry, piezoelectric thickness, voltage, and the functionally grad

APA, Harvard, Vancouver, ISO, and other styles

37

Hu, Jianying, Yu Zhou, and Zishun Liu. "The Friction Effect on Buckling Behavior of Cellular Structures Under Axial Load." International Journal of Applied Mechanics 10, no. 02 (2018): 1850013. http://dx.doi.org/10.1142/s1758825118500138.

Full text

Abstract:

When soft cellular structures are compressed axially beyond critical limits, elastic instabilities induce buckling behavior. Although the nonlinear response of periodic materials with different shape voids has been widely investigated, the effect of the friction on the structural response has not yet been explored. In this paper, we develop a simple theoretical model for the buckling of holey column with holes. Meanwhile, we also numerically and experimentally explore the effect of friction on the buckling behavior of the cellular structures. We find out that friction could prevent conventiona

APA, Harvard, Vancouver, ISO, and other styles

38

Marcinowski, Jakub, and Mirosław Sadowski. "Application of the Southwell Method to Determine the Critical Load of Compression Rods Made of Nonlinear Materials." Civil and Environmental Engineering Reports 34, no. 4 (2024): 168–84. http://dx.doi.org/10.59440/ceer/194260.

Full text

Abstract:

Experimental determination of the critical force of a compression bar made of linear material does not pose major problems. The widely used Southwell method is also applicable to bars with cross-sections varying in length. The purpose of the research undertaken was to demonstrate that this method can also be successfully applied to bars made of elastic materials exhibiting nonlinear σ(ε) characteristics. Using analytical relationships for a rod satisfying the assumptions of Euler-Bernoulli theory, F(δ) relationships were derived for a rod with an initial arc imperfection, and Southwell diagram

APA, Harvard, Vancouver, ISO, and other styles

39

Du, Liang, Peng Lan, and Nian Li Lu. "Accurate Calculation about Euler Critical Force of Multistep Telescopic Cylinder with Two Different Kinds Support Conditions." Applied Mechanics and Materials 345 (August 2013): 58–63. http://dx.doi.org/10.4028/www.scientific.net/amm.345.58.

Full text

Abstract:

Variable cross-section telescopic cylinder is the frenquently-used member being loaded, which the buckling critical force is variable as the boundary and load condition changed. According to two common boundary supprot conditions, this paper established the deflection differential equations of arbitrary multistep telescopic boom by vertical and horizontal bending theory with second-order effect, introduced the boundary condition and deformation compatibility condition, obtained the recurrence expression of buckling characteristic equations, and some practical applications were presented. Took

APA, Harvard, Vancouver, ISO, and other styles

40

Yazyev, S. B., and A. S. Chepurnenko. "Buckling of Rectangular Plates under Nonlinear Creep." Advanced Engineering Research (Rostov-on-Don) 23, no. 3 (2023): 257–68. http://dx.doi.org/10.23947/2687-1653-2023-23-3-257-268.

Full text

Abstract:

Introduction. The task of analyzing the stability of plates and shells under creep conditions is critical for structural elements made of materials with the property of aging, which are under the action of long-term loads, since the loss of stability can occur abruptly and long before the exhaustion of the strength resource of the material. Currently, the issues of joint consideration of geometric nonlinearity and creep in the problems of buckling plates remain poorly studied, existing software systems do not provide such calculations. The objective of this work is to develop an algorithm for

APA, Harvard, Vancouver, ISO, and other styles

41

Anwar, N., A. H. Hanif, H. F. Khan, and M. F. Ullah. "Transient Stability Analysis of the IEEE-9 Bus System under Multiple Contingencies." Engineering, Technology & Applied Science Research 10, no. 4 (2020): 5925–32. http://dx.doi.org/10.48084/etasr.3273.

Full text

Abstract:

The determination of the transient stability of an electric power system is a crucial step in power system analysis. This paper investigates the transient stability of an IEEE-9 bus system consisting of three generators and nine buses. At first, a load flow analysis is conducted in order to determine the pre-fault conditions. Secondly, fault analysis is performed to analyze post fault conditions like the fast fault clearing time and load switching in order to determine the system stability. For transient stability analysis, Euler and Runga methods are compared and applied on the frequency and

APA, Harvard, Vancouver, ISO, and other styles

42

Anwar, N., A. H. Hanif, H. F. Khan, and M. F. Ullah. "Transient Stability Analysis of the IEEE-9 Bus System under Multiple Contingencies." Engineering, Technology & Applied Science Research 10, no. 4 (2020): 5925–32. https://doi.org/10.5281/zenodo.4016146.

Full text

Abstract:

The determination of the transient stability of an electric power system is a crucial step in power system analysis. This paper investigates the transient stability of an IEEE-9 bus system consisting of three generators and nine buses. At first, a load flow analysis is conducted in order to determine the prefault conditions. Secondly, fault analysis is performed to analyze post fault conditions like the fast fault clearing time and load switching in order to determine the system stability. For transient stability analysis, Euler and Runga methods are compared and applied on the frequency and r

APA, Harvard, Vancouver, ISO, and other styles

43

Abbaszadeh Bidokhti, Ali, Amir Reza Shahani, and Mohammad Reza Amini Fasakhodi. "Displacement-controlled crack growth in double cantilever beam specimen: A comparative study of different models." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 15 (2016): 2835–47. http://dx.doi.org/10.1177/0954406216642474.

Full text

Abstract:

This paper presents, discusses, and compares different techniques to model fracture initiation and static crack growth in double cantilever beam specimen under displacement-controlled loading. Energy release rate, critical displacement for the onset of crack growth, and critical load were determined by analytical solution, standard, and extended finite element method. The crack growth was also examined, and the advantages of each method were described as well. In addition, the compliance technique was used in the analytical method. In this regard, the crack growth relations were formulated bas

APA, Harvard, Vancouver, ISO, and other styles

44

Müller, Ulrich, Wolfgang Gindl, and Alfred Teischinger. "EFFECTS OF CELL ANATOMY ON THE PLASTIC AND ELASTIC BEHAVIOUR OF DIFFERENT WOOD SPECIES LOADED PERPENDICULAR TO GRAIN." IAWA Journal 24, no. 2 (2003): 117–28. http://dx.doi.org/10.1163/22941932-90000325.

Full text

Abstract:

In radial compression, the shape of the stress-deformation curve varies for different wood species, particularly at the transition from elastic to plastic deformation and along the stress plateau. Due to differences in anatomy and cell wall microstructure, different responses to perpendicular loads were observed in spruce (ductile plastic deformation), oak (brittle failure), and beech (elastomeric yielding). Beginning plastic deformation was examined by SEM after the application of different compression levels and by dynamic observations during the loading process of small samples under a ligh

APA, Harvard, Vancouver, ISO, and other styles

45

Arda, Mustafa, and Metin Aydogdu. "Dynamic stability of harmonically excited nanobeams including axial inertia." Journal of Vibration and Control 25, no. 4 (2018): 820–33. http://dx.doi.org/10.1177/1077546318802430.

Full text

Abstract:

This article is concerned with the dynamic stability problem of a nanobeam under a time-varying axial loading. The nonlocal Euler–Bernoulli beam model has been used for the continuum modeling of the nanobeam structure. This problem leads to a time-dependent Mathieu-Hill equation and has been solved by using the Lindstedt–Poincaré perturbation expansion method. The effect of a small-scale parameter on the dynamic displacement and critical dynamic buckling load of nanobeams has been investigated. Stability regions have been obtained from the local and nonlocal elasticity theories. The effect of

APA, Harvard, Vancouver, ISO, and other styles

46

Kulterbaev, H. P., and M. M. Payzulaev. "Stability of a compressed-tensioned rod of variable cross-section with combined loading." Herald of Dagestan State Technical University. Technical Sciences 50, no. 4 (2024): 191–96. http://dx.doi.org/10.21822/2073-6185-2023-50-4-191-196.

Full text

Abstract:

Objective. The purpose of the study is to determine the stability of a straight rod of variable cross-section under combined axial loading. Method. The longitudinal bending of the rod is described by the classical theory using Bernoulli’s hypothesis, and the critical forces are determined from the Euler problem with appropriate assumptions. Result. An algorithm for a numerical method for solving the problem of determining the eigenvalues of the differential equation for longitudinal bending of a rod is proposed. External loads are considered “dead”. The functions of changing the variable cross

APA, Harvard, Vancouver, ISO, and other styles

47

Zhang, Xudong, Hao Tang, Hao Yan, and Qiang Chen. "Broadband Dynamic Sensitivity Analysis of a Euler–Bernoulli Beam Under Thermal Load Using the Efficient Wave-Based Method." Aerospace 12, no. 6 (2025): 475. https://doi.org/10.3390/aerospace12060475.

Full text

Abstract:

Beam-type structures used in aerospace applications may experience simultaneous broadband dynamic excitation and thermal loads. Design sensitivity, as a powerful tool for structural optimization and reliability analysis, is investigated in this work. The broadband dynamic response and its sensitivity to input parameters for a Euler–Bernoulli beam in a thermal environment are examined using an efficient wave-based method (WBM). First, the accuracy of the simulation for predicting the broadband dynamic response is validated. Then, the influence of thermal effects on the dynamic response is inves

APA, Harvard, Vancouver, ISO, and other styles

48

Zheng, Yao, and Hong Zheng. "Steel Rod Stability and Inelastic Buckling Study." Applied Mechanics and Materials 357-360 (August 2013): 626–30. http://dx.doi.org/10.4028/www.scientific.net/amm.357-360.626.

Full text

Abstract:

Research on stability problem, has put forward the famous bar under axial pressure formula from the middle of the eighteenth Century Euler critical force, more than 200 years, the elastic range but recognize that Euler's formula is only suitable for the material, but it took more than a hundred years. Study on the inelastic critical load of column, double modulus theory and the tangent modulus theory. These theories are starting from the ideal straight rod, and practical bar called " defects exist various accidental eccentricity " ( such as physical and geometrical aspects of the initial defle

APA, Harvard, Vancouver, ISO, and other styles

49

Zotov, I. M., A. S. Chepurnenko, and S. B. Yazyev. "CALCULATION OF THE FLAT BENDING SHAPE STABILITY OF RECTANGULAR CROSS SECTION BEAMS WITH REGARD TO CREEP." Herald of Dagestan State Technical University. Technical Sciences 46, no. 1 (2019): 169–76. http://dx.doi.org/10.21822/2073-6185-2019-46-1-169-176.

Full text

Abstract:

Objectives. The article presents the conclusion of the resolving equation for calculating the stability of the flat form of deformation of prismatic beams, taking into account the rheological properties of the material.Method. The problem is reduced to a second-order differential equation for the twist angle, which is solved numerically by the finite difference method in combination with the Euler method.Result. The obtained differential equation allows one to take into account the presence of initial imperfections in the form of the initial deflection of the beam, the initial angle of twist,

APA, Harvard, Vancouver, ISO, and other styles

50

Aranha, J. A. P., and M. O. Pinto. "Bifurcation of Static Equilibrium of a Semisubmersible in Waves." Journal of Ship Research 38, no. 01 (1994): 62–70. http://dx.doi.org/10.5957/jsr.1994.38.1.62.

Full text

Abstract:

This paper reviews the phenomenon of the steady tilt of a semisubmersible from the point of view of the theory of bifurcation. The problem is similar to that of the buckling of an elastic structure, with the wave amplitude playing the role of the critical load. Depending on the wavenumber, the bifurcation can be "subtle," as in the case of a Euler beam, or "catastrophic," as in the case of shells and arches. Experimental results on a simplified submerged structure show very good agreement with the theoretical prediction from the viewpoint of second-order wave theory.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!