Relevant bibliographies by topics / Euler critical load

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Euler critical load'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Euler critical load"

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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.

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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.
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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.

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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
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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.

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

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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
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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.

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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
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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.

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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
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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.

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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
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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.

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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
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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.

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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
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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.

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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
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Dissertations / Theses on the topic "Euler critical load"

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Giardina, Ronald Joseph Jr. "General Nonlinear-Material Elasticity in Classical One-Dimensional Solid Mechanics." ScholarWorks@UNO, 2019. https://scholarworks.uno.edu/td/2666.

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We will create a class of generalized ellipses and explore their ability to define a distance on a space and generate continuous, periodic functions. Connections between these continuous, periodic functions and the generalizations of trigonometric functions known in the literature shall be established along with connections between these generalized ellipses and some spectrahedral projections onto the plane, more specifically the well-known multifocal ellipses. The superellipse, or Lam\'{e} curve, will be a special case of the generalized ellipse. Applications of these generalized ellipses sha
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Book chapters on the topic "Euler critical load"

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Gee Anthony F. and Mtenga Primus V. "A different approach to the design of steel columns." In Construction Materials and Structures. IOS Press, 2014. https://doi.org/10.3233/978-1-61499-466-4-1125.

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The Paper describes a method of obtaining the entire non-linear elastic behavior of prismatic columns having an initial out-of-straightness and a variety of end restraints and loading conditions. It is shown that columns do not in fact ‘buckle’ due to instability but rather fail under the combined effects of axial load and bending. For over 250 years eminent researchers have attempted to reconcile empirical data with the Euler critical axial stress. Failure loads were consistent with this stress, although at a slightly lower level attributable to initial imperfections, up t
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Conference papers on the topic "Euler critical load"

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Krupka, R. M. "Column Bending Induced by Applied Loads in Excess of the Euler Critical Load." In Aerospace Technology Conference and Exposition. SAE International, 1985. http://dx.doi.org/10.4271/851983.

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Cumming, Gary, and Andrew Rathbone. "Euler Buckling of Idealised Horizontal Pipeline Imperfections." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20262.

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Imperfections introduced by pipelay can not be known until installation is complete; therefore a common approach is to perform finite element analysis of idealised horizontal imperfections to determine critical buckling forces. Rundsag et al 2008 [1], showed that the critical buckling force for a snake lay geometry is directly proportional to the pipeline bend radius. Rathbone et al 2008 [2] showed that, with decreasing arch lengths, the pipeline critical buckling force is proportional to the change in the offset angle. This paper looks at the relationship between the minimum critical buckling
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Poudel, Biswas, and Istemi B. Ozsoy. "Finite Element Analysis of the Critical Buckling Load in Hollow Microneedles With Lateral Support." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-94699.

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Abstract Hollow microneedles provide minimum invasion to the skin and painless drug and vaccine delivery. However, there is a risk of fracture due to insufficient mechanical strength. The strength of microneedles might be increased by mimicking the bite of a mosquito. A mosquito has a proboscis that consists of a long needle (fascicle) surrounded by a protective sheath (labium). This sheath (labium) folds back as the fascicle pierces the skin, which provides lateral support to the fascicle. The lateral support increases the force that can be applied at the tip of the needle without buckling. I
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Kardomateas, George A. "Orthotropic Column Buckling: The Euler and Engesser/Haringx/Timoshenko Formulas Versus an Elasticity Solution." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0707.

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Abstract The well known column buckling formulas of Euler and these of Engesser / Haringx / Timoshenko (which correct for transverse shear) were derived for isotropic materials, and are routinely used in composite structural applications. The accuracy of these formulas, when orthotropic composite material and moderate thickness are involved, is investigated in the present study by comparing the critical loads from these formulas with the predictions of a three-dimensional orthotropic elasticity solution. The column is assumed to be in the form of a hollow circular cylinder and the Euler or Tim
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Dalir, H., J. Akbari, T. Hatsuzawa, and A. Farshidianfar. "Effects of Axial Load on Wave Propagation in Double-Walled Carbon Nanotubes Used as a Flexible Tip in AFM." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84549.

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This paper is concerned with the effect of axial load, shear deformation and rotary inertia on wave propagation in double-walled carbon nanotubes (DWCNTs) within terahertz range. Our analysis is based on Timoshenko-beam model and Euler-beam model. The present models predict some terahertz critical frequencies at which the number of wave speeds changes. In these models the amounts of wave speed is unique only when the frequency is below the lowest critical frequency. When the frequency is equal to the lowest critical frequency, there can be one or two (for CNTs of smaller radii) wave speeds. Fu
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Şen, Pelin Keskin, Buse Bozkaplan, and Berra Gültekin Sınır. "Stability of Euler-Bernoulli Beams with Geometric Imperfection." In 6th International Students Science Congress. Izmir International Guest Student Association, 2022. http://dx.doi.org/10.52460/issc.2022.018.

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In this study, we have focused on slightly curved beams which can be used in various fields such as bridges, sensors, pipes, roofs etc. Beams with curvature can be classified as slightly curved or curved only. In slightly curved beams, curvature and beam’s displacement are considered in the same order. Thus, the variation of the moment of inertia due to curvature are ignored. Slightly curved beams are commonly called beams with geometric imperfection or shallow curved beams in the literature. We have discussed the geometric imperfection, in other words the slight curvature, in beam kinematics
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Meade, Kevin P., and Avinash G. Patwardhan. "Stability of the Lumbar Spine Subjected to a Follower Load: Part II — Theoretical Results." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0088.

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Abstract A number of theoretical studies of the stability of structures subjected to follower loads have been reported in the literature. The classic example is due to Beck who, in 1952, investigated the stability of a cantilevered beam-column subjected to a load applied to its free end that remained exactly tangent to the deflection curve (Atanackovic, 1997 and Timoshenko, 1961). To obtain the critical load it was necessary to perform a dynamic analysis of the problem. In problems such as these, instability comes in the form of flutter rather than divergence. The purpose of this study was to
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Novaković, Branislava N., and Nina Novaković-Marinković. "STABILITY ANALYSIS OF A NANO BEAM WITH NONSYMMETRIC BOUNDARY CONDITIONS." In The 9th Conference on Mathematics in Engineering: Theory and Applications. Faculty of Technical Sciences, University of Novi Sad, 2024. http://dx.doi.org/10.24867/meta.2024.15.

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In this paper we investigate stability of an axially loaded nano beam that is clamped at one end and elastically restrained against rotation on the other. We analyze elastically buckling nano beam based on Eringen’s nonlocal elasticity theory. The Euler method of adjacent equilibrium configuration is used to derive the nonlinear governing equations. The critical axial force and postbuckling shape are obtained for the beam with the unit cross-sectional area. New numerical results are obtained. The numerical analysis includes the influence of the characteristic parameter of the small scale lengt
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De Felice, Alessandro, and Silvio Sorrentino. "Further Insights in the Dynamic Analysis of Parametrically Excited Stable Rotors With Unbalance: Shear and Gyroscopic Effects." In ASME 2024 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2024. https://doi.org/10.1115/imece2024-142702.

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Abstract This study, following a previous investigation by the same authors, deals with unbalance effects in the stable domain of a slender rotor parametrically excited by an axial end thrust, considering in addition, as a novel contribution, the effects of shear deformation and gyroscopic actions. Unbalance causes a harmonic load acting on flexural deflection, influencing the response together with the parametric excitation, yielding a sequence of combination external resonances, also affecting the critical speeds of the rotor. A distributed-parameter model is adopted, consisting of a homogen
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Zhen, Bin, and Wei Luo. "A new analytical method to calculate critical velocity for an infinite Bernoulli–Euler beam on a winkle-type elastic foundation subjected to a harmonic moving load." In International Conference on Modern Engineering Soultions for the Industry. WIT Press, 2014. http://dx.doi.org/10.2495/mesi141222.

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