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Journal articles on the topic 'Sinusoidal beams'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Wang, Guanxue, Yue Li, Xinzhi Shan, Yu Miao, and Xiumin Gao. "Hermite–Gaussian beams with sinusoidal vortex phase modulation." Chinese Optics Letters 18, no. 4 (2020): 042601. http://dx.doi.org/10.3788/col202018.042601.

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2

Kotlyar, V. V., and A. A. Kovalev. "Sinusoidal Gaussian optical vortex as a superposition of two hypergeometric beams." Computer Optics 46, no. 1 (February 2022): 16–21. http://dx.doi.org/10.18287/2412-6179-co-1008.

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We analyze the propagation of hypergeometric beams with a parabolic initial wavefront in a homogeneous medium. While hypergeomentric beams have a central amplitude singularity in the initial plane and are of infinite energy, superposition of two such beams has no singularity and is of finite energy. A particular case of such a superposition we study in detail is a sinusoidal Gaussian beam with a unit topological charge. This beam belongs to the class of elegant laser beams since it is described by the same complex-argument function both in the initial plane and in the Fresnel diffraction zone. The diameter of the first light ring of the sinusoidal Gaussian beam is almost independent of the Gaussian beam waist radius.

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3

Li, Jin Hong, Mei Ling Duan, and Ji Lin Wei. "Evolution of Intensity Distribution of Partially Coherent Sinusoidal-Gaussian Beams through Slant Atmospheric Turbulence." Applied Mechanics and Materials 263-266 (December 2012): 1214–18. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.1214.

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Based on the extended Huygens-Fresnel principle, the analytical expressions for the intensity of partially coherent sinusoidal-Gaussian beams with Schell-model correlator in atmospheric turbulence along a slant path are derived, and used to study the evolution of intensity distribution of partially coherent sinusoidal-Gaussian beams, including partially coherent sin-Gaussian (SiG), cos-Gaussian (CoG), sinh-Gaussian (ShG), cosh-Gaussian (ChG) beams. It is shown that the different intensity distribution at the source plane of the four beams evolve to the same Gaussian distribution in atmospheric turbulence along a slant path. The spreading of the partially coherent sinusoidal-Gaussian beams along a horizontal path is larger than that along a slant path in the long atmospheric propagation, and the slant path is more beneficial to the beam propagation through atmospheric turbulence in comparison with the horizontal propagation. The validity of our results is interpreted physically. Results in this paper may provide potential applications in free-space optical communications.

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4

ZENKOUR, A. M., M. N. M. ALLAM, and MOHAMMED SOBHY. "EFFECT OF TRANSVERSE NORMAL AND SHEAR DEFORMATION ON A FIBER-REINFORCED VISCOELASTIC BEAM RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS." International Journal of Applied Mechanics 02, no. 01 (March 2010): 87–115. http://dx.doi.org/10.1142/s1758825110000482.

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This article investigates the effect of transverse normal and shear deformations on a fiber-reinforced viscoelastic beams resting on two-parameter (Pasternak's) elastic foundations. The results are obtained by the refined sinusoidal shear deformation beam theory and compared with those obtained by the simple sinusoidal shear deformation beam theory, Timoshenko first-order shear deformation beam theory as well as Euler-Bernoulli classical beam theory. The effects of foundation stiffness on bending of viscoelastic composite beam are presented. The effective moduli methods are used to derive the governing equations of viscoelastic beams. The influences of several parameters, such as length-to-depth ratio, foundation stiffness, time parameter and other parameters on mechanical behavior of composite beams resting on Pasternak's foundations are investigated. Numerical results are presented and conclusions are formulated.

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5

Jiang, Zi-qin, Xiao-feng Yang, Chao Dou, Shi-huan Li, and Ai-lin Zhang. "Seismic performance of prefabricated corrugated web beam-column joint with replaceable cover plates." Advances in Structural Engineering 22, no. 5 (October 29, 2018): 1161–74. http://dx.doi.org/10.1177/1369433218807688.

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Based on the idea of damage control, this article studied a new type of earthquake-resilient prefabricated sinusoidal corrugated web beam-column joints. First, the constitution and advantages of prefabricated sinusoidal corrugated web beam-column joints were introduced. Then, finite element models are developed based on the design theory, and the hysteretic behaviour of prefabricated sinusoidal corrugated web beam-column joints was investigated using the finite element method considering the effects of parameters such as the weakened form, thickness and unbolted length of the flange cover plate, the bolt hole form and the gap between the beams. Finally, cyclic loading test and repairing test were conducted on a basic specimen, and the rationality of the numerical analyses and the design theory were verified. It indicates that a properly designed prefabricated sinusoidal corrugated web beam-column joint has good bearing capacity and hysteretic behaviour with earthquake resilience. The thickness and unbolted length of the flange cover plate, the bolt hole form and the gap between the beams have significant effects on the seismic behaviour of the joint.

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6

Pritykin, A. I. "Deflection of beams with sinusoidal perforation." IOP Conference Series: Materials Science and Engineering 913 (September 12, 2020): 022062. http://dx.doi.org/10.1088/1757-899x/913/2/022062.

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7

Li, Botong, Chein-Shan Liu, and Liangliang Zhu. "Vibration Analysis of Composite Beams with Sinusoidal Periodically Varying Interfaces." Zeitschrift für Naturforschung A 73, no. 1 (December 20, 2017): 57–67. http://dx.doi.org/10.1515/zna-2017-0248.

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AbstractAs an increasing variety of composite materials with complex interfaces are emerging, we develop a theory to investigate composite beams and shed some light on new physical insights into composite beams with sinusoidal periodically varying interfaces. For the natural vibration of composite beams with continuous or periodically varying interfaces, the governing equation has been derived according to the generalised Hamiltonian principle. For composite beams having different boundary conditions, we transform the governing equations into integral equations and solve them by using the sinusoidal functions as test functions as well as the basis of the vibration modes. Due to the orthogonality of the sinusoidal functions, expansion coefficients in closed form can be found. Therefore, the proposed iterative schemes, with the help of the Rayleigh quotient and boundary functions, can quickly find the eigenvalues and free vibration modes. The obtained natural frequencies agree well with those obtained using the finite element method. In addition, the proposed method can be extended easily to laminated composite beams in more general cases or complex components and geometries in vibration engineering. The effects of different material properties of the upper and lower components and varying interface geometry function on the frequency of the composite beams are examined. According to our investigation, the natural frequency of a laminated beam with a continuous or periodically varying interface can be changed by altering the density or elastic modulus. We also show the responses of the frequencies of the components to the varying periodic interface.

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8

Casperson, Lee W., Dennis G. Hall, and Anthony A. Tovar. "Sinusoidal-Gaussian beams in complex optical systems." Journal of the Optical Society of America A 14, no. 12 (December 1, 1997): 3341. http://dx.doi.org/10.1364/josaa.14.003341.

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9

Durif, S., and A. Bouchaïr. "Behavior of Cellular Beams with Sinusoidal Openings." Procedia Engineering 40 (2012): 108–13. http://dx.doi.org/10.1016/j.proeng.2012.07.064.

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10

Lim, Teik-Cheng. "Revisiting the elasticity solution for a simply supported beam under sinusoidal load." International Journal of Mechanical Engineering Education 46, no. 1 (July 2, 2017): 41–49. http://dx.doi.org/10.1177/0306419017717726.

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This article presents an alternate final solution to the deflection profile of a simply supported beam under sinusoidal load based on the theory of elasticity. It begins with a review of the same problem found in typical graduate textbooks, which ends with an elasticity solution that is valid only for moderately thick beams, and thereafter provides an alternative ending for providing a more accurate deflection profile that is valid for very thick beams. Plotted results show evidence on the deficiency of the textbook solution for very thick beams, thereby limiting its use as a verifier for the Mechanics of Materials solution. Unlike the existing simplified elasticity model, the exact model does not reduce to the Mechanics of Materials model when the Poisson’s ratio of the beam material is −1. In addition to being a better verifier to the Mechanics of Materials solution, the proposed exact elasticity solution can be easily reduced to the simplified elasticity solution that is currently adopted in some graduate textbooks.

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11

Zhang, Li, Qing Hua Li, Shi Lang Xu, and Bin Zhou. "Research on Monotonic and Fatigue Properties of Functionally Graded Composite Beams Crack-Controlled by UHTCC in Bending." Advanced Materials Research 639-640 (January 2013): 225–30. http://dx.doi.org/10.4028/www.scientific.net/amr.639-640.225.

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This research focuses on mechanical performances of UHTCC-FGC beams under monotonic and fatigue loading. Three UHTCC-FGC beams are tested, including two monotonic beams and one fatigue beam. The stress level of fatigue beam is set as 0.85. The constant ratio of minimum stress to maximum stress is set to 0.2 to avoid any impact and slip between the loading machine and the specimens during testing. The specimen is subjected to sinusoidal cyclic loading at 1 frequency. During the experiments, the fatigue life, deformability and loading capacity of UHTCC-FGC beams are measured and recorded. Meanwhile，the development of cracks and the failure pattern of UHTCC-FGC beams during the test are observed at the same time.

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12

KALAYCIOGULU, S., and A. K. MISRA. "MINIMIZATION OF VIBRATION OF AXIALLY MOVING BEAMS." Transactions of the Canadian Society for Mechanical Engineering 13, no. 4 (December 1989): 133–43. http://dx.doi.org/10.1139/tcsme-1989-0020.

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The paper investigates the vibrations of axially moving beams which may represent appendages in the process of deployment from a spacecraft or a prismatic joint in a flexible manipulator. The existing dynamical analyses of axially moving beams assume a given deployment scheme (usually, uniform deployment rate) and determine the corresponding vibratory response. The present paper, however, attempts to determine deployment schemes so that vibrations are minimized. First, several deployment schemes (uniform, exponential, squared and sinusoidal) are compared and it is noticed that the sinusoidal scheme results in the least vibratory amplitude. This is followed by an actual minimization process using pontryagin’s principle. In this, deployment from a given initial length to a desired final length within a specified duration of time is considered and the square of the displacement, integrated over the length and over the given duration, is minimized. The two-point boundary-value problem obtained is solved numerically. The vibration during this optimum deployment scheme is much smaller than that during uniform or exponential deployment; the sinusoidal scheme, however, appears to be quite good and comparable to the optimal scheme.

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13

Zhang, Linhui, and Jeongho Kim. "Core crushing and dynamic response of sandwich steel beams with sinusoidal and trapezoidal corrugated cores: A parametric study." Journal of Sandwich Structures & Materials 21, no. 7 (September 13, 2017): 2413–39. http://dx.doi.org/10.1177/1099636217731255.

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This paper presents a finite element based parametric study of the dynamic response and strength of sandwich steel beams with either sinusoidal or trapezoidal corrugated core subjected to impulsive blast loads. The sandwich steel beams consists of flat top and bottom substrates made of Steel 1018 and four core layers of Steel 1008. The core layers are arranged with uniform and non-uniform thicknesses. The finite element model is validated with a set of shock tube experiments and thus makes it feasible for a present parametric design study of core configurations. Sinusoidal and trapezoidal core shapes as well as various core thickness arrangements are taken into consideration for comparing core crushing and buckling behavior and their performances in mitigating blast load effects onto the main structure. A unit-cell beam and a fully clamped sandwich beam are studied to elucidate the effect of core shapes and arrangement onto its dynamic response.

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14

Gordaninejad, F., and A. Ghazavi. "Effect of Shear Deformation on Bending of Laminated Composite Beams." Journal of Pressure Vessel Technology 111, no. 2 (May 1, 1989): 159–64. http://dx.doi.org/10.1115/1.3265652.

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A higher-order shear deformation beam theory is utilized to analyze the bending of thick laminated composite beams. This theory accounts for parabolic distribution of shear strain through the thickness of the beam. The predicted displacements show improvement over the Bresse-Timoshenko beam theory. Mixed finite element results are obtained for those cases where closed-form solutions are not available. The finite element and exact solutions are in close agreement. Numerical results are presented for single, two and three-layer beams under uniform and sinusoidal distributed transverse loadings.

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15

Casperson, Lee W., and Anthony A. Tovar. "Hermite–sinusoidal-Gaussian beams in complex optical systems." Journal of the Optical Society of America A 15, no. 4 (April 1, 1998): 954. http://dx.doi.org/10.1364/josaa.15.000954.

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16

Eyyuboğlu, Halil Tanyer. "Hermite hyperbolic/sinusoidal Gaussian beams in ABCD systems." Optik 118, no. 6 (June 2007): 289–95. http://dx.doi.org/10.1016/j.ijleo.2006.03.022.

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17

Le, Ich Cong. "FREE VIBRATION OF BFGSW BEAMS PARTIALLY RESTING ON PASTERNAK FOUNDATION BASED ON A SINUSOIDAL THEORY." Vietnam Journal of Science and Technology 58, no. 5 (October 16, 2020): 635. http://dx.doi.org/10.15625/2525-2518/58/5/15052.

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In this paper, free vibration of a bidirectional functionally graded sandwich (BFGSW) beams partially resting on a Pasternak foundation is studied. The beams with three layers, an axially functionally graded core and two bidirectional functionally graded face sheets, are made from a mixture of metal and ceramic. The material properties of the face sheets are considered to vary continuously in both the thickness and length directions by the power-law distributions, and they are estimated by Mori-Tanaka scheme. A sinusoidal shear deformation theory, in which the transverse displacement is split into bending and shear parts, is employed to derive energy expressions of the beam. A finite element formulation is formulated and employed to compute vibration characteristics. Numerical result reveals that the ratio of foundation support to the beam length plays an important role on the vibration behaviour, and the dependence of the frequencies upon the material grading indexes is governed by this ratio. Numerical investigation is carried out to highlight the effects of the material distribution, the layer thickness ratio, the foundation stiffness on the vibration characteristics of the beams. The influence of the aspect ratio on the frequencies of the beams and is also examined and discussed.

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18

Makki, O. M., and H. M. K. Al-Mutairee. "Response of Rubcrete Continuous Deep Beams under Sinusoidal Loads." International Journal of Engineering 35, no. 7 (2022): 1307–16. http://dx.doi.org/10.5829/ije.2022.35.07a.10.

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19

Tovar, Anthony A., and Lee W. Casperson. "Production and propagation of Hermite–sinusoidal-Gaussian laser beams." Journal of the Optical Society of America A 15, no. 9 (September 1, 1998): 2425. http://dx.doi.org/10.1364/josaa.15.002425.

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20

Goszczyńska, Barbara, Wiesław Trąmpczyński, Magdalena Bacharz, and Kamil Bacharz. "A load capacity of cyclic loaded reinforced concrete beams." Budownictwo i Architektura 13, no. 3 (September 11, 2014): 079–86. http://dx.doi.org/10.35784/bud-arch.1768.

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In this paper, an effect of cyclic and variable loads on the capacity of reinforced concrete beams is investigated. The study was conducted on 28 reinforced concrete beams including 12 two-span beams - statically indeterminate and 16 simply supported single-span beams. Those beams were differentiated by the structure and degree of longitudinal reinforcement (two degrees of reinforcement) and load applied programs (three programs types) including the monotonic load, load with unloadings and cyclic load. The last one was taken as a sinusoidal cyclic load with 100,000 cycles carried out for three ranges of loading forces. On the basis of a comparative analysis it can be concluded that in the case of the two-span beams, the imposition of 252,000 load cycles results in 20% drop of the beam capacity. Such an effect is not observed for load with unloadings and in the case of simply supported beams.

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21

Pasternak, Hartmut, and Gabriel Kubieniec. "PLATE GIRDERS WITH CORRUGATED WEBS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 16, no. 2 (June 30, 2010): 166–71. http://dx.doi.org/10.3846/jcem.2010.17.

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Especially for the main frames of single‐storey steel buildings the use of corrugated web beams, mainly with sinusoidal corrugation, has been increased very much during the last years. Due to the thin web of 1,5 mm to 3 mm corrugated web beams afford a significant weight reduction compared with hot rolled profiles or welded I‐sections. Buckling failure of the web is prevented by the corrugation. The buckling resistance of presently used sinusoidal corrugated webs is comparable with plane webs of 12 mm thickness or more. Due to improvements of the automatic fabrication process corrugated webs up to 6 mm thickness became possible. Therefore the field of application of this beam type has been extended considerable. Even short span bridges are possible now. The dimensioning of corrugated web beams is ruled by the EN 1993–1‐5 Annex D ‐ it covers only web thicknesses up to 3 mm. In the last years many tests and finite element simulations have been carried out. Regarding this background, these EN rules will be discussed and extended. Furthermore, additional proposals for patch loading and lateral‐torsional buckling of girders with sinussoidal webs will be given. Santrauka Pastaruoju metu ypač vienaukščiu pastatu plieniniams remams imtos plačiai naudoti sijos su pagal sinusoide banguota sienele. Del plonu 1,5–3,0 mm storio gofruotuju siju sieneliu ju mase gerokai sumažeja, palyginti su karštai valcuotomis arba virintinemis dvitejo skerspjūvio sijomis. Sijos sieneles klumpamosios irties išvengiama del sieneles bangavimo. Šiuo metu naudojamu pagal sinusoide subanguotu sieneliu klumpamoji galia yra lygintina su 12 mm arba didesnio storio plokščiu sieneliu galia. Patobulinus automatini gaminimo procesa gofruotaja sienele galima padaryti iki 6 mm storio. Todel labai išsiplečia šiu siju naudojimo sritys. Sijos gali būti naudojamos nedidelio tarpatramio tiltams. Banguotasieniu siju projek‐tavimo metodika aprašyta EN 1993–1‐5 D priede, tačiau ji galioja tik sijoms, kuriu sieneles storis neviršija 3 mm. Pastarai‐siais metais atlikta daug bandymu ir skaitiniu eksperimentu baigtiniu elementu metodu. Todel šios EN projektavimo nuostatos bus aptariamos ir išplestos. Be to, straipsnyje pateiktos papildomos rekomendacijos, kaip vertinti siju su pagal sinusoide banguota sienele uždetaja apkrova ir lenkiamaji sukamaji klupuma.

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22

Kojima, Toshitaka. "Diffraction of Hermite–Gaussian beams from a sinusoidal conducting grating." Journal of the Optical Society of America A 7, no. 9 (September 1, 1990): 1740. http://dx.doi.org/10.1364/josaa.7.001740.

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23

Lee, Yongsik, and Z. C. Feng. "Dynamic responses to sinusoidal excitations of beams with frictional joints." Communications in Nonlinear Science and Numerical Simulation 9, no. 6 (December 2004): 571–81. http://dx.doi.org/10.1016/s1007-5704(03)00060-1.

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24

Sayyad, Atteshamuddin S., and Yuwaraj M. Ghugal. "A sinusoidal beam theory for functionally graded sandwich curved beams." Composite Structures 226 (October 2019): 111246. http://dx.doi.org/10.1016/j.compstruct.2019.111246.

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25

Arbain, Tata, Raffel Anthonius Frederik, Ihsan Muhammad, and Djamaluddin Rudy. "Durability of RC Beams Strengthened Using GFRP-Sheet due to Fatigue Loads." MATEC Web of Conferences 280 (2019): 04012. http://dx.doi.org/10.1051/matecconf/201928004012.

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This paper presented the results of an experimental study of the behaviour of flexural beams strengthened with the glass fiber reinforced polymer (GFRP-S). This research was carried out to determine the effect of fatigue loads on the flexural capacity of reinforced concrete beams. The specimens were rectangular with a dimension of 150 mm in width, 200 mm in height, and 3300 mm in length. Four distinct conditions had been applied to this experiment. For the initial condition, two beams were tested under monotonic loads (maximum load control) as a control beam (BN). Sinusoidal fatigue loads were applied to four specimens from 4 kN to 24 kN (BF). Our comparative results of the experiment had presented that the normal beams (BN) failed after 800,000 loads cycle, while, the reinforced beams with GFRP (BF) failed after 1,231,860 loads cycle. Based on our results, it can be stated generally that fatigue life of the reinforcement beams (BF) could increase to more than 100% compared to that of the normal beams (BN). The failure of the beams is probably caused by fatigue of the reinforcement bar and debonding of the GFRP-S, both are secondary failure mechanism of reinforced concrete beams.

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26

Pritykin, Alexej I. "Prediction of the castellated beams deflections." Vestnik MGSU, no. 9 (September 2022): 1160–74. http://dx.doi.org/10.22227/1997-0935.2022.9.1160-1174.

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Introduction. Existence of openings in webs of beams reduce their shear rigidity and increase deflections compare with beams of the same dimensions with solid web. Investigation of the castellated beam’s deflections is important, because one of main demands to beams of engineering structures is guarantee of necessary rigidity, i.е. restriction of ratio deflection to length. In the work it was studied deflections of castellated beams with diamond shape, hexagonal, sinusoidal and circular openings, widely used in structural industry. Materials and methods. Effect of openings on transverse deflections of the castellated steel beams was studied analytically with theory of composite bars, with the finite element method and experimentally on four meters’ double consoled beams under loading with concentrated forces applied at consoles. Results. Universal analytical relation was obtained which allow reliably evaluate deflections of simply supported beams with various shape of openings under different kind of loading. Analysis of results of calculation of beams by FEM using program complex ANSYS demonstrates satisfactory correspondence to experimental data and to analytical relations. Conclusions. Obtained with the theory of composite bars analytical dependences for deflections of simply supported beams are applicable for beams with various type of perforation and different kind of loading.

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27

Noorsuhada, Md Noor, Ibrahim Azmi, Muhamad Bunnori Norazura, Mohd Saman Hamidah, Mat Saliah Soffian Noor, and Shahidan Shahiron. "Fatigue Crack Inspection and Acoustic Emission Characteristics of Precast RC Beam under Repetition Loading." Applied Mechanics and Materials 773-774 (July 2015): 1022–26. http://dx.doi.org/10.4028/www.scientific.net/amm.773-774.1022.

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Fatigue crack of the precast reinforced concrete beam under repetition loading is vital to be examined. Reinforced concrete structures exposed to excessive repetition loading could lead to the failure of the structures. In order to examine the active fatigue crack, the reinforced concrete beams were subjected to three-point repetition maximum loading. Eight phases of maximum fatigue loading with sinusoidal wave, frequency of 1 Hz and 5000 cycles for each phase were performed on the reinforced concrete beams. The inspection was carried out with visual observation of the crack pattern and acoustic emission technique for each load phase. The signal strength of acoustic emission was investigated. It is found that the signal strength of acoustic emission and crack pattern of the reinforced concrete beam subjected to repetition loadings showed promising results for structural health monitoring.

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28

Kudryavtsev, Sergey. "Transverse load carrying capacity of steel triangularly corrugated web beam with opening." MATEC Web of Conferences 279 (2019): 02004. http://dx.doi.org/10.1051/matecconf/201927902004.

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The paper presents a study of the transverse bending behaviour of corrugated web beam with and without web openings. Examined steel beams consist of two flanges and a thin triangularly corrugated web, connected by automatic welding. In the literature, the influence of web opening over transverse load carrying capacity was dealt with mostly for steel beams with plane, sinusoidal and trapezoidal corrugated webs, so researches of beams with triangularly corrugated webs were found out to be very limited. A parametric study is carried out for various web slenderness and corrugation densities. A general-purpose finite element analysis software ABAQUS was used. The corrugation densities adopted in this study represent practical geometries, which are commonly used for such structures in building practice. Models with and without web openings were analysed and examined in terms of load-deformation characteristics and ultimate web shear resistance. Recommendations are given for the practical design of corrugated web beams weakened by circular openings.

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29

Xie, Zhong You. "A Numerical Study on Response of Foam Sandwich Beams with Corrugated Skins Subjected to Large Deflection." Advanced Materials Research 655-657 (January 2013): 1879–83. http://dx.doi.org/10.4028/www.scientific.net/amr.655-657.1879.

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Foam sandwich beams with sine-curve skins subjected to large deflection were studied using finite element analysis, in which damage mechanisms of face sheet were introduced. Sandwich beams with various sinusoidal skins were simulated and results indicated that corrugation could make the deflection and energy absorption up to face fracture increase remarkably compared to the counterpart with planar skins.

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30

Zubkov, Vladimir, Alexey Lukin, and Vadim Alpatov. "Experimental research of beams with corrugated web." MATEC Web of Conferences 196 (2018): 01005. http://dx.doi.org/10.1051/matecconf/201819601005.

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The paper presents an experimental methodology, measuring instruments, equipment and results of an experimental study of beams with corrugated sinusoidal-shaped web. It also investigates the influence of parameters on the beams load bearing capacity. The researchers obtained data on critical loads and types of the extreme limit state at action of concentrated forces with various width of a load transmission section. They also assessed load bearing capacity of beams with different length and section height when work according to single-span jointed scheme.

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31

Gerçekcioğlu, Hamza, and Yahya Baykal. "Minimization effects on scintillations of sinusoidal Gaussian beams in strong turbulence." Journal of Optics 13, no. 11 (November 1, 2011): 115705. http://dx.doi.org/10.1088/2040-8978/13/11/115705.

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32

Qaiser, Zeeshan, Omer Masood Qureshi, and Khalil Aslam Awan. "Thin walled beams with sinusoidal embedded patterns under deep bending collapse." Thin-Walled Structures 73 (December 2013): 94–100. http://dx.doi.org/10.1016/j.tws.2013.07.005.

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33

Qaiser, Zeeshan, Omer Masood Qureshi, Shane Johnson, and Abid Ali Khan. "Thin walled circular beams with sinusoidal embedded patterns under axial impacts." Thin-Walled Structures 99 (February 2016): 76–82. http://dx.doi.org/10.1016/j.tws.2015.11.005.

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34

Durif, S., A. Bouchaïr, and O. Vassart. "Experimental tests and numerical modeling of cellular beams with sinusoidal openings." Journal of Constructional Steel Research 82 (March 2013): 72–87. http://dx.doi.org/10.1016/j.jcsr.2012.12.010.

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35

Pritykin, A. I., and A. V. Misnik. "STRESS DISTRIBUTION AND CONCENTRATION IN CASTELLATED BEAMS WITH SINUSOIDAL WALL PERFORATION." Vestnik MGSU, no. 8 (August 2017): 876–84. http://dx.doi.org/10.22227/1997-0935.2017.8.876-884.

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36

Davalos, Julio F., Pizhong Qiao, Vinod Ramayanam, Luyang Shan, and Justin Robinson. "Torsion of honeycomb FRP sandwich beams with a sinusoidal core configuration." Composite Structures 88, no. 1 (March 2009): 97–111. http://dx.doi.org/10.1016/j.compstruct.2008.02.005.

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37

de Carvalho, Adriano Silva, Carlos Humberto Martins, Alexandre Rossi, Vinicius Moura de Oliveira, and Samadhan G. Morkhade. "Moment gradient factor for steel I-beams with sinusoidal web openings." Journal of Constructional Steel Research 202 (March 2023): 107775. http://dx.doi.org/10.1016/j.jcsr.2023.107775.

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38

Ungureanu, Viorel, and Dan Dubina. "Influence of Corrugation Depth on Lateral Stability of Cold-Formed Steel Beams of Corrugated Webs." Acta Mechanica et Automatica 10, no. 2 (June 1, 2016): 104–11. http://dx.doi.org/10.1515/ama-2016-0017.

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Abstract The beams of thin corrugated web afford a significant weight reduction compared with hot-rolled or welded ones. In the initial solutions, the flanges are made of flat plates, welded to the sinusoidal web sheet, requiring a specific welding technology. A new solution is proposed by the authors, in which the beam is composed by a web of trapezoidal cold-formed steel sheet and flanges of back-to-back lipped channel sections. For connecting flanges to the web self-drilling screws are used. The paper summarizes the experimental and numerical investigations carried out at the CEMSIG Research Centre (www.ct.upt.ro/centre/cemsig/) of the Politehnica University of Timisoara and, at the end, presents the influence of corrugation depth of web on the lateral stability of the beams.

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39

Citrin, David S. "Effects of Timing Noise on Square-Wave Optoelectronic Oscillators." Applied Sciences 11, no. 24 (December 17, 2021): 12038. http://dx.doi.org/10.3390/app112412038.

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Optoelectronic oscillators produce microwave-modulated optical beams without external modulation. The most commonly studied types produces narrow-band output, i.e., optical output modulated by a sinusoid, in which case phase noise determines key figures of merit that limit device performance. Nonetheless, other types of modulated signals have been exhibited by optoelectronic oscillators, including square waves. In this work we provide a theoretical treatment of the power spectral density of a microwave self-modulated optical periodic, but non-sinusoidal, oscillator in the presence of timing noise (as phase noise is only defined for a single sinusoid) and focus on the case of square waves. We consider the effects of timing noise on the power spectral density and autocorrelation function of the modulation signal.

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Górecki, Marcin, and Krzysztof Śledziewski. "Influence of Corrugated Web Geometry on Mechanical Properties of I-Beam: Laboratory Tests." Materials 15, no. 1 (December 30, 2021): 277. http://dx.doi.org/10.3390/ma15010277.

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This paper presents the results of experimental investigations performed on beams with corrugated webs. The aim of the research was to determine the effect of the geometric parameters of the sinusoidal web on the behavior of I-beams subjected to four-point bending. Special attention was paid to the effects of web thickness and wave geometry on the deflection of beams. The obtained failure modes of particular test samples are presented. Reference has also been made to the determined standard load capacities based on Annex D of the EC3 standard. In order to compare the performance of beams with corrugated webs, the results for beams with flat webs of the same thickness of web sheets are also presented.

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41

Ebrahimi, Farzad, and Ali Jafari. "A Higher-Order Thermomechanical Vibration Analysis of Temperature-Dependent FGM Beams with Porosities." Journal of Engineering 2016 (2016): 1–20. http://dx.doi.org/10.1155/2016/9561504.

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In the present paper, thermomechanical vibration characteristics of functionally graded (FG) Reddy beams made of porous material subjected to various thermal loadings are investigated by utilizing a Navier solution method for the first time. Four types of thermal loadings, namely, uniform, linear, nonlinear, and sinusoidal temperature rises, through the thickness direction are considered. Thermomechanical material properties of FG beam are assumed to be temperature-dependent and supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM) which is modified to approximate the porous material properties with even and uneven distributions of porosities phases. The governing differential equations of motion are derived based on higher order shear deformation beam theory. Hamilton’s principle is applied to obtain the governing differential equations of motion which are solved by employing an analytical technique called the Navier type solution method. Influences of several important parameters such as power-law exponents, porosity distributions, porosity volume fractions, thermal effects, and slenderness ratios on natural frequencies of the temperature-dependent FG beams with porosities are investigated and discussed in detail. It is concluded that these effects play significant role in the thermodynamic behavior of porous FG beams.

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TEKİN ATACAN, Ayfer, and Receb Faruk YÜKSELER. "Nonlinear Behavior of Beams Having Initially Small Imperfection Subjected to Sinusoidal Load." Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 9, no. 1 (March 13, 2020): 466–77. http://dx.doi.org/10.17798/bitlisfen.592938.

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Tan, T. H., H. P. Lee, and G. S. B. Leng. "Parametric instability of spinning pretwisted beams subjected to sinusoidal compressive axial loads." Computers & Structures 66, no. 6 (March 1998): 745–64. http://dx.doi.org/10.1016/s0045-7949(98)00002-9.

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Qureshi, Omer Masood, and Enrico Bertocchi. "Crash behavior of thin-Walled box beams with complex sinusoidal relief patterns." Thin-Walled Structures 53 (April 2012): 217–23. http://dx.doi.org/10.1016/j.tws.2011.12.006.

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Durif, S., and A. Bouchair. "Analytical model to predict the resistance of cellular beams with sinusoidal openings." Journal of Constructional Steel Research 121 (June 2016): 80–96. http://dx.doi.org/10.1016/j.jcsr.2016.01.015.

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Shen, Shuang, Zhen-Jun Yang, Jian-Li Guo, Yue-Jiao Wang, and Zhao-Guang Pang. "Propagation characteristics of astigmatic hyperbolic sinusoidal Gaussian beams in nonlocal nonlinear media." Optik 224 (December 2020): 165454. http://dx.doi.org/10.1016/j.ijleo.2020.165454.

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Martin, P. O., M. Couchaux, O. Vassart, and A. Bureau. "An analytical method for the resistance of cellular beams with sinusoidal openings." Engineering Structures 143 (July 2017): 113–26. http://dx.doi.org/10.1016/j.engstruct.2017.03.048.

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Durif, Sebastien, Abdelhamid Bouchair, and Claude Bacconnet. "Elastic rotational restraint of web-post in cellular beams with sinusoidal openings." Steel and Composite Structures 18, no. 2 (February 25, 2015): 325–44. http://dx.doi.org/10.12989/scs.2015.18.2.325.

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Ricciardelli, Francesco, and Carmelo Briatico. "Transient Response of Supported Beams to Moving Forces with Sinusoidal Time Variation." Journal of Engineering Mechanics 137, no. 6 (June 2011): 422–30. http://dx.doi.org/10.1061/(asce)em.1943-7889.0000241.

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Magnucka-Blandzi, E., K. Magnucki, and L. Wittenbeck. "Mathematical modeling of shearing effect for sandwich beams with sinusoidal corrugated cores." Applied Mathematical Modelling 39, no. 9 (May 2015): 2796–808. http://dx.doi.org/10.1016/j.apm.2014.10.069.

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