Academic literature on the topic 'Sinusoidal beams'

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Journal articles on the topic "Sinusoidal beams"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Sinusoidal beams"

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Bacon, David R. "Finite amplitude propagation in acoustic beams." Thesis, University of Bath, 1986. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.483000.

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Durif, Sébastien. "Comportement mécanique des poutres cellulaires à ouvertures sinusoïdales : développement d'un modèle anlytique adapté." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2012. http://tel.archives-ouvertes.fr/tel-00872126.

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L'objectif de ce travail de thèse est de développer une approche analytique permettant de définir la charge ultime d'une poutre cellulaire à ouvertures sinusoïdales. En effet, l'évolution des techniques de production a permis le développement d'une nouvelle forme de poutre cellulaire munie d'ouvertures sinusoïdales : la poutre AngelinaTM. Cette nouvelle forme d'ouverture implique de nouveaux modes de ruine. De ce fait, en vue de développer un modèle de calcul analytique adapté à cette nouvelle forme d'ouverture, une campagne d'essais expérimentaux a été menée sur des poutres cellulaires à ouvertures sinusoïdales à grande échelle (≈10m). Au travers de ces études expérimentales sur trois configurations de poutre, nous avons montré que le principal mode de ruine est lié à la flexion Vierendeel. En effet, la flexion locale des membrures de l'ouverture la plus sollicitée engendre soit la formation de 4 rotules plastiques aux 4 coins de l'ouverture, soit l'instabilité locale des parois d'âme comprimées. Un modèle aux éléments finis a été développé sur le logiciel SAFIR afin d'analyser les différents modes de ruines observés. Ce modèle a été validé sur la base des résultats expérimentaux et nous a permis d'identifier deux points particuliers : d'une part l'existence d'un maintien rotationnel entre le montant intermédiaire et la paroi d'ouverture et d'autre part, la ruine de l'ouverture ne se produit qu'au travers d'un mécanisme combinant les ruines des différents quarts d'ouverture. Une seconde campagne d'études expérimentales et numériques a ensuite été menée sur des parties isolées, extraites des poutres préalablement testées, afin d'étudier de manière locale le comportement à la flexion des quarts d'ouverture. Ces études ont servi à valider un second modèle aux éléments finis, développé sur le logiciel Cast3m. Celui-ci nous a permis, au travers d'une étude paramétrique, de quantifier le maintien rotationnel apporté par le montant intermédiaire sur la paroi d'âme d'ouverture adjacente. Cette étude a confirmé l'importance de la rigidité apportée par le montant intermédiaire aux parois d'âme adjacente. Ainsi, cet apport de rigidité doit être pris en compte dans l'approche analytique pour définir de manière réaliste la résistance au voilement local des différentes parties d'une ouverture sinusoïdale. Finalement, cette thèse a abouti au développement d'un nouveau modèle analytique de calcul de la résistance ultime des parois d'une ouverture sinusoïdale. Du fait des éventuelles instabilités locales, le modèle analytique s'est appuyé sur des éléments théoriques de stabilité des plaques. De plus, une étude numérique détaillée du mécanisme de ruine d'une ouverture isolée nous a permis de justifier une approche cinématique de ruine de l'ouverture sinusoïdale. Cette approche combine les résistances ultimes des différents quarts d'ouverture. Le modèle analytique proposé permet de considérer à la fois la résistance ultime de chaque partie de l'ouverture et leurs modes de ruine. Une étude comparative avec des résultats numériques a montré que ce modèle est fiable et représentatif de la réalité pour caractériser l'état limite ultime des poutres cellulaires à ouvertures sinusoïdales.
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Books on the topic "Sinusoidal beams"

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T. Wave Phenomena. Courier Dover Publications, 2014.

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Book chapters on the topic "Sinusoidal beams"

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Sebastiao, L., and J. Papangelis. "Elastic shear buckling of beams with sinusoidal corrugated webs." In Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems, 241–42. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003348450-113.

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Sebastiao, L., and J. Papangelis. "Elastic shear buckling of beams with sinusoidal corrugated webs." In Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems, 690–95. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003348443-113.

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Nayak, Dipesh Kumar, Madhusmita Pradhan, Prabir Kumar Jena, and Pusparaj Dash. "Dynamic Stability Analysis of an Asymmetric Sandwich Beam on a Sinusoidal Pasternak Foundation." In Lecture Notes in Mechanical Engineering, 101–11. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2696-1_10.

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El Kinani, Radouane, Herinandrianina Ramiarison, Noureddine Barka, and Abderrazak El Ouafi. "Optimization of the Effects Oscillation Welding: Sinusoidal and Triangular Beam During Laser Beam Welding of 5052-H32 Aluminum Alloy." In AI and IoT for Sustainable Development in Emerging Countries, 265–89. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-90618-4_14.

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Higuchi, K., and E. H. Dowell. "Effect of Constant Transverse Force on Chaotic Oscillations of Sinusoidally Excited Buckled Beam." In Nonlinear Dynamics in Engineering Systems, 99–106. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-83578-0_13.

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Preuss, E., and N. Freyer. "Calculation of Diffracted Laser Beam Intensities from Non-Sinusoidal Periodic Surface Profiles Extending in the [001]-Direction on Pt(110)." In Springer Series in Surface Sciences, 606–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73343-7_99.

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Li, Y. C., Y. Liu, and W. D. Zhong. "Second harmonic measurement of multi-beam laser heterodyne with ultra-precision for the glass thickness based on oscillating mirror sinusoidal modulation." In Frontier Research and Innovation in Optoelectronics Technology and Industry, 133–39. London, UK : CRC Press/Balkema, an imprint of the Taylor & Francis Group, [2019]: CRC Press, 2018. http://dx.doi.org/10.1201/9780429447082-19.

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"Resistance assessment of the sinusoidal openings in cellular beams." In Research and Applications in Structural Engineering, Mechanics and Computation, 471–72. CRC Press, 2013. http://dx.doi.org/10.1201/b15963-223.

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Blow, David. "Waves." In Outline of Crystallography for Biologists. Oxford University Press, 2002. http://dx.doi.org/10.1093/oso/9780198510512.003.0007.

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In this very short chapter, some basic facts about waves are presented. Attached to this short chapter are several boxes which give the fundamental mathematical basis for understanding waves in a more quantitative fashion. There are many physical examples of waves. Waves in water are perhaps the most familiar example. A water wave is created by a disturbance in the height of the water surface. The amount by which the height of the water is disturbed by the wave is called its amplitude. Another important form of wave is sound, which is a variation of pressure in a gas or liquid (or of stress in a solid). But for our purposes the most important waves are electromagnetic waves, specifically X-rays, with wavelengths of an Ångström or so. Electromagnetic waves create a disturbance in both the electric field and the magnetic field: usually the wave is represented by its electric component. All these waves carry energy. The rate of energy transfer is called the intensity, and at a given wavelength the intensity is proportional to the square of the amplitude. Detectors of X-rays, discussed in Chapter 1, respond to the quantity of energy delivered by the beam, which is also proportional to the number of photons. The amplitude of any wave is thus proportional to the square root of its intensity. The most simple form of wave is a sinusoidal disturbance which moves forward at a fixed velocity. ‘Sinusoidal’ means shaped like a sine wave (Fig. 3.1). For reasons that will emerge, we will work more often with a cosine function, which is just the same shape as a sine wave, but which has its origin at a maximum point of the wave. A sinusoidal wave can be described by several properties: • the wavelength, which is the distance from one peak to the next; • the amplitude, which is the height of the wave peak above its mean level; • the phase, which specifies where the peak of the wave is, relative to an origin of measurement at the position x=0, and the time t =0; • the wave velocity, which is the velocity at which the wave advances along the propagation direction.
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Conference papers on the topic "Sinusoidal beams"

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Lu, Baida, and Hong Ma. "Decentered Gaussian beams and production of novel sinusoidal Gaussian beams." In International Symposium on Industrial Lasers, edited by Fuxi Gan, Horst Weber, Zaiguang Li, and Qingming Chen. SPIE, 1999. http://dx.doi.org/10.1117/12.361102.

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Eyyuboglu, H. T. "Strong turbulence analysis of sinusoidal and hyperbolic Gaussian beams." In 2010 International Conference on Advanced Optoelectronics and Lasers (CAOL). IEEE, 2010. http://dx.doi.org/10.1109/caol.2010.5634277.

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Yang, Lanlan, Yan Tu, Yongbo Yu, Jianying Zhan, Dinglan Hu, and Qing Li. "An atmospheric neon plasma jet in air driven by pulse-wave-modulated sinusoidal high voltage." In 2014 IEEE 41st International Conference on Plasma Sciences (ICOPS) held with 2014 IEEE International Conference on High-Power Particle Beams (BEAMS). IEEE, 2014. http://dx.doi.org/10.1109/plasma.2014.7012389.

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Lanlan Yang, Yan Tu, Yongbo Yu, Jianying Zhan, Dinglan Hu, and Qing Li. "An atmospheric neon plasma jet in air driven by pulse-wave-modulated sinusoidal high voltage." In 2014 IEEE 41st International Conference on Plasma Sciences (ICOPS) held with 2014 IEEE International Conference on High-Power Particle Beams (BEAMS). IEEE, 2014. http://dx.doi.org/10.1109/plasma.2014.7012745.

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Yao, Houqi, and Jia Qu. "Numerical Simulation of Dynamic and Static Mechanical Response of Sinusoidal Sandwich Structure." In ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/omae2022-79142.

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Abstract Based on the design characteristics of corrugated sandwich structure and pyramid lattice sandwich structure, this paper proposes a sinusoidal beam sandwich structure with different amplitude-period ratio, curved beam cross-sectional area and cross-section adjacent side length ratio. Three variables were used to analyze the quasi-static compression performance and impact resistance of different variable structures by numerical simulation. The three-dimensional modeling of the sinusoidal beam sandwich structure is briefly introduced, and the relative density calculation formula is derived based on the theory of mechanical characterization of the sandwich structure. Using Abaqus/Standard for quasi-static compression numerical simulation, the deformation process and failure modes of the sinusoidal beam sandwich structure under quasi-static compression are mainly presented as the bending of the two beams and the plastic hinge expansion at the peaks and valleys. The influence of the cross-sectional area and the length of the adjacent side of the curved beam on the anti-pressure performance is greater than that of the curved beam amplitude-period ratio. Using Abaqus/Explicit to simulate the SHPB impact test of the sinusoidal beam sandwich structure, it is concluded that the impact resistance of the sinusoidal beam sandwich structure is approximately irrelevant to the strain rate, and the amount between the transmitted wave and the incident wave occurs. The reduction in grades reflects excellent impact and flameproof properties and good energy absorption characteristics.
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Chen, Da-Ming, Y. F. Xu, and W. D. Zhu. "Non-Model-Based Multiple Damage Identification of Beams Under Spatially Dense Vibration Measurement." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-72430.

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An effective non-model-based multiple damage identification method for beams by using a continuously scanning laser Doppler vibrometer (CSLDV) system is presented. Velocity response of a beam along a scan line under sinusoidal excitation is measured by the CSLDV system and a spatially dense operating deflection shape (ODS) of the beam along the scan line is obtained by the demodulation method from velocity response. The ODS of an associated undamaged beam is obtained by using a polynomial with a proper order to fit the ODS from the demodulation method. The curvature of an ODS (CODS) is used to identify abnormality induced by multiple damage. A curvature damage index (CDI) using differences between CODSs associated with ODSs that are obtained by the demodulation method and the polynomial fit is proposed to identify multiple damage. An auxiliary CDI obtained by averaging CDIs at different excitation frequencies is defined to further assist identification of multiple damage. Experiments on three beams with three damage on each beam in the form of three small cuts are conducted. Widths and depths of the three damage are varied from 3 mm to 9 mm with an increment of 3 mm and from 5% of thickness reduction to 15% with an increment of 5%, respectively, and their effects on ODSs, CODSs, and CDIs are investigated. Three frequencies close to natural frequencies of the beams and one randomly selected frequency that is not close to any natural frequencies of the beams are used as sinusoidal excitation frequencies. Each damage is successfully identified near regions with consistently high values of CDIs at different excitation frequencies when the damage is not close to a nodal point of an ODS. The three damage on each beam is successfully identified with the auxiliary CDI by obvious peaks at locations of the three damage.
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Sinha, Alok. "Computing Natural Frequencies and Mode Shapes of an Axially Moving Non-Uniform Beam." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22073.

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Abstract The partial differential equation of motion of an axially moving beam with spatially varying geometric, mass and material properties has been derived. Using the theory of linear time-varying systems, a general algorithm has been developed to compute natural frequencies, mode shapes, and the critical speed for stability. Numerical results from the new method are presented for beams with spatially varying rectangular cross sections with sinusoidal variation in thickness and sine-squared variation in width. They are also compared to those from the Galerkin method. It has been found that critical speed of the beam can be significantly reduced by non-uniformity in a beam’s cross section.
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Allen, Matthew S., Hartono (Anton) Sumali, and David S. Epp. "Restoring Force Surface Analysis of Nonlinear Vibration Data From Micro-Cantilever Beams." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14905.

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The responses of micro-cantilever beams, with lengths ranging from 100-1500 microns, have been found to exhibit nonlinear dynamic characteristics at very low vibration amplitudes and in near vacuum. This work seeks to find a functional form for the nonlinear forces acting on the beams in order to aide in identifying their cause. In this paper, the restoring force surface method is used to non-parametrically identify the nonlinear forces acting on a 200 micron long beam. The beam response to sinusoidal excitation contains as many as 19 significant harmonics within the measurement bandwidth. The nonlinear forces on the beam are found to be oscillatory and to depend on the beam velocity. A piecewise linear curve is fit to the response in order to more easily compare the restoring forces obtained at various amplitudes. The analysis illustrates the utility of the restoring force surface method on a system with complex and highly nonlinear forces.
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Jiao, Pengcheng, Bradley McGraw, An Chen, Julio F. Davalos, and Indrajit Ray. "Flexural-Torsional Buckling of Cantilever Composite Wood I-Beams with Sinusoidal Web Geometry." In Thirteenth ASCE Aerospace Division Conference on Engineering, Science, Construction, and Operations in Challenging Environments, and the 5th NASA/ASCE Workshop On Granular Materials in Space Exploration. Reston, VA: American Society of Civil Engineers, 2012. http://dx.doi.org/10.1061/9780784412190.074.

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Oh, J., S. Poh, M. Ruzzene, and A. Baz. "Vibration Control of Beams Using Electro-Magnetic Damping Treatment." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0558.

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Abstract A new class of structural damping treatments is introduced. This class is the Electro-Magnetic Damping Treatment (EMDT) which relies in its operation on a viscoelastic damping layer sandwiched between two magnetic layers. Interaction between the magnets generates magnetic forces that enhance the compressional damping mechanism of the viscoelastic layer. With proper tuning of the magnetic forces, in response to the structural vibration, undesirable resonances and catastrophic failures can be avoided. The fundamentals and the underlying phenomena associated with the EMDT are investigated theoretically and experimentally. A finite element model is developed to describe the interaction between the dynamics of flexible beams, the viscoelastic damping layer and the magnetic layers. The validity of the developed finite element model is checked experimentally using aluminum beams treated with EMDT patches. The beam/EMDT system is subjected to sinusoidal excitations and its multi-mode response is monitored when the magnetic layers are activated or not. Several control strategies are considered to activate the magnetic layers including simple PD controllers. The performance of the uncontrolled and controlled system is determined at various operating conditions. Comparisons with conventional Passive Constrained Layer Damping (PCLD) treatments emphasize the potential of the EMDT treatment as an effective means for controlling structural vibrations.
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