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Artículos de revistas sobre el tema "Non-linear beam dynamics"

Autor: Grafiati

Publicado: 4 de junio de 2021

Última modificación: 18 de febrero de 2022

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1

Ballaben, Jorge S., Rubens Sampaio, and Marta B. Rosales. "Stochastic dynamics of a non-linear cable–beam system." Journal of the Brazilian Society of Mechanical Sciences and Engineering 38, no. 1 (2015): 307–16. http://dx.doi.org/10.1007/s40430-015-0387-4.

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2

Parseh, Masoumeh, Morteza Dardel, Mohammad Hassan Ghasemi, and Mohammad Hadi Pashaei. "Steady state dynamics of a non-linear beam coupled to a non-linear energy sink." International Journal of Non-Linear Mechanics 79 (March 2016): 48–65. http://dx.doi.org/10.1016/j.ijnonlinmec.2015.11.005.

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3

Yanmeni Wayou, A. N., R. Tchoukuegno, and P. Woafo. "Non-linear dynamics of an elastic beam under moving loads." Journal of Sound and Vibration 273, no. 4-5 (2004): 1101–8. http://dx.doi.org/10.1016/j.jsv.2003.09.040.

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4

Andreaus, U., L. Placidi, and G. Rega. "Soft impact dynamics of a cantilever beam: equivalent SDOF model versus infinite-dimensional system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 10 (2011): 2444–56. http://dx.doi.org/10.1177/0954406211414484.

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Non-smooth dynamics of a cantilever beam subjected to a transverse harmonic force and impacting onto a soft obstacle is studied. Upon formulating the equations of motion of the beam, proper attention is paid to identifying the mechanical properties of an equivalent single-degree-of-freedom (SDOF) piecewise linear impacting model. A multi-degree-of-freedom (MDOF) model of the impacting beam is also derived via standard finite elements. An ‘optimal’ identification curve of the obstacle spring rigidities in the two models is obtained by comparing the relevant pseudo-resonance frequencies. The ide

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5

van de Wouw, N., A. de Kraker, D. H. van Campen, and H. Nijmeijer. "Non-linear dynamics of a stochastically excited beam system with impact." International Journal of Non-Linear Mechanics 38, no. 5 (2003): 767–79. http://dx.doi.org/10.1016/s0020-7462(01)00132-9.

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6

SHARF, I. "GEOMETRICALLY NON-LINEAR BEAM ELEMENT FOR DYNAMICS SIMULATION OF MULTIBODY SYSTEMS." International Journal for Numerical Methods in Engineering 39, no. 5 (1996): 763–86. http://dx.doi.org/10.1002/(sici)1097-0207(19960315)39:5<763::aid-nme879>3.0.co;2-x.

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7

Andreaus, Ugo, Paolo Casini, and Fabrizio Vestroni. "Non-linear dynamics of a cracked cantilever beam under harmonic excitation." International Journal of Non-Linear Mechanics 42, no. 3 (2007): 566–75. http://dx.doi.org/10.1016/j.ijnonlinmec.2006.08.007.

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8

Krysko, A. V., J. Awrejcewicz, S. P. Pavlov, M. V. Zhigalov, and V. A. Krysko. "Chaotic dynamics of the size-dependent non-linear micro-beam model." Communications in Nonlinear Science and Numerical Simulation 50 (September 2017): 16–28. http://dx.doi.org/10.1016/j.cnsns.2017.02.015.

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9

Rysak, Andrzej, and Magdalena Gregorczyk. "Non-linear dynamics of the Villari effect in the presence of a non-homogeneous magnetic field." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 233, no. 4 (2018): 431–40. http://dx.doi.org/10.1177/0959651818813221.

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Investigations of systems with an active magnetostrictive element generally assume the presence of an external homogeneous bias magnetic field. This article, however, presents the results of a study investigating a bimorph magnetostrictive-aluminium beam vibrating in a non-homogeneous bias field. By comparing results obtained under different operating conditions of the system, the combined effect of the non-linear beam stress and the non-homogeneous external magnetic field on the dynamics of the Villari phenomenon is determined. The preliminary results prove that the application of non-linear

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10

Gattulli, Vincenzo, Massimiliano Morandini, and Achille Paolone. "A parametric analytical model for non-linear dynamics in cable-stayed beam." Earthquake Engineering & Structural Dynamics 31, no. 6 (2002): 1281–300. http://dx.doi.org/10.1002/eqe.162.

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11

Afify, M. S., W. M. Moslem, and M. A. Hassouba. "Non-linear dynamics of electron-hole plasma induced by an electron beam." Plasma Research Express 1, no. 3 (2019): 035010. http://dx.doi.org/10.1088/2516-1067/ab3b10.

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12

Okamura, M., Y. Oguri, Y. Takahashi, et al. "Optimization of RFQ vane parameters using a non-linear beam dynamics code." Il Nuovo Cimento A 106, no. 11 (1993): 1537–40. http://dx.doi.org/10.1007/bf02821248.

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13

Misra, Shikha, Sanjay K. Mishra, and P. Brijesh. "Coaxial propagation of Laguerre–Gaussian (LG) and Gaussian beams in a plasma." Laser and Particle Beams 33, no. 1 (2015): 123–33. http://dx.doi.org/10.1017/s0263034615000142.

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AbstractThis paper investigates the non-linear coaxial (or coupled mode) propagation of Laguerre–Gaussian (LG) (in particular L01 mode) and Gaussian electromagnetic (em) beams in a homogeneous plasma characterized by ponderomotive and relativistic non-linearities. The formulation is based on numerical solution of non-linear Schrödinger wave equation under Jeffreys–Wentzel–Kramers–Brillouin approximation, followed by paraxial approach applicable in the vicinity of intensity maximum of the beams. A set of coupled differential equations for spot size (beam width) and phase evolution with space co

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14

Bottasso, Carlo L., and Marco Borri. "Energy preserving/decaying schemes for non-linear beam dynamics using the helicoidal approximation." Computer Methods in Applied Mechanics and Engineering 143, no. 3-4 (1997): 393–415. http://dx.doi.org/10.1016/s0045-7825(96)01161-9.

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15

García-Vallejo, D., H. Sugiyama, and A. A. Shabana. "Finite element analysis of the geometric stiffening effect. Part 2: Non-linear elasticity." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 219, no. 2 (2005): 203–11. http://dx.doi.org/10.1243/146441905x10050.

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In the first part of this paper, the relationship between the number of finite elements used to model the dynamics of rotating beams and the critical speed at which an incorrect solution is obtained when using linear elasticity theory is discussed. The increase in the number of finite elements leads to an increase in the critical speed when linear elasticity is used and no measures are taken, as recommended in the literature, to account for the effect of the coupling between the bending and axial displacements. In this part of the paper, a non-linear finite element model based on the absolute

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16

Haering, William. "Non-Linear Constraints and Stiffness Representations in Simple Flexible-Body Dynamic Beam Formulations." Journal of Vibration and Control 9, no. 8 (2003): 911–29. http://dx.doi.org/10.1177/10775463030098001.

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Abstract: A simple discrete four-degree-of-freedom (lumped parameter) model representing a flexible beam undergoing large overall planar prescribed motion has been developed. It serves as a simple tool to investigate two previously studied problems involving flexible-body beam dynamics, namely those involving bending and membrane stiffness dominated behavior. The tool is used to investigate the requirements to accurately solve these problems using non-linear constraints and a non-linear spring representation. The validity of this model is demonstrated by comparing results to those previously p

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17

Demarie, Giacomo V., Donato Sabia, and Rosario Ceravolo. "Non-Linear Identification of a RC Element Using Time-Frequency Instantaneous Estimators." Key Engineering Materials 413-414 (June 2009): 531–38. http://dx.doi.org/10.4028/www.scientific.net/kem.413-414.531.

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The identification of non-linear systems is an important topic in structural health monitoring of structures undergoing non-stationary behavior. In general, a non-linear or hysteretic response is typical for buildings, bridges, dampers and structural elements not only as a consequence of strong excitations (i. e. earthquake), but also for low to medium loading levels, due to the constitutive behavior of structural elements or joints. This paper focuses on the non-linear identification of a RC beam-column joint, modeled as a SDoF system, subjected to non-stationary loading: the technique used e

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18

Tang, Ai Hua. "Modeling and Validation of MBS Using Joint Force Actuator in ADAMS Car." Advanced Materials Research 482-484 (February 2012): 2257–60. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.2257.

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With the advent of multibody dynamics software (ADAMS) , it has become one of the main simulation techniques to build a multibody system (MBS) in order to evaluate the dynamics performance. The modeling of some component parts such as anti-roll bars and torsion beam rear suspensions is always difficult for the unique structural and non-linear characteristics.A joint force actuator based on multibody dynamics was introduced to represent the component within suspension systems. The kinematics analysis of the torsion beam rear suspension was carried out to validate accuracy and rationality by mea

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19

Friswell, Michael I., S. Faruque Ali, Onur Bilgen, Sondipon Adhikari, Arthur W. Lees, and Grzegorz Litak. "Non-linear piezoelectric vibration energy harvesting from a vertical cantilever beam with tip mass." Journal of Intelligent Material Systems and Structures 23, no. 13 (2012): 1505–21. http://dx.doi.org/10.1177/1045389x12455722.

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A common energy harvesting device uses a piezoelectric patch on a cantilever beam with a tip mass. The usual configuration exploits the linear resonance of the system; this works well for harmonic excitation and when the natural frequency is accurately tuned to the excitation frequency. A new configuration is proposed, consisting of a cantilever beam with a tip mass that is mounted vertically and excited in the transverse direction at its base. This device is highly non-linear with two potential wells for large tip masses, when the beam is buckled. The system dynamics may include multiple solu

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20

Paul, Amlan, and Debabrata Das. "Free vibration behavior of tapered functionally graded material beam in thermal environment considering geometric non-linearity, shear deformability and temperature-dependent thermal conductivity." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 233, no. 7 (2018): 1429–48. http://dx.doi.org/10.1177/1464420718759376.

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An improved mathematical model is presented to investigate the free vibration behavior of post-buckled tapered functionally graded material beam, subjected to uniform temperature rise and steady-state heat conduction. The material properties including the thermal conductivity are considered to be temperature-dependent and an iterative algorithm for solving temperature-dependent steady-state heat conduction equation is presented to get the correct temperature profile. The initial static post-buckling problem is formulated using minimum potential energy principle and the subsequent free vibratio

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21

Al-Qaisia, A. A., M. N. Hamdan, and B. O. Al-Bedoor. "On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass." Shock and Vibration 7, no. 4 (2000): 179–94. http://dx.doi.org/10.1155/2000/937247.

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This paper presents a study on the nonlinear steady state response of a slender beam partially immersed in a fluid and carrying an intermediate mass. The model is developed based on the large deformation theory with the constraint of inextensible beam, which is valid for most engineering structures. The Lagrangian dynamics in conjunction with the assumed mode method is utilized in deriving the non-linear unimodal temporal equation of motion. The distributed and concentrated sinusoidal loads are accounted for in a consistent manner using the assumed mode method. The non-linear equation of motio

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22

Oguri, Y., M. Okamura, T. Hattori, O. Takeda, and K. Satoh. "Non-linear beam dynamics in an RFQ under 3D space charge and image charge effects." Il Nuovo Cimento A 106, no. 11 (1993): 1531–35. http://dx.doi.org/10.1007/bf02821247.

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23

Zhang, Zhi Huan, and Sultan A. Q. Siddiqui. "Active Vibration Suppression Control Algorithm in Gyroscopic System." Advanced Materials Research 139-141 (October 2010): 2490–93. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.2490.

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A new control method for suppressing vibration in a rotating beam system of a helicopter has been presented. The method used a non-linear dynamics equation to compute actual natural frequencies using FFT, not based on nominal natural frequencies of linear dynamics. A design based on linear coupling may not take account of the effect of non-linear coupling in the system, so a conceptual controller design has also been presented, and a detailed control algorithm has been developed. In fact, this is a non-linear dynamics optimization problem. In a gyroscopic system, tuning of the flywheel allows

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24

Wolszczak, Piotr, Grzegorz Litak, and Krystian Lygas. "Analysis of dynamics of a vertical cantilever in rotary coupling to the moving frame with movement limiters." MATEC Web of Conferences 241 (2018): 01021. http://dx.doi.org/10.1051/matecconf/201824101021.

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The efficiency of the mechanical energy harvesting with the use of vibrating elements can be improved by synchronizing stimulation vibrations and own linear frequencies of systems as well as super or sub harmonics induced by non-linear phenomena. The article presents numerical cross-sectional study of the mechanical system. The system consists of an elastic beam set vertically, which the lower end is fixed in the rotary support, and is stimulated to move in the horizontal axis. The upper end of the beam is free but below its level there are bumpers limiting the free rotation of the beam. Numer

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25

Cartmell, M. P., L. Morrish, and A. J. Taylor. "Dynamics of spreader motion in a gantry crane." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 212, no. 2 (1998): 85–105. http://dx.doi.org/10.1243/0954406981521060.

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This paper illustrates the steps necessary to model the dynamics of a model rubber-tyred gantry (RTG) crane as used in container-handling operations. Various modelling criteria are discussed with the emphasis placed on the importance of non-linear coupling between the chosen system coordinates. The machine is treated as three rigid bodies, these being the gantry itself, the trolley (which is constrained to lateral motion across the top beam) and the spreader. Tyre deformations and structural deflections are not considered in this work. The paper culminates in three non-linear ordinary differen

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26

Limpouch, J., G. Lončar, I. G. Lebo, and V. B. Rozanov. "On the dynamics of ponderomotive filamentation of laser beams in a plasma." Laser and Particle Beams 6, no. 2 (1988): 295–304. http://dx.doi.org/10.1017/s0263034600004043.

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The influence of ponderomotive force-induced plasma motion on filamentation is examined, using both linear and non-linear descriptions. Although the time asymptote of the process is identical to the stationary convective amplification of filaments, the dynamics of the plasma response may have a serious impact on the transient behaviour of filamentation. The plasma motion contains large amplitude oscillations of inhomogeneities in the laser beam with maxima that substantially exceed the asymptotic value and temporary growth of the very narrow filaments, which cannot be amplified in the stationa

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27

Kloda, Lukasz, Stefano Lenci, and Jerzy Warminski. "Nonlinear Dynamics of a Planar Hinged-Supported Beam with One End Lumped Mass and Longitudinal Elastic Support." MATEC Web of Conferences 241 (2018): 01016. http://dx.doi.org/10.1051/matecconf/201824101016.

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Nonlinear forced-damped oscillations of a non-slender hinged simply supported beam with mass and spring attached to one end are investigated by mean of a finite element method. The frequency response curves are constructed numerically and the variability of hardening/softening behaviour of frequency response curves due to the lumped mass and axial linear spring stiffness is investigated. Resonant and sub resonant motion of beam midpoint as well as jumps between solution branches are highlighted.

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28

Kornienko, Yu V. "Studying the Non-Linear Dynamics of Resonant O-Type Oscillators with Prolonged Wave-Beam Interaction: A Review." Telecommunications and Radio Engineering 66, no. 8 (2007): 673–714. http://dx.doi.org/10.1615/telecomradeng.v66.i8.10.

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29

Lenci, S., G. Menditto, and A. M. Tarantino. "Homoclinic and heteroclinic bifurcations in the non-linear dynamics of a beam resting on an elastic substrate." International Journal of Non-Linear Mechanics 34, no. 4 (1999): 615–32. http://dx.doi.org/10.1016/s0020-7462(98)00001-8.

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30

Kar, R. C., and S. K. Dwivedy. "Non-linear dynamics of a slender beam carrying a lumped mass with principal parametric and internal resonances." International Journal of Non-Linear Mechanics 34, no. 3 (1999): 515–29. http://dx.doi.org/10.1016/s0020-7462(98)00040-7.

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31

Chen, Si Jia, and Ding Guo Zhang. "Modeling and Vibration Analysis of Hub-Flexible Beam System Carrying a Payload with Rotary Inertia." Advanced Materials Research 308-310 (August 2011): 1865–74. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.1865.

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The rigid-flexible coupling dynamics of a hub-flexible beam system carrying a payload with rotary inertia is presented. Both the transversal deformation and the longitudinal deformation of the flexible beam are considered. And in the total longitudinal deformation the non-linear coupling term, also known as the longitudinal shortening caused by transversal deformation, is considered. The approach of assumed modes is used to describe the deformation of the beam. The rigid-flexible coupling dynamic equations of the system are established via employing the second kind of Lagrange’s equation. Solv

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32

Tang, Ai Hua, Jian Ping Tian, and Xiao Xu Liu. "Kinematics Characteristic Analysis and Structural Parameter Optimization of Twist Beam Rear Suspension." Advanced Materials Research 201-203 (February 2011): 1710–13. http://dx.doi.org/10.4028/www.scientific.net/amr.201-203.1710.

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The multi-body dynamics analysis is an important method to analyze the movement and dynamics characteristics of a car in modern vehicle design process . The twist beam rear suspension which is for rear wheel steering was widely equipped on front engine rear wheel drive vehicles . The modeling of twist beam rear suspensions is always difficult to describe accurately for its unique structural behaviour . First of all , a non-linear method based on multi-body dynamics was used to establish the dynamics model of the twist beam rear suspension system by using the ADAMS/Car . Secondly, the kinematic

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33

Jorgensen, Bert R., and Yung C. Shin. "Dynamics of Spindle-Bearing Systems at High Speeds Including Cutting Load Effects." Journal of Manufacturing Science and Engineering 120, no. 2 (1998): 387–94. http://dx.doi.org/10.1115/1.2830138.

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Increased use of high speed machining creates the need to predict spindle-bearing performance at high speeds. Previous spindle-bearing models simplify either spindle or bearing dynamics to the extent of prohibiting a detailed analysis of a spindle with high speed motion. At high speeds, centrifugal loading in the bearing causes stiffness softening, creating a change in natural frequency. Therefore, spindle modeling requires a comprehensive representation of the dynamics of shafts with complex geometry rotating at high speeds and supported by non-linear bearings. This paper presents a coupled s

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34

Holzegel, Gustav, Jonathan Luk, Jacques Smulevici, and Claude Warnick. "Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space." Communications in Mathematical Physics 374, no. 2 (2019): 1125–78. http://dx.doi.org/10.1007/s00220-019-03601-6.

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Abstract We study the global dynamics of the wave equation, Maxwell’s equation and the linearized Bianchi equations on a fixed anti-de Sitter (AdS) background. Provided dissipative boundary conditions are imposed on the dynamical fields we prove uniform boundedness of the natural energy as well as both degenerate (near the AdS boundary) and non-degenerate integrated decay estimates. Remarkably, the non-degenerate estimates “lose a derivative”. We relate this loss to a trapping phenomenon near the AdS boundary, which itself originates from the properties of (approximately) gliding rays near the

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35

Richa, Munish Aggarwal, Harish Kumar, Ranju Mahajan, Navdeep Singh Arora, and Tarsem Singh Gill. "Relativistic ponderomotive self-focusing of quadruple Gaussian laser beam in cold quantum plasma." Laser and Particle Beams 36, no. 3 (2018): 353–58. http://dx.doi.org/10.1017/s026303461800023x.

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AbstractIn the present paper, we have investigated self-focusing of the quadruple Gaussian laser beam in underdense cold quantum plasma. The non-linearity chosen is associated with the relativistic mass effect that arises due to quiver motion of electron and electron density perturbation caused by ponderomotive force. The non-linearity modifies the plasma frequency in the dielectric function and hence the refractive index of the medium. The focusing/defocusing of the quadruple laser depends on the refractive index of the medium. We have set up non-linear differential equation that controls the

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36

Peligrad, A. A., E. Zhou, D. Morton, and L. Li. "System identification and predictive control of laser marking of ceramic materials using artificial neural networks." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 216, no. 2 (2002): 181–90. http://dx.doi.org/10.1243/0959651021541543.

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Laser marking of ceramic materials is a multivariable non-linear process. Real-time control of the process requires the understanding of system dynamics and parameter interaction. In this work, direct inverse control (DIC) and non-linear predictive control (NPC) based on artificial neural networks were applied. The output variable considered for the laser clay tile-marking process was melt pool temperature. The input quantities investigated were laser power and traverse speed. The results show that the NPC accomplished a better reference tracking than the DIC. It was also found that the beam v

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37

Hain, S., and P. Mulser. "Fast ignitor: Fluid dynamics of channel formation and laser beam propagation." Laser and Particle Beams 15, no. 4 (1997): 541–56. http://dx.doi.org/10.1017/s0263034600011125.

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The concept of fast ignitor is intimately connected with the fundamental phenomenon of ultra-intense light beam propagation through dense matter in which kinetic effects combine with radiation pressure dominated hydrodynamics to form a complex scenario of extremely non-linear physics. In this paper, the fluid dynamic aspect of channel formation in a highly over-dense plasma is studied and possible attenuation mechanisms of the propagating pulse are evaluated in one dimension. Under the assumption that mass ablation reaches a quasistationary state, the radiation-assisted ablation pressure, the

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38

Long, K. A., and N. A. Tahir. "Plasma induced energy deposition and radiation transport effects in ion beam heated plane metal targets and analytic solutions of the non-linear radiation conduction equation." Laser and Particle Beams 4, no. 2 (1986): 287–313. http://dx.doi.org/10.1017/s026303460000183x.

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The effects of microscopic energy deposition in hot, dense plasmas and radiation transport in plasmas, on the interaction of ion beams with plane metal targets are investigated in this paper. In order to do this we analyze the plasma dynamics of ablatively accelerated plane metal foils. The physical analysis of these results is achieved by the derivation of solutions of the non-linear radiation conduction equation with boundary temperatures which increase in time. We illustrate, by means of numerical simulations, how range shortening due to plasma effects such as increased energy loss to excit

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39

Dwivedy, S. K., and R. C. Kar. "Non-linear dynamics of a slender beam carrying a lumped mass under principal parametric resonance with three-mode interactions." International Journal of Non-Linear Mechanics 36, no. 6 (2001): 927–45. http://dx.doi.org/10.1016/s0020-7462(00)00056-1.

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40

Jackson, Nathan, Luis A. Rodriguez, and Rahul Adhikari. "Wide Bandwidth Vibration Energy Harvester with Embedded Transverse Movable Mass." Sensors 21, no. 16 (2021): 5517. http://dx.doi.org/10.3390/s21165517.

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One of the biggest challenges associated with vibration energy harvesters is their limited bandwidth, which reduces their effectiveness when utilized for Internet of Things applications. This paper presents a novel method of increasing the bandwidth of a cantilever beam by using an embedded transverse out-of-plane movable mass, which continuously changes the resonant frequency due to mass change and non-linear dynamic impact forces. The concept was investigated through experimentation of a movable mass, in the form of a solid sphere, that was embedded within a stationary proof mass with hollow

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41

Tang, Ai Hua, Ou Jian, and Guo Hong Deng. "Modeling and Kinematics Characteristic Analysis of Twist Beam Rear Suspension Using ADAMS/Car." Advanced Materials Research 139-141 (October 2010): 1056–59. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.1056.

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The multi-body system analysis has become one of the main simulation techniques to calculate the kinematics characteristics of a car suspension under wheel travel or to build a virtual prototype model of a vehicle in order to predict the vehicle dynamics performance. The modeling of twist beam rear suspensions is always difficult for the unique structural behavior of this component. A non-linear method based on multi-body dynamics software (ADAMS/Car) was used to represent the twist beam within the suspension system. The kinematics characteristic analysis of the rear suspension was realized by

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42

Li, Zhong-Xiang, Chun Hu, De-Zhi Zheng, and Shang-Chun Fan. "Synchronization Theory-Based Analysis of Coupled Vibrations of Dual-Tube Coriolis Mass Flowmeters." Sensors 20, no. 21 (2020): 6340. http://dx.doi.org/10.3390/s20216340.

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Certain nonlinear influences are found in dual-tube Coriolis mass flowmeters (CMFs). According to experimentation, a nonlinearity dominated by frequency-doubling signals can be observed in the measuring signal. In general, such nonlinear effects are simplified as linear systems or neglected through processing. In this paper, a simplified model has been constructed for dual-beam CMFs based on the theory of nonlinear dynamics, with the spring–damper system as the medium for the dual-beam coupled vibrations. Next, the dynamics differential equation of the coupled vibrations is set up on the basis

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43

Goeller, Adrien, Jean-Luc Dion, Ronan Le Breton, and Thierry Soriano. "Kinematic SAMI : a new real-time multi-sensor data assimilation strategy for nonlinear modal identification." Mechanics & Industry 21, no. 4 (2020): 413. http://dx.doi.org/10.1051/meca/2020035.

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In many engineering applications, the vibration analysis of a structure requires the set up of a large number of sensors. These studies are mostly performed in post processing and based on linear modal analysis. However, many studied devices highlight that modal parameters depend on the vibration level non linearities and are performed with sensors as accelerometers that modify the dynamics of the device. This work proposes a significant evolution of modal testing based on the real time identification of non linear parameters (natural frequencies and damping) tracked with a linear modal basis.

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Statman, David, and James C. Lombardi. "Memory Effects in Photorefractive Materials." Journal of Nonlinear Optical Physics & Materials 07, no. 01 (1998): 47–60. http://dx.doi.org/10.1142/s0218863598000053.

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We have determined that the dynamics of the signal in photorefractive two beam coupling can be described by a memory effect in the writing of the space charge field. Experimental and computational results confirm that this time dependence is dependent on the history of interference pattern responsible for the space charge field. From this memory effect it is shown that if the input signal has a sinusoidal component much smaller than its DC component, the sinusoidal component of the two beam coupled signal is shifted by the response time of the photorefractive medium. We have demonstrated, both

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45

AWREJCEWICZ, J., A. V. KRYSKO, and V. SOLDATOV. "ON THE WAVELET TRANSFORM APPLICATION TO A STUDY OF CHAOTIC VIBRATIONS OF THE INFINITE LENGTH FLEXIBLE PANELS DRIVEN LONGITUDINALLY." International Journal of Bifurcation and Chaos 19, no. 10 (2009): 3347–71. http://dx.doi.org/10.1142/s0218127409024803.

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Both classical Fourier analysis and continuous wavelets transformation are applied to study non-linear vibrations of infinitely long flexible panels subject to longitudinal sign-changeable external load actions. First the governing PDEs are derived and then the Bubnov–Galerkin method is applied to yield 2N first order ODEs. The further used Lyapunov exponent computation is described. Transition scenarios from regular to chaotic dynamics of the being investigated plate strip are analyzed using different wavelets, and their suitability and advantages/disadvantages to nonlinear dynamics monitorin

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46

Myslitskaya, Natalia A., Anna V. Tcibulnikova, Ilia G. Samusev, Vasiliy A. Slezhkin, and Valeriy V. Bryukhanov. "Heat wave dynamics in frozen water droplets with eosin molecules under the femtosecond excitation of a supercontinuum." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 23, no. 2 (2021): 260–72. http://dx.doi.org/10.17308/kcmf.2021.23/3437.

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In this study, we considered thermal processes in liquid and frozen water droplets with added dye molecules and metal nanoparticles at the moment of supercontinuum generation. We studied optical non-linear processes in a water droplet with a diameter of 1.92 mm, cooled (+2 °C) and frozen to -17 °C, with eosin molecules and ablative silver nanoparticles upon femtosecond laser treatment.When we exposed a cooled water droplet and a piece of ice containing eosin molecules and ablative silver nanoparticles to a femtosecond laser beam (l = 1030 nm), we recorded two-photon fluorescence, enhanced by p

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47

Júnior, Fernando Sarracini, and Alberto Luiz Serpa. "Reduced Model inH∞Vibration Control Using Linear Matrix Inequalities." Shock and Vibration 13, no. 4-5 (2006): 469–84. http://dx.doi.org/10.1155/2006/847648.

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Many practical problems in structural dynamics are modeled with a high number of degrees of freedom in order to properly describe the structure. A formulation to design robust controllers is theH∞technique where the controller has the same order of the mathematical model and this becomes unpractical and infeasible for most practical problems where the number of degrees of freedom is not small. One way to overcome this difficulty is to employ a model reduction technique, and design a reduced order controller based on this reduced model. In this case, it is required that the reduced controller e

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48

Nitzsche, F., and D. G. Opoku. "Acoustic validation of a new code using particle wake aerodynamics and geometrically-exact beam structural dynamics." Aeronautical Journal 109, no. 1096 (2005): 257–67. http://dx.doi.org/10.1017/s0001924000000713.

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Abstract This paper describes the validation of a new code for prediction both aeroacoustic and aeroelastic behaviour of hingeless rotors. The structural component is based on a non-linear beam element model considering small strains and finite rotations, which uses a mixed variational intrinsic formulation. The aerodynamic component is built on a loworder panel method incorporating a vortex particle free-wake model. The aerodynamic and structural components are combined to form a closely coupled aeroelastic code that solves in the time-domain. The loading and thickness noise terms for the aer

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49

Khalid, Aasma, Muhammad Nawaz Naeem, Zafar Ullah, et al. "Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells." Mathematics 7, no. 6 (2019): 508. http://dx.doi.org/10.3390/math7060508.

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This paper is devoted to the study of the Cubic B-splines to find the numerical solution of linear and non-linear 8th order BVPs that arises in the study of astrophysics, magnetic fields, astronomy, beam theory, cylindrical shells, hydrodynamics and hydro-magnetic stability, engineering, applied physics, fluid dynamics, and applied mathematics. The recommended method transforms the boundary problem to a system of linear equations. The algorithm we are going to develop in this paper is not only simply the approximation solution of the 8th order BVPs using Cubic-B spline but it also describes th

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50

TAHIR, N. A., S. UDREA, C. DEUTSCH, et al. "Target heating in high-energy-density matter experiments at the proposed GSI FAIR facility: Non-linear bunch rotation in SIS100 and optimization of spot size and pulse length." Laser and Particle Beams 22, no. 4 (2004): 485–93. http://dx.doi.org/10.1017/s0263034604040145.

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The Gesellschaft für Schwerionenforschung (GSI) Darmstadt has been approved to build a new powerful facility named FAIR (Facility for Antiprotons and Ion Research) which involves the construction of a new synchrotron ring SIS100. In this paper, we will report on the results of a parameter study that has been carried out to estimate the minimum pulse lengths and the maximum peak powers achievable, using bunch rotation RF gymnastic-including nonlinearities of the RF gap voltage in SIS100, using a longitudinal dynamics particle in cell (PIC) code, ESME. These calculations have shown that a pulse

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