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Journal articles on the topic 'Equation of beam movement'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Al Khazraji, Shatha Dhia. "COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM." Journal of Engineering 16, no. 02 (2010): 5263–82. http://dx.doi.org/10.31026/j.eng.2010.02.36.

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This study is concerned with the derivation of differential equation of motion for the free coupled vertical – torsional and lateral vibration of opened thin-walled curved beams. The curved beam to be considered in this study is of isotropic opened thin – walled (I) section with equal top and bottom flanges. The derivation depends on Hamilton's principle which required finding the potential and kinetic energy of the curved beam section due to internal stresses and all types of movements (Vertical,Torsional and Lateral) .The effect of restrained warping displacement is also considered in this s

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2

Zhang, Zhi Xin, and Zhen Dong Hu. "An Analysis of the Lateral Dynamic Response of an Axially Moving Cantilever Beam under a Moving Mass." Applied Mechanics and Materials 215-216 (November 2012): 934–40. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.934.

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From the view of flexible multibody dynamics, this paper considers not only Euler-Bernoulli beam assumption but also the effects of rotary inertia and beam’s inner tension, the equation of motion and associated boundary conditions of the dynamic model are derived by using the extended Hamilton’s principle. Converting the varying-time equation into a varying-coefficient differential equation in fixed region by substituting argument. And truncating the equation to a set of varying-time ordinary equations expressed by modal coordinates based on Assumption Modal Method and Galerkin Discrete Method

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3

Ying, Hao, and Gao Minglei. "Traverse Vibration of Axially Moving Laminated SMA Beam considering Random Perturbation." Shock and Vibration 2019 (April 10, 2019): 1–10. http://dx.doi.org/10.1155/2019/6341289.

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The nonlinear random vibration of axially moving shape memory alloy (SMA) laminated beam under transverse loads is investigated. Considering the effects of axial movement and random perturbation, the dynamic equation of the SMA laminated beam is established by means of physical equation, force balance conditions, deformation compatibility equation, and the constitutive relation by polynomial function. The transverse vibration differential equation of axially moving SMA laminated beam with two simply-supported edges is obtained through the Galerkin method. The amplitude-frequency response equat

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Karpov, Vladimir, Evgeny Kobelev, and Aleksandr Panin. "APPLICATION OF ANALYTICAL SOLUTIONS FOR BENDING BEAMS IN THE METHOD OF MOVEMENT." Architecture and Engineering 6, no. 4 (2021): 42–53. http://dx.doi.org/10.23968/2500-0055-2021-6-4-42-53.

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Introduction: Usually, to analyze statically indeterminate rod systems, the classical displacement method and preprepared tables for two types of rods of the main system are used. A mathematically correct representation of local loads with the use of generalized functions makes it possible to find an accurate solution of the differential equation for the equilibrium of a beam exposed to an arbitrary transverse load. Purpose of the study: We aimed to obtain analytical expressions for functions of deflection, rotation angles, transverse forces, and bending moments depending on four types of loca

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Feng, Guo Rui, Jing Zheng, Ya Feng Ren, Cong Ming Zhong, and Li Xun Kang. "Mechanical Model and Analysis on Movement of Rock Strata between Coal Seams in Pillar Upward Mining of Left-Over Coal." Applied Mechanics and Materials 58-60 (June 2011): 393–98. http://dx.doi.org/10.4028/www.scientific.net/amm.58-60.393.

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Work out control measures for pillar upward mining of left-over coal, in view of coal floor movement, this paper analyzes theoretical foundation and mechanical properties of mechanical model on coal floor movement of rock strata between coal seams in pillar upward mining of left-over coal and presents a simplified corresponding mechanical condition. Taking into the relation between layer movement and time consideration, the PTh model is used to show its rheological properties. By using a two-dimension model, mechanical model of coal floor movement is set up and both ends of cantilever beam are

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6

Ishak, ERTUGRUL. "Finite Element Analysis of Micro Beam in a MEMS-Based Microfluidic Channel." JOURNAL OF SCIENTIFIC, TECHNOLOGY AND ENGINEERING RESEARCH 1, no. 2 (2020): 40–44. https://doi.org/10.5281/zenodo.4289264.

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<strong><em>Abstract</em></strong> <em>It is well known that the physical properties of a micro beam are largely dependent on the fluid and micro channels in which the bam is immersed. In this study, the finite element analysis of the micro beam within the microfluidic channel based on MEMS (Micro-Electro-Mechanical Systems) is aimed to be made in detail. These analyzes include von Mises stress, pressure quantities, velocities, and displacements during movement. Using the Euler-Bernoulli equation for the beam, a micro-beam fixed in a fluid is modeled and analyzed. Unstable Stokes equations are

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7

Yudenko, Dmytro. "TUNNEL REACTION TO GROUND MOVEMENT USING A SIMPLIFIED MODEL." Geoengineering, no. 7 (December 5, 2022): 23–29. http://dx.doi.org/10.20535/2707-2096.7.2022.264271.

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Purpose: the analysis is performed by modal superposition of the response of a simplified model containing connected bending and shear beams supported by Winkler-type springs. Objective: to present a simplified model using coupled Bernoulli and shear beams supported by Winkler-type springs for the systematic identification of tunnels subject to earthquake-induced ground motions. A model formulation is introduced and closed-form solutions for the modal characteristic equation and mode shape are derived. Research methods: the formulation of the model is introduced and closed-form sol

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8

Słota, Damian, Edyta Hetmaniok, Roman Wituła, Krzysztof Gromysz, and Tomasz Trawiński. "Homotopy Approach for Integrodifferential Equations." Mathematics 7, no. 10 (2019): 904. http://dx.doi.org/10.3390/math7100904.

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In this paper, we present the application of the homotopy analysis method for solving integrodifferential equations. In this method, a series is created, the successive elements of which are determined by calculating the appropriate integral of the previous element. In this elaboration, we prove that, if this series is convergent, then its sum is the solution of the objective equation. We formulate and prove the sufficient condition of this convergence, and we give also the estimation of error of an approximate solution obtained by taking the partial sum of the considered series. Moreover, we

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9

Safarov, Nazirjon, Akbar Abrorov, and Laziz Abdullaev. "Dynamic analysis of physical and mechanical forces acting on the needle of a shoe sewing machine in the process of sewing leather." Journal of Physics: Conference Series 2573, no. 1 (2023): 012036. http://dx.doi.org/10.1088/1742-6596/2573/1/012036.

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Abstract The article covers thermal treatment of the working surface of the needle of shoe sewing machines with laser beams. The degree of influence of mode factors on the quality of sewing needles treated with laser beams has been theoretically studied. A mathematical model for processing a sewing needle with a laser beam, which establishes the relationship between mode factors and the quality of the working part of the needle has been developed. The model allows evaluating the influence of each factor on the quality of the needle. An equation showing that the planetary and vertical movement

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10

Lv, Wenyu, Kai Guo, Jianhao Yu, Xufeng Du, and Kun Feng. "Surrounding Rock Movement of Steeply Dipping Coal Seam Using Backfill Mining." Shock and Vibration 2021 (May 11, 2021): 1–17. http://dx.doi.org/10.1155/2021/5574563.

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The movement of the overlying strata in steeply dipping coal seams is complex, and the deformation of roof rock beam is obvious. In general, the backfill mining method can improve the stability of the surrounding rock effectively. In this study, the 645 working face of the tested mine is used as a prototype to establish the mechanical model of the inclined roof beam using the sloping flexible shield support backfilling method in a steeply dipping coal seam, and the deflection equation is derived to obtain the roof damage structure and the maximum deflection position of the roof beam. Finally,

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11

Mohammed, Taha Yassin, and Taha Othman Tahseen. "Dynamic behavior of pin-free beam with torsional spring and hub at pinned end." Global Journal of Engineering and Technology Advances 18, no. 2 (2024): 149–64. https://doi.org/10.5281/zenodo.10947978.

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This paper described the free vibration of a Euler-Bernoulli beam and discovered the first five dimensionless natural frequencies and mode shapes of motion for the pin-free beam model with a helical spring and rotating mass on the pinned side of the beam. The effect of changing the dimensionless torsional stiffness ratios was investigated, as was the effect of changing the dimensionless rotational inertia torque ratios Concerning the vibration properties of the beam. The mathematical equations that regulate the pin-free beam model were constructed using the exact analytical solution, establish

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12

Lu, F., D. Kennedy, F. W. Williams, and J. H. Lin. "Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads." Shock and Vibration 16, no. 3 (2009): 291–305. http://dx.doi.org/10.1155/2009/927410.

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An efficient and accurate FEM based method is proposed for studying non-stationary random vibration of structures subjected to moving loads. The loads are assumed to be a stationary process with constant mean value. The non-stationary power spectral densities (PSD) and the time dependent standard deviations of dynamic response are derived by using the pseudo excitation method (PEM) to transform this random excitation problem into a deterministic harmonic excitation one. The precise integration method (PIM) is extended to solve the equation of motion of beams under moving harmonic loads by enha

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13

Ghandi, Elham, and Ahmed Ali Akbari Rasa. "Analytical Investigation of the Dynamic Response of a Timoshenko Thin-Walled Beam with Asymmetric Cross Section Under Deterministic Loads." Open Civil Engineering Journal 11, no. 1 (2017): 802–21. http://dx.doi.org/10.2174/1874149501711010802.

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Inroduction: The objective of the present paper is to analyze dynamic response of the Timoshenko thin-walled beam with coupled bending and torsional vibrations under deterministic loads. The governing differential equations were obtained by using Hamilton’s principle. The Timoshenko beam theory was employed and the effects of shear deformations, Rotary inertia and warping stiffness were included in the present formulations. Dynamic features of underlined beam are obtained using free vibration analysis. Methods: For this purpose, the dynamic stiffness matrix method is used. Application of exact

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14

Mohammed Taha Yassin and Tahseen Taha Othman. "Dynamic behavior of pin-free beam with torsional spring and hub at pinned end." Global Journal of Engineering and Technology Advances 18, no. 2 (2024): 149–64. http://dx.doi.org/10.30574/gjeta.2024.18.2.0022.

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This paper described the free vibration of a Euler-Bernoulli beam and discovered the first five dimensionless natural frequencies and mode shapes of motion for the pin-free beam model with a helical spring and rotating mass on the pinned side of the beam. The effect of changing the dimensionless torsional stiffness ratios was investigated, as was the effect of changing the dimensionless rotational inertia torque ratios Concerning the vibration properties of the beam. The mathematical equations that regulate the pin-free beam model were constructed using the exact analytical solution, establish

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15

Bondar, Olha, and Olexandr Puzyrov. "ON EXACT SOLUTIONS OF THE EQUATIONS OF THE AXIS AND ANGLEOF CROSS SECTION OF AN ELASTIC BEAM." Technical Sciences and Technologies, no. 2(32) (2023): 88–94. http://dx.doi.org/10.25140/2411-5363-2023-2(32)-88-94.

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Calculation of elastic structures for strength and stiffness is important for their safe operation. The need for calculations is caused by structural deformations under the influence of external forces or temperature.The objects of our research are the equation of the axis of an elastic beam during its flat bending, as well as the equation of the angle of rotation of the beam section. These equations are differential. A certain complexity of their solution led to the simplification of equations in classical sources of information. Approximate solutions of these equations are considered there.B

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16

Vasyl, Olshanskiy, Burlaka Volodymyr, and Slipchenko Maksym. "PULSE BENDED BEAM WITH BINARY BOUNDARY CONDITIONS." Vibrations in engineering and technology, no. 4(95) (November 20, 2019): 16–23. http://dx.doi.org/10.37128/2306-8744-2019-4-2.

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A theoretical study of the movement of a beam with binary boundary conditions at a short-term pulsed load is carried out in the article. The non-stationary oscillations of the beam, caused by short-term force loading, are evenly distributed along its length. Beam movement is considered in two stages. It is assumed that the conditions for fixing the ends of the beam are associated with the direction (sign) of their rotation when the beam is bending. It is assumed that under the action of the load, the edges of the beam are rigidly clamped, that is, the angles of their rotation are equal to zero

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17

Zhong, Jize, and Zili Xu. "A reduced mesh movement method based on pseudo elastic solid for fluid–structure interaction." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 6 (2017): 973–86. http://dx.doi.org/10.1177/0954406217700177.

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A reduced mesh movement method based on pseudo elastic solid is developed and applied in fluid–structure interaction problems in this paper. The flow mesh domain is assumed to be a pseudo elastic solid. The vibration equation for the structure and the pseudo elastic solid together is derived by applying the displacement continuity condition on the fluid–structure interface. Considering that the actual fluid–structure coupled vibration for structures often appears to be associated with low-order modes, the nodal displacements for the structure and the flow mesh can be computed using the modal s

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18

Hamza Guenfoud, Hassina Ziou, Mohamed Himeur, and Mohamed Guenfoud. "Analyses of a composite functionally graded material beam with a new transverse shear deformation function." Journal of Applied Engineering Science & Technology 2, no. 2 (2016): 9. http://dx.doi.org/10.69717/jaest.v2.i2.43.

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In the present paper, we offer a higher-order shear deformation theory for bending of functionally graded beam. A new polynomial shear function is used which satisfies the stress-free boundary conditions (exact boundary conditions on the stress) at both, top and bottom surfaces of the beam. Hence, the shear correction factor is not necessary. Additionally, the present theory has strong similarities with Timoshenko beam theory in some concepts such as equations of movement, boundary conditions and stress resultant expressions. The governing equations and boundary conditions are derived from the

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19

CANDELIER, FABIEN, FREDERIC BOYER, and ALBAN LEROYER. "Three-dimensional extension of Lighthill's large-amplitude elongated-body theory of fish locomotion." Journal of Fluid Mechanics 674 (March 11, 2011): 196–226. http://dx.doi.org/10.1017/s002211201000649x.

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The goal of this paper is to derive expressions for the pressure forces and moments acting on an elongated body swimming in a quiescent fluid. The body is modelled as an inextensible and unshearable (Kirchhoff) beam, whose cross-sections are elliptic, undergoing prescribed deformations, consisting of yaw and pitch bending. The surrounding fluid is assumed to be inviscid, and irrotational everywhere, except in a thin vortical wake. The Laplace equation and the corresponding Neumann boundary conditions are first written in terms of the body coordinates of a beam treating the body as a fixed surf

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20

Liu, Jun, and Jiang Zhu. "Design Research on Working Mechanism of Beam Pumping Unit." Applied Mechanics and Materials 37-38 (November 2010): 340–43. http://dx.doi.org/10.4028/www.scientific.net/amm.37-38.340.

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Based on the unique geometry and mechanical movement of beam pumping unit, this paper presented a simple swing equation and computed motorial parameter, meanwhile under the conditions of the static load and inertial load of the polished-rod of a conventional pumping unit, it also presented an equivalent dynamic model of the pumping unit system and the type-curves of net torque of the crankshaft with the characteristic of inertial counterbalance having been computed, the model can provide a theoretical base for study on the other transient working parameters of beam pumping unit. Being satisfie

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21

Nguyen Thai, Dung, Phung Van Minh, Cuong Phan Hoang, Tam Ta Duc, Nhung Nguyen Thi Cam, and Dung Nguyen Thi. "Bending of Symmetric Sandwich FGM Beams with Shear Connectors." Mathematical Problems in Engineering 2021 (July 7, 2021): 1–15. http://dx.doi.org/10.1155/2021/7596300.

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This paper carries out the static bending analysis of symmetric three-layer functionally graded sandwich beams, in which each layer is made from different functionally graded materials, and they are connected by shear connectors due to sliding movement. The finite element formulations are based on Timoshenko’s first-order shear deformation beam theory (FSDT) and the finite element method to establish the equilibrium equation of beams. The calculation program is coded in the MATLAB environment, and then verification examples are given out to compare the numerical data of present work with those

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22

Tongov, Manahil. "INFLUENCE OF THE ANODE AND WEHNELT VOLTAGE ON THE CROSSOVER POSITION IN THE ELECTRON BEAM WELDING." ENVIRONMENT. TECHNOLOGIES. RESOURCES. Proceedings of the International Scientific and Practical Conference 3 (June 20, 2019): 235. http://dx.doi.org/10.17770/etr2019vol3.4183.

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Through the numerical modelling methods, the influence of the wehnelt voltage anode voltage on the crossover position of the electron beam welding (EBW) was monitored and analysed. The finite element method (FEM) is used to obtain the simulation results. The formation of the electron beam in the electrostatic part of an electron optic system (EOS) is described by solving the electrostatic task. To obtain the current emitted from cathode, electrical and thermal tasks are solved in the cathode node and Richardson-Dushman equation is used with Schottky correction. By using the results of the elec

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23

Khnaijar, A., and R. Benamar. "A Discrete Model for Nonlinear Vibration of Beams Resting on Various Types of Elastic Foundations." Advances in Acoustics and Vibration 2017 (March 15, 2017): 1–25. http://dx.doi.org/10.1155/2017/4740851.

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This paper presents a discrete physical model to approach the problem of nonlinear vibrations of beams resting on elastic foundations. The model consists of a beam made of several small bars, evenly spaced. The bending stiffness is modeled by spiral springs, and the Winkler soil stiffness is modeled using linear vertical springs. Concentrated masses, presenting the inertia of the beam, are located at the bar ends. Finally, the nonlinear effect is presented by the axial forces in the bars, assumed to behave as longitudinal springs, due to the change in their length induced by the Pythagorean Th

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24

Freundlich, Jan. "Vibrations of a Simply Supported Beam with a Fractional Viscoelastic Material Model – Supports Movement Excitation." Shock and Vibration 20, no. 6 (2013): 1103–12. http://dx.doi.org/10.1155/2013/126735.

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The paper presents vibration analysis of a simply supported beam with a fractional order viscoelastic material model. The Bernoulli-Euler beam model is considered. The beam is excited by the supports movement. The Riemann – Liouville fractional derivative of order 0 α &les; 1 is applied. In the first stage, the steady-state vibrations of the beam are analyzed and therefore the Riemann – Liouville fractional derivative with lower terminal at −∞ is assumed. This assumption simplifies solution of the fractional differential equations and enables us to directly obtain amplitude-frequency chara

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25

Koto, J., Efi Afrizal, and Wahid M.A. "Application of Euler Method on Ice Sheet Buckling." Journal of Ocean, Mechanical and Aerospace -science and engineering- (JOMAse) 55, no. 1 (2018): 11–16. https://doi.org/10.36842/jomase.v55i1.96.

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Bulbous bow ship economically has advantage during sailing in open water due to lower resistance compared with an ice bow. On the other hand, the movement of the ship gradually give load to the ice sheet, along with that, the ice sheet will react in proportion to the load of the ship. Therefore the bulbous bow ship has higher ice resistance. This paper discusses the phenomena of ice sheet buckling due bulbous bow of ice ship. The ice sheet buckling was analyzed using Finite Element Method based on Euler method. The Euler method was described from general deflection equation for a beam.

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26

Mamaeva, S. N., N. V. Egorov, B. V. Yakovlev, A. N. Pavlov, N. A. Nikolaevа, and G. V. Maksimov. "Mathematical modelling of the emission characteristics of a field electron cathode in a scanning electron microscope under biosampling conditions." Vestnik of the North-Eastern Federal University 21, no. 1 (2024): 70–80. http://dx.doi.org/10.25587/2222-5404-2024-21-1-70-80.

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Currently, the use of electron microscopes in medicine is developing intensively, including scanning electron microscopes (SEM), which are designed to solve a huge number of problems in various fields with a wide range of electron accelerating voltages and electron beam energies. The development of an SEM with certain emission characteristics, with a range of lower beam energies for the study of biological samples, is an urgent task because modifying the SEM to solve problems in medicine, for example, would make it possible to obtain higher-quality images of biospecimens for diagnostics and mo

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27

Zhang, Weicun, Qing Li, Yuzhen Zhang, Ziyi Lu, and Cheng Nian. "Weighted multiple model adaptive boundary control for a flexible manipulator." Science Progress 103, no. 1 (2019): 003685041988646. http://dx.doi.org/10.1177/0036850419886468.

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In this article, a weighted multiple model adaptive boundary control scheme is proposed for a flexible manipulator with unknown large parameter uncertainties. First, the uncertainties are approximatively covered by a finite number of constant models. Second, based on Euler–Bernoulli beam theory and Hamilton principle, the distributed parameter model of the flexible manipulator is constructed in terms of partial differential equation for each local constant model. Correspondingly, local boundary controllers are designed to control the manipulator movement and suppress its vibration for each par

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28

Schmitke, Calvin D., and D. J. Laurie Kennedy. "Effective lengths of laterally continuous, laterally unsupported steel beams." Canadian Journal of Civil Engineering 12, no. 3 (1985): 603–16. http://dx.doi.org/10.1139/l85-068.

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Laterally unsupported steel beams of sufficient length may fail by elastic or inelastic lateral–torsional buckling. The fundamental equations governing elastic lateral–torsional buckling, taking into account such parameters as the shape of the bending moment diagram, the level of application of the load, and the effect of end restraints to lateral movement and to twist, are reviewed. Provisions in the current CSA Standard CAN3-S16.1-M84 are discussed. The methods currently available for dealing with the interactive lateral–torsional buckling of laterally continuous beams are evaluated statisti

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29

BARRETT, JOHN W., CHRISTOPH SCHWAB, and ENDRE SÜLI. "EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS." Mathematical Models and Methods in Applied Sciences 15, no. 06 (2005): 939–83. http://dx.doi.org/10.1142/s0218202505000625.

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We study the existence of global-in-time weak solutions to a coupled microscopic–macroscopic bead-spring model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains. The model consists of the unsteady incompressible Navier–Stokes equations in a bounded domain Ω ⊂ ℝd, d = 2, 3, for the velocity and the pressure of the fluid, with an extra-stress tensor as right-hand side in the momentum equation. The extra-stress tensor stems from the random movement of the polymer chains and is defined through the associated probability density functi

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30

Peng, Yong, and Xiao Xu Bai. "KED Modeling of PLS Mechanism." Applied Mechanics and Materials 268-270 (December 2012): 1319–26. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.1319.

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For the super-size and large flexibility of Pipe Lay-down System, considering the influence on the mechanism from elastic deformation and mechanical vibration during the movements, the kineto-elastodynamics model is established by using the KED theory which is based on the analysis of kinematics. The PLS mechanism is divided into several finite elements. Dynamic equations of beam element are established in the local coordinate by using Lagrange’s equation. In the process of changing from local coordinate into global coordinate, no longer considering the instantaneous structure assumes. In cons

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31

Gao, Chong-yi, Guo-jun Du, Yan Feng, and Jian-xiong Li. "Nonlinear Vibration Analysis of Moving Strip with Inertial Boundary Condition." Mathematical Problems in Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/216197.

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According to the movement mechanism of strip and rollers in tandem mill, the strip between two stands was simplified to axially moving Euler beam and the rollers were simplified to the inertial component on the fixed axis rotation, namely, inertial boundary. Nonlinear vibration mechanical model of Euler beam with inertial boundary conditions was established. The transverse and longitudinal motion equations were derived based on Hamilton’s principle. Kantorovich averaging method was employed to discretize the motion equations and the inertial boundary equations, and the solutions were obtained

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Kisilowski, Jerzy, and Rafał Kowalik. "Numerical Testing of Switch Point Dynamics—A Curved Beam with a Variable Cross-Section." Materials 13, no. 3 (2020): 701. http://dx.doi.org/10.3390/ma13030701.

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The article presents mathematical considerations on the dynamics of the springing switch point being an element of the railway junction. Due to the structure of the switch point, mathematical analysis was divided into two stages: The first stage refers to the analysis of the dynamics of the switch point as a beam of variable rectilinear stiffness to which three forces (coming from three closures of switch drives) placed in the initial section of the switch point are applied. The next stage of the analysis concerns an identical beam, but curved, with a variable cross-section. In both cases, the

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33

Koto, J., Efi Afrizal, and Wahid Wahid M.A. "Buckling and Deflection of Ice Sheet Caused by Ship." Journal of Ocean, Mechanical and Aerospace -science and engineering- (JOMAse) 62, no. 1 (2018): 5–11. https://doi.org/10.36842/jomase.v62i1.104.

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The movement of ice ship gradually gives load to the ice sheet, along with that, the ice sheet will react in proportion to the load of the ship. The phenomenon of interaction between ice and hull of ship has been studied by researchers through empirical mathematical simulation and experiment. This paper discusses the phenomena of ice sheet buckling and deflection caused by a ship sailing in ice level. The ice sheet buckling and deflection is analyzed based on using Finite Element Method based on Euler and Cantilever methods. The methods were described from general deflection equation for a bea

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34

Sharapata, Andriy, Sergey Povalyaev, and Yevgeniy Yanyutin. "Impact on the beam of the final length of the moving mass." Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines, no. 1 (December 31, 2022): 15–20. http://dx.doi.org/10.20998/2078-9130.2022.1.263348.

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There have been considered solving direct problem of deforming of isotropic, elastic and hingedly supported beam of finite length. A roller moving at a constant speed along the axis of the beam acts on the beam. The roller has a cylindrical shape of a certain radius and a length that is greater than or equal to the width of the beam. The differential equations of beam motion are analyzed from the point of view of the influence of their components and especially the right-hand parts of the equations on the dynamic behavior of the beam in the case of using certain common materials of the beam an

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35

Zhu, Daoyong, Jiong Wang, Weili Gong, and Zheng Sun. "Model Test and Numerical Study on Surrounding Rock Deformation and Overburden Strata Movement Law of Gob-Side Entry Retaining via Roof Cutting." Minerals 10, no. 5 (2020): 458. http://dx.doi.org/10.3390/min10050458.

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The effects of roof cutting techniques on the movement law of the overlying strata and deformation features of the surrounding rock in gob-side entry retaining mines were studied using 200 working faces of the Dianping coal mine in Shanxi Province. Using a mechanical analysis, a cantilever beam model formed by roof cutting was used to derive a deformation equation. The physical model test based on the field prototype revealed an asymmetrically distributed displacement curve and reduced collapse displacement when the rock stratum was far from the cutting seam. Outside of the roof cutting height

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36

Huang, Chenhua, and Chairat Choosakul. "Children’s Fundamental Movement Skills, Social Emotional Development and Physical Activity Development Based on Kids’ Athletics Intervention: SEM Modelling and Analysis." Physical Education Theory and Methodology 25, no. 2 (2025): 382–90. https://doi.org/10.17309/tmfv.2025.2.20.

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Objectives. This study aimed to examine the developmental status of fundamental movement skills, social emotional development, and physical activity in Chinese children aged 7 to 10. Using the Kids’ Athletics intervention, Structural Equation Modeling (SEM) was applied to analyze their developmental trajectories. Materials and methods. The study was conducted between April and June 2024, and involved 305 primary school students. The Children’s Fundamental Movement Skills Test, the Physical Activity Level Questionnaire for Children and Adolescents (ages 7-18), and the Student Social Emotional C

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Петров, Л., та Ю. Петрик. "ЕЛЕМЕНТИ ТЕОРІЇ ДИНАМІЧНО РОЗВИНУТОЇ ПІДВІСКИ ВІЙСЬКОВОГО АВТОМОБІЛЯ". Collection of scientific works of Odesa Military Academy, № 19 (30 червня 2023): 134–39. http://dx.doi.org/10.37129/2313-7509.2023.19.134-139.

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In the authors' article, the elements of the theory of the dynamically developed suspension of the military vehicle are given by the constructive improvement of its suspension by connecting it to the wheel drive, the beam of which is attached to the frame of the car by springs. Also considered are the issues of researching the dynamically developed suspension of a military vehicle by creating an additional number of movements of the auxiliary system and the movement of the center of mass of this system. The conducted studies theoretically provided an improved technological scheme for loading t

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Caporali, Roberto P. L. "Vibration Analysis and Motion Control Method for an Under-Actuated Tower Crane." International Journal of Inventive Engineering and Sciences 11, no. 1 (2024): 1–11. http://dx.doi.org/10.35940/ijies.a1088.11010124.

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In this paper, we developed a solution for controlling a tower crane thought as a no-rigid system, and therefore able to have deformation and, during the motion, vibrations. Particularly, large tower cranes show high structural dynamics. Under external excitations, the payload tends to sway around its vertical position and this motion is coupled to the resulting dynamic vibration of the crane structure. These induced vibrations may cause instability and serious damage to the crane system. Furthermore, the energy stored in the flexible structure of a tower crane causes vibrations in the structu

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Refani, A. N., Yuyun Tajunnisa, K. Yudoprasetyo, F. Ghifari, and D. I. Wahyudi. "Evaluation of Structure Performance under Seismic Load with Non-Liner Time History on High-Rise Building Affected by Kendeng Fault Earthquake Simulation." Key Engineering Materials 879 (March 2021): 232–42. http://dx.doi.org/10.4028/www.scientific.net/kem.879.232.

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Indonesia is a country located in the convergence of small plates and large plates. Furthermore, this causes Indonesia to be high potentially to earthquake hazards. The newest geological research published by Geophysical Research Letter (2016) shows the existence of Fault Kendeng, a fault stretches along 300 km from South Semarang, Central Java, to East Java with a movement of 0,05 millimeter per year [1]. As a result of its research, an evaluation using a non-linear time history analysis for structural buildings is necessary. The objective of this study is to evaluate structural buildings usi

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Shahraki, Zahra Nadimi, and Reza Ghaderi. "Vibration and sensitivity analysis of piezoelectric microcantilever as a self-sensing sensor." European Physical Journal Applied Physics 87, no. 2 (2019): 20401. http://dx.doi.org/10.1051/epjap/2019190103.

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Piezoelectric microcantilevers (MCs) have extensive applications in microelectromechanical systems. One of the applications of piezoelectric MCs is in self-sensing sensors. These sensors are highly popular due to their high accuracy, quick response, and environmental compatibility. Since the output current of piezoelectric layer is used as the sensing parameter in piezoelectric MCs, sensor optimization requires the maximum output current for each specific vibration. This paper uses dynamic piezoelectric MC analysis in different operating environments (air and liquid) to determine the factors i

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Choi, S. B., and J. K. Yoo. "Pressure control of a pneumatic valve system using a piezoceramic flapper." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 1 (2004): 83–91. http://dx.doi.org/10.1243/095440604322786965.

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This paper presents a robust pressure control of a pneumatic valve system driven by piezoceramic actuators. The piezoceramic actuator bonded to both sides of a flexible beam makes a movement required to control the pressure at the flapper nozzle of a pneumatic system. After deriving the governing equation of motion, an appropriate size of the valve system is constructed. A sliding mode controller that is known to be robust to system uncertainties is then formulated in order to achieve accurate tracking control of a set of desired pressure trajectories. The closed-loop control bandwidth of the

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Changyou, Huang, and Hu Jianzhong. "Theoretical Study on the Nonlinear Dynamic Response of Propulsion Shafting under Time-Varying Hull Motion." Journal of Physics: Conference Series 2542, no. 1 (2023): 012021. http://dx.doi.org/10.1088/1742-6596/2542/1/012021.

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Abstract Due to the effect of external elements such sea waves and sea wind, the ship will unavoidably produce 6 degrees of freedom of movement, with roll motion being the most likely to occur and having the greatest impact. This paper establishes a general dynamic model of the propulsion shafting based on Timoshenko beam theory, the concentrated mass method, and Lagrange’s equation under roll motion and translation motion to study the dynamic behaviour of the propulsion shafting under roll motion and translation motion. FFT, axis trajectory, Poincaré map, and 3D spectrogram were utilized to e

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Kulterbaev, H. P., M. M. Payzulaev, and Sh A. Omarov. "Free vibrations of a Continuous-discrete multi-span Beam taking into account inertial Rotation Forces." Herald of Dagestan State Technical University. Technical Sciences 51, no. 3 (2024): 202–14. http://dx.doi.org/10.21822/2073-6185-2024-51-3-202-214.

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Objective. The aim of the study is to estimate free vibrations of a continuousdiscrete multi-span beam taking into account the inertial forces of rotation. The goal is to determine the spectra of natural frequencies, damping coefficients and natural modes. Method. The study is based on the methods of linear mechanics of structures; numerical and numericalanalytical calculation methods. The solution to the problem is found using the method of separation of variables. Rotational movements of particles of continuous sections are taken into account according to one of the models of the Timoshenko

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Ouyang, Huajiang, and Minjie Wang. "Dynamics of a Rotating Shaft Subject to a Three-Directional Moving Load." Journal of Vibration and Acoustics 129, no. 3 (2007): 386–89. http://dx.doi.org/10.1115/1.2731402.

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This paper presents a dynamic model for the vibration of a rotating Rayleigh beam subjected to a three-directional load acting on the surface of the beam and moving in the axial direction. The model takes into account the axial movement of the axial force component. More significantly, the bending moment produced by this force component is included in the model. Lagrange’s equations of motion for the modal coordinates are derived based on the assumed mode method and then solved by a fourth-order Runge-Kutta algorithm. It is found that the bending moment induced by the axial force component has

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Zhang, Zongling. "Steady-State Response Analysis of the Incompressible Nonlocal Saturated Poroelastic Beam under a Vertical Harmonic Load." Advances in Civil Engineering 2021 (October 19, 2021): 1–11. http://dx.doi.org/10.1155/2021/1364369.

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Based on the nonlocal theory and the theory of saturated porous media, the mathematical and physical model and governing equations of the steady-state response of the incompressible nonlocal saturated poroelastic beam under vertical harmonic loading are established with assumption of the movement of the liquid-phase fluid only in the axial direction of the beam and considering the nonlocal effects such as particle size, pore size, and pore dynamic stress. The dynamic response of a saturated poroelastic cantilever beam with permeability at both ends under a vertical harmonic concentrated force

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Peng, Ningbo, Chunlei Zhang, Ruimin Feng, et al. "Analysis of Dynamic Evolution of Surrounding Rock Movement and Stress-Fracture in the Upward and Repeated Mining of Close-Distance Coal Seams." Advances in Civil Engineering 2024 (February 28, 2024): 1–17. http://dx.doi.org/10.1155/2024/5548837.

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The distribution of mining-induced stress and the resulting rock fractures are two crucial factors affecting mineral extraction in protective layer mining. This research establishes a correlation between the vertical fracture aperture and the second derivative of the rock layer’s subsidence curve equation. The article explores the span requirement for a simply supported beam to fracture. This condition is relevant to understanding the dynamic evolution of rock movement and stress fractures during repeated mining of close-distance coal seams. Our study investigates alterations in rock stress an

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Zemskov, A. V., and Van Hao Le. "UNSTEADY THERMOELASTIC DIFFUSION VIBRATIONS OF THE BERNOULLI – EULER BEAM UNDER THE ACTION OF A DISTRIBUTED TRANSVERSE LOAD." PNRPU Mechanics Bulletin, no. 3 (December 15, 2023): 75–85. http://dx.doi.org/10.15593/perm.mech/2023.3.07.

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The paper deals with the problem of unsteady vibrations of the Bernoulli – Euler beam, taking into account relaxation of temperature and diffusion processes. The original mathematical model includes a system of equations of non-stationary bending oscilla-tions of the beam taking into account heat and mass transfer, which is obtained from the general model of thermoelastic diffusion for continuum using variational D'Alembert prin-ciple. Based on the obtained equations, the statement of the initial-boundary problem concerning bending of the hinged orthotropic beam, which is under the action of t

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Grondin, G. Y., and J. J. R. Cheng. "Sidesway Web Buckling of Steel Beams." Engineering Journal 36, no. 4 (1999): 169–80. http://dx.doi.org/10.62913/engj.v36i4.728.

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The lateral stability of the tension flange of doubly symmetric beams with the compression flange braced against lateral movement was investigated experimentally and numerically. Steel beams of W360X33 (W14X22) and W360X39 (W14X26) cross-section were tested to failure. Lateral supports were provided to the compression flange to prevent lateral-torsional buckling while the tension flange was free to move laterally over its entire length. Failure took the form of sidesway web buckling. A numerical model incorporating the effect of residual stresses, initial imperfections, large displacements and

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Raposo, Victor, Rodrigo Guedas, Felipe García-Sánchez, M. Auxiliadora Hernández, Marcelino Zazo, and Eduardo Martínez. "Micromagnetic Modeling of All Optical Switching of Ferromagnetic Thin Films: The Role of Inverse Faraday Effect and Magnetic Circular Dichroism." Applied Sciences 10, no. 4 (2020): 1307. http://dx.doi.org/10.3390/app10041307.

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There is a lot of experimental evidence of All Optical Switching (AOS) by applying ultrashort laser pulses on ferromagnetic thin films with perpendicular magnetic anisotropy. However, the physical origin behind these processes remains under debate. In addition to the heating caused by the laser pulses, the Inverse Faraday Effect (IFE) and Magnetic Circular Dichroism (MCD) have been proposed as the most probable phenomena responsible for the observations of helicity-dependent AOS. Here, we review the influence of both phenomena by means of realistic micromagnetic simulations based on the Landau

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Baldonedo, Jacobo G., José R. Fernández, Abraham Segade, and Sofía Suárez. "Finite Element Error Analysis of a Viscoelastic Timoshenko Beam with Thermodiffusion Effects." Mathematics 11, no. 13 (2023): 2900. http://dx.doi.org/10.3390/math11132900.

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In this paper, a thermomechanical problem involving a viscoelastic Timoshenko beam is analyzed from a numerical point of view. The so-called thermodiffusion effects are also included in the model. The problem is written as a linear system composed of two second-order-in-time partial differential equations for the transverse displacement and the rotational movement, and two first-order-in-time partial differential equations for the temperature and the chemical potential. The corresponding variational formulation leads to a coupled system of first-order linear variational equations written in te

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