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Journal articles on the topic 'Plate deflection'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Diana, Willis. "Perbandingan Analisis Lendutan Pelat dengan Menggunakan Metode Beam on Elastic Foundation (BoEF) dan Finite Element Method (FEM)." Semesta Teknika 14, no. 1 (2015): 94–100. http://dx.doi.org/10.18196/st.v14i1.590.

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The aim of this study was to compare deflection plates are supported by soil by using the method of Beam on Elastic Foundation (BoEF) and Finite Element Method (FEM). To validated the methods, used data from laboratory testing of the loading plate models. For the calculation of deflection plates on elastic (soil) foundation, the accuracy of determining the modulus of subgrade reaction will greatly affect the calculation of deflection plate. Deflection calculation used Finite Element Method and BoEF method gave deflections, where close enough to those of experimental result. Both methods can be

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2

Hartono, Edi. "Analisis Lendutan Model Pelat Fleksibel dengan Tiang Perbesaran Ujung dan Pelat Tidak Rapat Tanah Pada Tanah Pasir." Semesta Teknika 17, no. 1 (2015): 10–16. http://dx.doi.org/10.18196/st.v17i1.410.

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Problems in sandy soil may occur when sand has low density, uniform gradation and thick deposit. Flexible plate foundation may used in this condition but plate deflection still high. To reduce deflection and to improve soil density, piles were used to support the plate. Installing piles made foundation system stiffer. The objectives of this study are to studies about behavior of plates and plate with pile on sandy soil. Plate deflection was observed with variation of plate thickness, bottom pile enlargement, and soil-plate-pile interaction (free standing pile and piled foundation). 1,2 x 1,2 x

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3

Hakim, Gilad, and Haim Abramovich. "The Behavior of Long Thin Rectangular Plates under Normal Pressure—A Thorough Investigation." Materials 17, no. 12 (2024): 2902. http://dx.doi.org/10.3390/ma17122902.

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Thin rectangular plates are considered basic structures in various sectors like aerospace, civil, and mechanical engineering. Moreover, isotropic and laminated composite plates subjected to transverse normal loading and undergoing small and large deflections have been extensively studied and published in the literature. Yet, it seems that the particular case of long thin plates having a high aspect ratio appears to be almost ignored by various scholars despite its engineering importance. The present study tries to fill this gap, yielding novel findings regarding the structural behavior of long

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4

Singh, S. J., and S. P. Harsha. "Static Analysis of Functionally Graded Plate Using Nonlinear Classical Plate Theory with Von-Karman Strains." International Journal of Applied Mechanics and Engineering 23, no. 3 (2018): 707–26. http://dx.doi.org/10.2478/ijame-2018-0039.

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Abstract The present study is based on the nonlinear bending analysis of an FGM plate with Von-Karman strain based on the non-linear classical plate theory (NLCPT) with in-plane displacement and moderate rotation. Non-linear bending analysis based on stresses and transverse deflections is then carried out for the plate for the complex solution obtained using an analytical method viz. Navier’s method. The equations of motion and boundary conditions are obtained using the Principle of Minimum Potential Energy (PMPE) method and material property is graded in thickness direction according to simpl

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5

Sun, Yuan Xiang, Wang Cheng, and Lin Xu. "Effect of Higher Order Modes on Creep Buckling of Viscoelastic Plate." Applied Mechanics and Materials 331 (July 2013): 544–50. http://dx.doi.org/10.4028/www.scientific.net/amm.331.544.

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This paper analyses the creep buckling of viscoelastic rectangular plates under axial compression with initial deflections. A standard linear viscoelastic solid model is used and the von Karman nonlinear geometry equations are introduced in the governing equations. In order to obtain an accurate solution, the deflection function is expressed as a sinusoidal series with four terms rather than only one term in the computation. For the sake of discussing the effect of higher order modes on creep buckling of viscoelastic plate, we introduce the relative error of deflection function. By computation

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6

Masters, C. B., and N. J. Salamon. "Geometrically Nonlinear Stress-Deflection Relations for Thin Film/Substrate Systems With a Finite Element Comparison." Journal of Applied Mechanics 61, no. 4 (1994): 872–78. http://dx.doi.org/10.1115/1.2901570.

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A new higher order geometrically nonlinear relation is developed to relate the deflection of a thin film /substrate system to the intrinsic film stress when these deflections are larger than the thickness of the substrate. Using the Rayleigh-Ritz method, these nonlinear relations are developed by approximating the out-of-plane deflections by a second-order polynomial and midplane normal strains by sixthorder polynomials. Several plate deflection configurations arise in an isotropic system: at very low intrinsic film stresses, a single, stable, spherical plate configuration is predicted; as the

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7

Korobkin, Alexander, and Tatiana Khabakhpasheva. "Visco-Elastic Plate Motion after Its Breaking into Parts." Journal of Marine Science and Engineering 10, no. 6 (2022): 833. http://dx.doi.org/10.3390/jmse10060833.

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Mathematical modelling of visco-elastic plate breaking and consequent deflection of the plate are studied using the simplified formulation. The plate is modelled as a thin visco-elastic plate of constant thickness. The edges of the plate are clamped. The plate deflection is caused by a uniform aerodynamic pressure, which slowly increases in time. The plate deflection before breaking is approximated as quasi-static. The plate breaks instantly then and there, when and where the modified fracture criterion by Petrov and Morozov is achieved. Both the deflections and velocities of the plate before

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8

Hakim, Gilad, and Haim Abramovich. "Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study." Materials 16, no. 5 (2023): 2041. http://dx.doi.org/10.3390/ma16052041.

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Large deflection of rectangular plates under transverse pressure is described by Föppl–von Kármán equations, which have only approximated solutions. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. The present study presents an analysis to obtain analytical expressions for its coefficients by using the plate’s elastic properties and dimensions. To validate the non-linear relationship between the pressure and the lateral displacement of the multiwall plate, a vacuum chamber loading test is used to m

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9

Hakim, Gilad, and Haim Abramovich. "Innovative Insights on the Thin Square Plate Large Deflection Problem." Materials 16, no. 21 (2023): 6967. http://dx.doi.org/10.3390/ma16216967.

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Thin plates subjected to transverse load and undergoing large deflections have been widely studied and published in the literature. However, there is still a lack of information and understanding about the membrane stresses created under large deflections and their associated Airy stress function, as displayed in the well-known von Kármán equations set. The present study aims at providing explicit expressions for the membrane stresses, the deflections, and the Airy stress function for a general square plate area vertically uniformly loaded to reach large deflection state. This was obtained by

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10

De Queiroz, João Pedro T. P., Marcelo L. Cunha, Ana Pavlovic, et al. "Geometric Evaluation of Stiffened Steel Plates Subjected to Transverse Loading for Naval and Offshore Applications." Journal of Marine Science and Engineering 7, no. 1 (2019): 7. http://dx.doi.org/10.3390/jmse7010007.

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This work searched for the optimal geometrical configuration of simply supported stiffened plates subjected to a transverse and uniformly distributed load. From a non-stiffened reference plate, different geometrical configurations of stiffened plates, with the same volume as the reference plate, were defined through the constructal design method. Thus, applying the exhaustive search technique and using the ANSYS software, the mechanical behaviors of all the suggested stiffened plates were compared to each other to find the geometrical configuration that provided the minimum deflection in the p

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11

Onyeka, F. C., and B. O. Mama. "Analytical Study of Bending Characteristics of an Elastic Rectangular Plate using Direct Variational Energy Approach with Trigonometric Function." Emerging Science Journal 5, no. 6 (2021): 916–28. http://dx.doi.org/10.28991/esj-2021-01320.

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In this paper, an analytical three-dimensional (3D) bending characteristic of an isotropic rectangular thick plate with all edges simply supported (SSSS) and carrying uniformly distributed transverse load using the energy technique is presented. The three-dimensional constitutive relations which involves six stress components were used in the established, refined shear deformation theory to obtain a total potential energy functional. This theory obviates application of the shear correction factors for the solution to the problem. The governing equation of a thick plate was obtained by minimizi

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12

Xiang, Wei, and Yufeng Xing. "A New First-Order Shear Deformation Theory for Free Vibrations of Rectangular Plate." International Journal of Applied Mechanics 07, no. 01 (2015): 1550008. http://dx.doi.org/10.1142/s1758825115400086.

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A new first-order shear deformation theory (FSDT) with pure bending deflection and shearing deflection as two independent variables is presented in this paper for free vibrations of rectangular plate. In this two-variable theory, the shearing deflection is regarded as the only fundamental variable by which the total deflection and bending deflection can be expressed explicitly. In contrast with the conventional three-variable first-order shear plate theory, present variationally consistent theory derived by using Hamiltonian variational principle can uniquely define the bending and the shearin

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13

Singh, A. Mahavir, B. I. K. Pandita, and C. S. K. Kheer. "Deflection of Plates by Using Principle of Quasi Work." Journal of Applied Engineering Sciences 6, no. 2 (2016): 21–24. http://dx.doi.org/10.1515/jaes-2016-0013.

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Abstract A new methodology based on Principle of Quasi Work is used for calculating the deflections in plates. The basis of this methodology is concept of topologically similar systems. Present method uses a priory known solution for deflection of a simply supported plate for arriving at the deflection of any other topologically similar plate with different loading and boundary conditions. This priory known solution is herein referred to as reference equation. Present methodology is easy as deflections are obtained mostly by elementary mathematics for point loads and for other loads by integra

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14

Thangasamy, Lakshmi, and Gunasekaran Kandasamy. "Behavior of Steel–Coconut Shell Concrete–Steel Composite Beam without and with Shear Studs under Flexural Load." Materials 13, no. 11 (2020): 2444. http://dx.doi.org/10.3390/ma13112444.

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In this study, we investigated using coconut shell concrete (CSC) in double-skin steel plate sandwich beams, i.e., steel–concrete–steel (SCS) under flexure. Two cases—without and with shear studs to interconnect the bottom tension and top compression plates—were considered. Conventional concrete (CC) was used for comparison purposes. The effect of quarry dust (QD) in place of river sand (RS) was considered. Therefore, four mixes named as CC, conventional concrete produced using QD (CCQ), CSC and coconut shell concrete produced using QD (CSCQ) were used. Three different steel plate thicknesses

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15

Khalatkar, Abhay M., V. K. Gupta, and Rakesh Kumar Haldkar. "Study of Effect of Geometry Parameters on Piezoelectric Cantilever by Modal and Harmonic Analysis." Advanced Materials Research 383-390 (November 2011): 6689–94. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.6689.

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In this study a Finite Element Analysis for cantilever plate structure excited by proof mass is presented. To investigate the influence of different geometry parameters like thickness, length and width on the maximum deflection and resonance frequency. Configuration of piezoelectric actuators attached to the plate structure in order to identify the optimal configuration of the actuators for selective excitation of the mode shapes of the cantilever plate structure. The Finite Element Modeling based on ANSYS12.0 package using modal analysis and harmonic analysis is used in this study for cantile

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16

Fergani, Omar, Ali Mamedov, Ismail Lazoglu, Jian Guo Yang, and Steven Y. Liang. "Prediction of Residual Stress Induced Distortions in Micro-Milling of Al7050 Thin Plate." Applied Mechanics and Materials 472 (January 2014): 677–81. http://dx.doi.org/10.4028/www.scientific.net/amm.472.677.

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In this paper, a new analytical model based on a mechanistic force prediction and elastoplastic relaxation procedure predicting the deflections induced by the residual stresses in a milled micro part is proposed. The force model defines the Hertzian type distribution applied by the tool on the part. The proposed deflection model is valid for thin rectangular parts typically produced only using a micro-milling process. The deflection and the force model were analytically developed and experimentally tested on thin Al 7050 micro plates. The force model was validated using micro dynamometer and t

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17

E., Altunsaray. "A parametric study for static deflections of symmetrically laminated rectangular thin plates." Scientific Bulletin of Naval Academy XXII, no. 1 (2019): 278–88. http://dx.doi.org/10.21279/1454-864x-19-i1-041.

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This study focuses on static deflection analysis of uniformly lateral loaded composite thin rectangular plate with uniformly lateral loads. Stacking sequence of symmetrically laminated quasi-isotropic plates has the sequence of the orientation angles -45°, 0°, +45°, 90°. Boundary conditions were selected as clamped and simply supported hinges at the edges of the plates. The Finite Difference Method (FDM) was used to determine the maximum deflection of the plates based on the governing differential equations of Classical Laminated Plate Theory (CLPT). Effect of the lamination type, boundary con

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18

Senjanović, Ivo, Marko Tomić, Smiljko Rudan, and Neven Hadžić. "Conforming shear-locking-free four-node rectangular finite element of moderately thick plate." Journal of the Mechanical Behavior of Materials 25, no. 5-6 (2016): 141–52. http://dx.doi.org/10.1515/jmbm-2017-0001.

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AbstractAn outline of the modified Mindlin plate theory, which deals with bending deflection as a single variable, is presented. Shear deflection and cross-section rotation angles are functions of bending deflection. A new four-node rectangular finite element of moderately thick plate is formulated by utilizing the modified Mindlin theory. Shape functions of total (bending+shear) deflections are defined as a product of the Timshenko beam shape functions in the plate longitudinal and transversal direction. The bending and shear stiffness matrices, and translational and rotary mass matrices are

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19

TANAKA, SATOYUKI, SHOTA SADAMOTO, and SHIGENOBU OKAZAWA. "NONLINEAR THIN-PLATE BENDING ANALYSES USING THE HERMITE REPRODUCING KERNEL APPROXIMATION." International Journal of Computational Methods 09, no. 01 (2012): 1240012. http://dx.doi.org/10.1142/s0219876212400129.

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This study analyzed thin-plate bending problems with a geometrical nonlinearity using the Hermite reproducing kernel approximation and sub-domain-stabilized conforming integration. In thin-plate bending analyses, the deflections and rotations satisfy so-called Kirchhoff mode reproducing conditions. It is then possible to solve large deflection analyses of thin plates, such as elastic bucking problems, with high accuracy and efficiency. Total Lagrangian method is applied to solve the geometrical nonlinearity of the thin plates' deflections and rotations. The Green–Lagrange strain and second Pio

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20

Wu, Qiyuan, Tatyana Khabakhpasheva, Baoyu Ni, and Alexander Korobkin. "Interaction of a Flexural-Gravity Wave with a Vertical Rigid Plate Built in a Floating Elastic Plate." Journal of Marine Science and Engineering 11, no. 4 (2023): 697. http://dx.doi.org/10.3390/jmse11040697.

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The linear two-dimensional problem of interaction between an hydroelastic wave propagating along an elastic floating ice plate with built-in vertical rigid plate is studied. The fluid under the ice is inviscid and incompressible. The fluid depth is finite. The deflection of the ice plate is described by the linear theory of thin elastic plates. The flow under the ice is potential. The total velocity potential is decomposed into the potential of the incident wave, even potential caused by the vertical motion of the rigid plate, and an odd potential caused by the rotation of the rigid plate. The

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21

Birman, V., and R. Latorre. "Soviet Technique for Estimating Post-Welded Deflection: Case of Butt Welding." Journal of Ship Production 5, no. 01 (1989): 10–15. http://dx.doi.org/10.5957/jsp.1989.5.1.10.

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The hulls of modern ships are almost entirely welded. This makes the prediction of post-welded deformations very important. The number of parameters involved in the process of welding is large, so the exact mathematical theory for prediction of deformations is unavailable. Some researchers have estimated the post-welded deflections based on empirical and semi-empirical equations. The growing literature on the study of postwelded deflections of hull plates enables the estimation of these deflections based on the plate geometry and the plate material. The limited number of critical parameters co

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22

Gagnon, P., C. Gosselin, and L. Cloutier. "Analysis of Spur and Straight Bevel Gear Teeth Deflection by the Finite Strip Method." Journal of Mechanical Design 119, no. 4 (1997): 421–26. http://dx.doi.org/10.1115/1.2826385.

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A linear Finite Strip element for the analysis of rectangular and annular sector thick plates is presented to permit the deflection analysis of spur and straight bevel gear teeth, which are respectively modeled as rectangular and annular sector cantilever plates. Plate deflections are obtained by a hybrid procedure based on the minimum total potential energy theorem, which retains advantages of both the orthotropic-plate method and the Finite Element concept and is called the Finite Strip Method. The formulation accounting for transverse shear deformation is based on Mindlin’s plate theory. Si

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23

Žiga, Alma, and Josip Kačmarčik. "Plywood Cantilever Deflection." Drvna industrija 74, no. 1 (2023): 81–91. http://dx.doi.org/10.5552/drvind.2023.0053.

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In this paper, the elastic behaviour in bending of three-layer plywood cantilever beams is analysed. Deflections of straight and half-circle cantilevers, loaded with a force at free end is determined experimentally and calculated using analytical and finite element method approach. The analytical calculation of deflection for the strait cantilever is obtained using a transformed cross section. The deflection of half-circle cantilever is determined by the classical laminated plate theory and Castigliano’s theorem. Loads and cantilever dimensions are varied in the study using the design of exper

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24

Javidinejad, A. "Application of Anisotropic Thin Plate Theory for Development of Displacements for Silicon <111> Crystals Plates in Cylindrical Systems." International Journal of Applied Mechanics and Engineering 21, no. 4 (2016): 879–90. http://dx.doi.org/10.1515/ijame-2016-0052.

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Abstract Silicon <111> crystal is one of the crystal orientations, which shows potential for application in micro device developments of pressure diaphragms for measurement purposes. To date, no theoretical basis has been examined to develop the deflections for computational analysis purposes [1]. This paper presents the development of the diaphragm deflections for Silicon <111> Crystal in Cylindrical coordinates system. The Silicon <111> crystal possesses transverse isotropic properties. Thus, an anisotropic thin plate theory is used here to develop the plate deflection. A n

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25

Onwuka, D. O., O. M. Ibearugbulem, and Duke Bertram. "Analysis of Orthotropic Thin Rectangular Simply Supported Plate Subjected to both In-Plane Compression and Lateral Loads." International Journal of Engineering Research in Africa 48 (May 2020): 63–77. http://dx.doi.org/10.4028/www.scientific.net/jera.48.63.

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This study presents the analysis of thin rectangular orthotropic plate, simply supported at all edges (SSSS) subjected to both in-plane compression and lateral loads. The total potential energy functional was used in the analysis. The general variation of the total potential energy functional was done and the governing equation was obtained. The solution of the direct integration of the governing equation gave the deflection of the plate as a product of the coefficient of deflection and an orthogonal polynomial shape function. The expression for the coefficient of deflection was obtained by th

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26

Zheng, Jian Jun, and Xin Zhu Zhou. "A New Numerical Method for Axisymmetrical Bending of Circular Plates with Large Deflection." Key Engineering Materials 353-358 (September 2007): 2699–702. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.2699.

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A simple and efficient spline integral equation method is presented in this paper for the axisymmetrical bending of circular plates with large deflection. Based on two second-order differential equations in terms of the slope of the deflection surface and the radial displacement of the circular plate, two integral equations are derived. The circular plate is then equidistantly divided into a circular plate element and a series of annular plate elements along its radial direction and the slope of the deflection surface and the radial displacement are both approximated by cubic spline interpolat

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27

S., Sopakirite, and Happiness D.M. "Deflection of an Isotropic All-Round Simply Supported Rectangular Plates Incorporating Shear Effect Using Characteristic Orthogonal Polynomial Function." International Journal of Mechanical and Civil Engineering 5, no. 1 (2022): 85–97. http://dx.doi.org/10.52589/ijmce-boihrq2f.

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The breadth and dexterity with which plates are used in the vast majority of engineering structures necessitates an ever-increasing and deeper study focus on plate strength and stiffness at the ultimate and serviceability limit states of response. From Kirchhoff’s hypothesis, thin plates when subjected to transverse loading, bend and experience transverse deflections that are typically minor in comparison to the plate thickness. However, for thicker plates there is an observed limitation in the application of Kirchhoff’s hypothesis, as this theory ignore the effect of transverse shear on the d

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28

RAFIEE, M., X. Q. HE, S. MAREISHI, and K. M. LIEW. "MODELING AND STRESS ANALYSIS OF SMART CNTs/FIBER/POLYMER MULTISCALE COMPOSITE PLATES." International Journal of Applied Mechanics 06, no. 03 (2014): 1450025. http://dx.doi.org/10.1142/s1758825114500252.

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Modeling and nonlinear stress analysis of piezolaminated CNTs/fiber/polymer composite (CNTFPC) plates under a combined mechanical and electrical loading are investigated in this study. The governing equations of the piezoelectric CNTFPC plates are derived based on first-order shear deformation plate theory (FSDT) and von Kármán geometric nonlinearity. Halpin–Tsai equations and fiber micromechanics are used in hierarchy to predict the bulk material properties of the multiscale composite. The CNTs are assumed to be uniformly distributed and randomly oriented through the epoxy resin matrix. An an

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29

KATORI, Hiroaki, and Tohru NISHIMURA. "Shear Deflection of Anisotropic Plate." Transactions of the Japan Society of Mechanical Engineers Series A 58, no. 545 (1992): 133–40. http://dx.doi.org/10.1299/kikaia.58.133.

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30

Heggeness, Michael H., and Brian J. Doherty. "Discography Causes End Plate Deflection." Spine 18, no. 8 (1993): 1050–53. http://dx.doi.org/10.1097/00007632-199306150-00015.

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31

Shan, Yin, and Temuer Chaolu. "Deflection of a Nano Plate." Advanced Science Letters 10, no. 1 (2012): 563–65. http://dx.doi.org/10.1166/asl.2012.3348.

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Nelson, Tombra Akari, Otto Captain, and Ode Thankgod. "Parametric Modelling of Anisotropic Plate Based on Elastic Strip Method of Homoginization." Journal of Scientific and Engineering Research 11, no. 1 (2024): 101–13. https://doi.org/10.5281/zenodo.10620682.

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<strong>Abstract </strong>Analytical modelling of structural anisotropic plate, represented as sandwich plate with corrugated cores is presented herein. it entails derivation of analytical models for evaluating in-plane extensional shear stiffnesses, out of plane bending stiffnesses, bending moments and deflection for sandwich plates, under transverse loading and boundary conditions. The combination of classical laminate theory and axis rotation in a smeared structure was adopted to evaluate the mechanical properties and the finite series was implemented to determine the structural characteris

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Wang, Shun, Jinliang Dai, Zhikang Xu, Ji Wang, Rui Li, and Jiayan Wang. "Deflection Intelligent Prediction for High-Strength Steel Saddle Plate Forming Applicable to Reducing Ship Weight." Materials 16, no. 17 (2023): 6028. http://dx.doi.org/10.3390/ma16176028.

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The application of high-strength steel plates can reduce ship weight, and the saddle plate is one of the most common types of double-curved hull plates. To fill the research gap regarding high-strength steel saddle plates, two prediction models are established here to predict deformation in saddle plate forming. Deflection is a key parameter reflecting the overall deformation of a curved plate. Therefore, first of all, the influencing factors of the line heating of high-strength steel saddle plates were analyzed. The influence of plate geometric parameters and forming parameters on deflection

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Reza, M. D. F., S. W. Alisjahbana, and T. M. Rasyif. "Stability of Orthotropic Runway Plate under The Combination In-Plane and Transversal Dynamic Loads on Kerr Foundation Soil Modelling." IOP Conference Series: Earth and Environmental Science 1347, no. 1 (2024): 012082. http://dx.doi.org/10.1088/1755-1315/1347/1/012082.

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Abstract Runway pavements are subjected to dynamic loads from aircraft landing and take-off, which can cause vibrations and lead to cracking and instability. The existing method for designing runway pavements, the ACN-PCN method, does not consider the effects of vibration, deflection, and external loads. This research proposes a new approach for designing runway pavements using a numerical method that accounts for these factors. The method uses differential and Kerr foundation equations with the Levy method to determine the deflection of the plate structure. The soil parameters are obtained fr

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35

Onyeka, F. C., T. E. Okeke, and O. Ikhazuagbe. "Non-linear bending and stress analysis of a transversely loaded isotropic plates material using 3-D plate theory." Journal of Advances in Science and Engineering 7, no. 1 (2022): 1–8. http://dx.doi.org/10.37121/jase.v7i1.190.

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This paper presents the bending stress analysis of anisotropic plate material under transverse loading using a three-dimensional (3-D) plate theory. The static elastic theory was used to formulate the total energy expression of the plate thereafter, transformed into a compatibility equation through general variation to get the slope and deflection relationship. The solution of equations of the equilibrium gave rise to the exact polynomial deflection function while the coefficient of deflection and shear deformation of the plate was gotten from the governing equation through the direct variatio

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36

Wu, Jian, Jinpeng Zhang, and Xue Li. "Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation." Buildings 13, no. 7 (2023): 1671. http://dx.doi.org/10.3390/buildings13071671.

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In this paper, the bending behavior of rectangular plates with stepped thickness resting on an elastic half-space foundation is investigated through an analytic method. Combined with the bending theory of the rectangular thin and moderately thick plate, the stepped rectangular plate is divided into upper and lower plates, and the Fourier series is used to obtain the analytical solution of the deflection of the plate and the interaction force between the plate and foundation. The influence of the elastic modulus of the plate, plate theory, and the dimension of the plate on the deflection of the

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37

Marek, Kopras, Buczkowski Wiesław, Szymczak-Graczyk Anna, Walczak Zbigniew, and Gogolik Sławomir. "Experimental Validation of Deflections of Temporary Excavation Support Plates with the Use of 3D Modelling." Materials 15, no. 14 (2022): 4856. http://dx.doi.org/10.3390/ma15144856.

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Almost every project is accompanied by earthworks, very often involving various types of excavation, and the work of people in the excavations. One of the most important tasks in earthworks is to ensure that the walls of the excavation are protected against sliding and that people working in and around the excavation are safe. Very often, in addition to criteria relating to safety and stability of the excavation, economic considerations are also an important criterion. This issue arises as early as the design stage and is related to the choice of construction and materials of which the shoring

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38

Ge, Chang. "Numerical Simulation of Vibration Deflection Effects on the Energy Efficiency of Ultrasonic Transducer for Sonochemistry." Mathematical Problems in Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/591352.

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The energy efficiency of ultrasound transducers for sonochemistry applications was studied from the point of view of vibration deflection effects of different transducer structures, including the configurations of rectangular plate, cylindrical shell, triangular strip array, rectangular strip array, and pentagonal strip array. It was found that the deflections are not uniform over the transducer surface with the maximum deflection locating at the geometry center of transducers. The simulated maximum deflection of rectangular plate results in the value of2.5×10-16, which is larger than the maxi

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Surianinov, Mykola, and Irina Korneeva. "EXPERIMENTAL STUDIES OF SERIAL REINFORCED CONCRETE PAG SLAB WITH ADDITIONAL STEEL FIBER REINFORCEMENT." Spatial development, no. 5 (November 24, 2023): 201–11. http://dx.doi.org/10.32347/2786-7269.2023.5.201-211.

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Thus, in laboratory conditions, experimental studies of the bearing capacity and crack resistance of a serial PAG plate with additional steel fiber reinforcement in the amount of 1% were carried out. In accordance with the regulatory documents in force in Ukraine, one of two possible load schemes was considered ― when loaded by a concentrated force applied to the cantilever part of the slab. The plate was tested on a specially made stand consisting of four support racks connected in pairs by beams on which the plate rested. The load was applied across the width of the slab in steps of 0.04 fro

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Iwasińska-Kowalska, Olga. "A SYSTEM FOR PRECISE LASER BEAM ANGULAR STEERING." Metrology and Measurement Systems 21, no. 1 (2014): 27–36. http://dx.doi.org/10.2478/mms-2014-0003.

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Abstract A system for precise angular laser beam deflection by using a plane mirror is presented. The mirror was fixed to two supports attached to its edges. This article details the theoretical basis of how this deflector works. The spring deflection of a flat circular metal plate under a uniform axial buckling was used and the mechanical stress was generated by a piezoelectric layer. The characteristics of the deformation of the plate versus the voltage control of the piezoelectrics were examined and the value of the change resolution possible to obtain was estimated. An experimental system

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Wasmi, Hatem Rahem, Ibtehal Abbas Sadiq, and Mohsin Asfoor Lafta. "Non-Linear Analysis of Laminated Composite Plates under General Out-Of-Plane Loading." Journal of Engineering 21, no. 2 (2015): 119–43. http://dx.doi.org/10.31026/j.eng.2015.02.08.

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The theoretical analysis depends on the Classical Laminated Plate Theory (CLPT) that is based on the Von-K ráman Theory and Kirchhov Hypothesis in the deflection analysis during elastic limit as well as the Hooke's laws of calculation the stresses. New function for boundary condition is used to solve the forth degree of differential equations which depends on variety sources of advanced engineering mathematics. The behavior of composite laminated plates, symmetric and anti-symmetric of cross-ply angle, under out-of-plane loads (uniform distributed loads) with two different boundary conditions

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Alves, Mariana Alvarenga, Eduarda Machado Rodrigues, Luiz Alberto Oliveira Rocha, Elizaldo Domingues dos Santos, William Ramires Almeida, and Liércio André Isoldi. "Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending." Metals 15, no. 6 (2025): 647. https://doi.org/10.3390/met15060647.

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Thin steel plates with stiffeners are widely used in shipbuilding, aeronautics, and civil construction due to their lightness and structural strength. This study presents a numerical model developed using ANSYS Mechanical APDL with SHELL281 finite elements to evaluate the deflection of thin steel plates with trapezoidal-shaped box-beam stiffeners, known as hat-stiffened plates. The structure is analyzed under a uniformly distributed load perpendicular to the plate, with simply supported boundary conditions. The constructal design method combined with the exhaustive search technique is employed

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Lee, Hye-Ji, Keun-Hyeok Yang, Sanghee Kim, Jong-Kook Hong, Deung-Hwan Kim, and Ju-Hyun Mun. "Deflection Test of Wire-Integrated Steel Deck Plates with Various End Details." Materials 16, no. 6 (2023): 2251. http://dx.doi.org/10.3390/ma16062251.

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This experimental study was conducted to evaluate the deflection performance of wire-integrated steel deck plates with various end details subjected to cumulative gravity loads. In general, when deck plates are installed in the Republic of Korea, vertical bars are mounted at the ends of the wire-integrated deck plates. However, this process can extend the construction time, thus incurring additional costs. Consequently, this study aimed to examine the structural performance of a deck plate when a lattice foot—rather than a vertical bar—is installed at the end of it. A total of nine specimens w

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Zhou, Wu, Dong Wang, Huijun Yu, and Bei Peng. "A pressure-deformation analytical model for rectangular diaphragm of MEMS pressure sensors." Modern Physics Letters B 31, no. 05 (2017): 1750046. http://dx.doi.org/10.1142/s0217984917500464.

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Rectangular diaphragm is commonly used as a pressure sensitive component in MEMS pressure sensors. Its deformation under applied pressure directly determines the performance of micro-devices, accurately acquiring the pressure–deflection relationship, therefore, plays a significant role in pressure sensor design. This paper analyzes the deflection of an isotropic rectangular diaphragm under combined effects of loads. The model is regarded as a clamped plate with full surface uniform load and partially uniform load applied on its opposite sides. The full surface uniform load stands for the exter

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Hakim, Gilad, and Haim Abramovich. "Large Deflections of Thin-Walled Plates under Transverse Loading—Investigation of the Generated In-Plane Stresses." Materials 15, no. 4 (2022): 1577. http://dx.doi.org/10.3390/ma15041577.

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Thin-walled plates subjected to transverse loading undergoing large deflection have been the topic of a large number of studies. However, there is still a lack of information about the nature and the distribution membrane stresses generated under large deflections. The purpose of this paper is to calculate and display the distribution of the generated stresses and the respective deflections on the entire rectangular plate area. Finite element analysis results for thin-walled plates with aspect ratios of 1, 2 and 5, on movable and immovable edges simply supported and clamped boundary conditions

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Nagirniak, Mykola. "Płyty kołowe Hencky’ego–Bolle’a spoczywające na podłożu sprężystym Własowa." Przegląd Naukowy Inżynieria i Kształtowanie Środowiska 29, no. 4 (2020): 444–53. http://dx.doi.org/10.22630/pniks.2020.29.4.38.

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The work presents the equations of the theory of symmetrical plates, resting on one-way, single-layer, two-parameter Vlasov’s subsoil. Two cases of differential equation solution of the plate deflection of thin and medium thickness on the ground substrate were analyzed depending on the size of the integral characteristics UÖD and 6ÖD. The example of loading the circular plate with a Pk load evenly distributed over the edge was considered and shows dimensionless graphs of deflection, bending torques and transverse forces in the plate and in the ground subsoil. The effect of the Poisson’s coeffi

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Troshin, M. Yu, A. V. Turkov, and A. S. Troshina. "Deflection to natural vibration frequency ratio in a three-layer CLT slab with variable thickness of layers." Building and Reconstruction, no. 6 (December 11, 2024): 60–68. https://doi.org/10.33979/2073-7416-2024-116-6-60-68.

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This study examines the relationship between the maximum deflection and natural frequency of vibration in a three-layer cross-laminated timber (CLT) board at variable thicknesses of the inner and transverse plank layers under different boundary conditions. The finite element method (FEM), implemented in the SCAD++ computer complex by creating a finite element computational model in the form of a composite plate with anisotropic properties of the layers and rigid bonds between the plates, was used for the investigations. As a result, the values of maximum deflections and natural vibration frequ

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The, Vu Van. "Rigid plastic plates at large deformations." Vietnam Journal of Mechanics 7, no. 1 (1985): 20–23. http://dx.doi.org/10.15625/0866-7136/10381.

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By being statically loaded plastic plates can support loads exceeding the bending collapse pressure, the behaviour of perfectly rigid plastic plates beyond the yield load depends on changes in geometry to the plastic flow. Therefore in post yield behaviour the deflection can not be considered small in comparison with the plate thickness. In this paper we employ the equations of plates at moderately large deflections and the approximate live behaviour of plates introduced in/2,3/ by dividing plates into a number of rigid regions which have been separated by line hinges situated at locations whe

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Ali Sabah AL-Amili. "The Effect of Steel Plate on the Deflection of Self Reinforced Concrete Beam with and Without Opening." Diyala Journal of Engineering Sciences 6, no. 1 (2013): 36–49. http://dx.doi.org/10.24237/djes.2013.06104.

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In this work aims at studying the influence of steel plate on the deflection of self- compacted reinforced concrete beams was investigated experimentally in this study to know the flexural behavior of these beams. Eight simply supported reinforced concrete beam were tested under the action of two point loads .The deflections of the beams with and without plate are measured. The steel plates of thickness (3 mm) with dimensions ( 170 × 350 mm) were used. These plates were sticked on the concrete beams using epoxy. The steel plate inside the beam was sticked with and without epoxy (epoxy type EP)

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Tri Des Wantoro, Alfian, Ikhwanul Qiram, and Anas Mukhtar. "Pengaruh Beban Tersebar dan Terpusat Terhadap Lendutan (Cantilever) Batang Besi." V-MAC (Virtual of Mechanical Engineering Article) 5, no. 2 (2020): 27–29. http://dx.doi.org/10.36526/v-mac.v5i2.1040.

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In development planning in the mechanical industry or civil engineering construction, it is very common to use the properties of the iron rod material which can deflect or what is known as a cantilever. The factors that affect the size of the force exerted on the stem are directly proportional to the amount of deflection that occurs. In other words, the greater the load experienced by the rod, the greater the deflection. Deflection of rods plays an important role, especially in building construction, wherein certain parts such as the shaft, deflection is very undesirable. Because of deflection

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