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Journal articles on the topic 'SS- simply supported'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Kaur, N., A. Singhal, and A. Khanna. "A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters." International Journal of Applied Mechanics and Engineering 23, no. 4 (2018): 873–84. http://dx.doi.org/10.2478/ijame-2018-0048.

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Abstract Effects of structural parameters on the vibration of a tapered non-homogeneous rectangular plate with different combinations of boundary conditions are discussed. Tapering in the plate is assumed to be sinusoidal in the x-direction. Here, temperature variation and non-homogeneity in the plate material are also considered sinusoidal in the x-direction. The Rayleigh-Ritz method is used to calculate the frequency parameter for the first two modes of vibration for different values of the structural parameters, i.e. the taper parameter, thermal gradient, aspect ratio and non-homogeneity co

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2

KANG, JAE-HOON, and ARTHUR W. LEISSA. "VIBRATION AND BUCKLING OF SS-F-SS-F RECTANGULAR PLATES LOADED BY IN-PLANE MOMENTS." International Journal of Structural Stability and Dynamics 01, no. 04 (2001): 527–43. http://dx.doi.org/10.1142/s0219455401000299.

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This paper presents exact solutions for the free vibrations and buckling of rectangular plates having two opposite, simply supported edges subjected to linearly varying normal stresses causing pure in-plane moments, the other two edges being free. Assuming displacement functions which are sinusoidal in the direction of loading (x), the simply supported edge conditions are satisfied exactly. With this the differential equation of motion for the plate is reduced to an ordinary one having variable coefficients (in y). This equation is solved exactly by assuming power series in y and obtaining its

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3

Yin, Tao, Dian Qing Li, and Hong Ping Zhu. "A New Solution Method for Vibration Analysis of Circular Cylindrical Thin Shells with a Circumferential Surface Crack." Advanced Materials Research 639-640 (January 2013): 1003–9. http://dx.doi.org/10.4028/www.scientific.net/amr.639-640.1003.

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In this paper, a new solution method is proposed for determining the natural frequency of a given mode for a finite-length circular cylindrical thin shell with a circumferential part-through crack. The governing equation of the cracked cylindrical shell is derived by integrating the line-spring model with the classical thin shell theory. The proposed method calculates the natural frequency from an initial trial to satisfy both the governing equations and appropriate boundary conditions through an optimization process. The initial trial is proposed to satisfy the governing equations by using th

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4

Anwar, Rabia, Madiha Ghamkhar, Muhammad Imran Khan, et al. "Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study." Mathematical Problems in Engineering 2021 (November 5, 2021): 1–10. http://dx.doi.org/10.1155/2021/4843321.

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Cylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely beneficial for the manufacturing of structural elements. Functionally graded materials are broadly used in several fields such as chemistry, biomedicine, optics, and electronics. In the present research, vibrations of natural frequencies are investigated for different layered cylindrical shells, tho

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Nguyen, Quoc-Bao, and Huu-Hue Nguyen. "An Efficient Approach for Damage Identification of Beams Using Mid-Span Static Deflection Changes." Eng 5, no. 2 (2024): 895–917. http://dx.doi.org/10.3390/eng5020048.

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In structural health monitoring, determining the location and index of damage is a critical task in order to ensure the safe operation of the construction project and to enable the early recovery of losses. This paper presents a novel method for identifying damage location and damage index in simply supported (SS) beams by analyzing deflection changes at the mid-span point. Theoretical equations for mid-span deflection of simply supported beams with local damage are derived based on the principle of Virtual Work. Utilizing mid-span deflection, formulas for deflection change (DC) between two st

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6

Yas, M. H., M. Shakeri, and N. Khaksar. "Stacking sequence optimization of a composite cylindrical shell for vibrations by hybrid continuous optimization." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 12 (2008): 2385–94. http://dx.doi.org/10.1243/09544062jmes900.

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In this paper, stacking sequence optimization of a laminated cylindrical shell for obtaining maximum natural frequency has been studied. The anisotropic cylindrical shell has finite length with simply supported conditions at both ends. Three-dimensional elasticity approaches are used to obtain the objective function. To perform optimization, a hybrid method, combining Tabu search (TS) and simplex search (SS) is used. TS allows the solution space to be widely covered. To stimulate the search towards solutions far from the current one, and to avoid the risk of being trapped into a local maximum,

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7

Swaminathan, K., and Govind R. Sangwai. "Transverse Stresses in Antisymmetric Angle Ply Sandwich Plates – Analytical Evaluation of Refined Higher Order Shear Deformation Theories." Advanced Materials Research 123-125 (August 2010): 599–602. http://dx.doi.org/10.4028/www.scientific.net/amr.123-125.599.

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In the present work two higher order computational models with 9 and 12 DOF already available in the literature for which analytical formulations and solutions for the stress analysis not yet reported are considered. In addition to these models, few higher order models and the first order model developed by other investigators are also considered for the evaluation. A simply supported plate subjected to sinusoidal transverse load with SS-2 boundary conditions is considered for the analysis. Solutions are obtained using Navier's technique. Transverse stresses are computed by post processing tec

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8

P.Yagnasri*. "ZERO DELAMINATION OF SMART COMPOSITE LAMINATED ANGLE PLY USING HSDT WITH ZIG ZAG FUNCTION." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 3 (2017): 149–55. https://doi.org/10.5281/zenodo.376540.

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Thermal analysis of smart composite laminated plate using higher order theory with zig-zag functions. To develop the analytical procedure and to investigate the thermal characteristics, the material is considered to be orthotropic under thermal load based on higher order displacement model with zig-zag function, without enforcing zero transverse shear stress on the top and bottom faces of the laminated plates. The related functions and derivations for equation of motion are obtained using the dynamic version of the principle of virtual work or Hamilton’s principle. The solutions are obtained b

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9

Khairussaleh, Nor Ashikin Muhammad, Ng Kah Hoe, and Gerald A. R. Parke. "Effect of Area Loading on Flexural Performance of Bubble Deck Slab." Key Engineering Materials 912 (March 4, 2022): 41–54. http://dx.doi.org/10.4028/p-51xde0.

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Reinforced bubble deck slab is a structural slab that contains high-density polyethene (HDPE) hollow spherical plastic bubble balls forming a slab with less concrete volume compared to the normal reinforced concrete slab. Reducing certain volumes of concrete from 30 to 50% will affect the performance of the slab structure in particular the flexural and shear capacity. Thus, in this research the effect of area loading on the flexural performance of bubble deck slabs is investigated by considering the slabs to be one-way supported slabs. The square deck slabs used were 1200mm by 1200mm for the w

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10

P.Yagnasri, Vali R.Hussain, and Kumar Reddy S.Naresh. "THREE DIMENSIONAL STRESS STATE OF SMART COMPOSITE LAMINATED CROSS PLY USING HSDT WITH ZIG ZAG FUNCTION." International Journal of Engineering Sciences & Research Technology 5, no. 3 (2016): 98–107. https://doi.org/10.5281/zenodo.47000.

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Thermal analysis of smart composite laminated plate using higher order theory with zig zag function. To develop the analytical procedure and to investigate the thermal characteristics for a three dimensional cross ply laminated plate. The material is considered to be orthotropic under thermal load based on higher order displacement model with zig-zag function, without enforcing zero transverse shear stress on the top and bottom faces of the laminated plates. The related functions and derivations for equation of motion are obtained using the dynamic version of the principle of virtual work or H

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11

Swaminathan, K., and D. T. Naveenkumar. "Analytical Solutions Using a Higher-Order Refined Theory for the Static Analysis of Functionally Graded Material Plates." Advanced Materials Research 705 (June 2013): 30–35. http://dx.doi.org/10.4028/www.scientific.net/amr.705.30.

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Analytical formulations and solutions to the static analysis of simply supported Functionally Graded Material (FGM) plates hitherto not reported in the literature based on a higher-order refined shear deformation theory with nine degrees-of-freedom already reported in the literature are presented. This computational model incorporates the plate deformations which account for the effect of transverse shear deformation. The transverse displacement is assumed to be constant throughout the thickness. In addition, another higher order theory with five degrees-of-freedom and the first order theory a

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12

Kaur, Iqbal, Parveen Lata, and Kulvinder Singh. "Forced Flexural Vibrations in a Thin Nonlocal Rectangular Plate with Kirchhoff’s Thin Plate Theory." International Journal of Structural Stability and Dynamics 20, no. 09 (2020): 2050107. http://dx.doi.org/10.1142/s0219455420501072.

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This study deals with a novel model of forced flexural vibrations in a transversely isotropic thermoelastic thin rectangular plate (TRP) due to time harmonic concentrated load. The mathematical model is prepared for the thin plate in a closed form with the application of Kirchhoff’s love plate theory for nonlocal generalized thermoelasticity with Green–Naghdi (GN)-III theory of thermoelasticity. The nonlocal thin plate has a nonlocal parameter to depict small-scale effect. The double finite Fourier transform technique has been used to find the expressions for lateral deflection, thermal moment

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13

Dr., Mahaboobali Nadaf, and R. J. Fernandes Dr. "Numerical Solutions for Bending Analysis of Multi Layered Anti-Symmetric Angle-Ply Laminated Composite Plates under Sinusoidal Loading." Journal of Scholastic Engineering Science and Management 2, no. 7 (2023): 1–13. https://doi.org/10.5281/zenodo.8054870.

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<strong>This study presents numerical solutions for the analysis of anti-symmetric angle-ply laminated composite plates (LCP) which are simply supported (SS), which have not been reported in existing literature. The solutions are based on a higher-order shear deformation theory (HSDT), providing a more accurate representation of the plate's behaviour. The theoretical model employed in this study considers deformations and a variation of stresses with respect to the thickness direction. The equilibrium equations are derived using the principle of minimum potential energy. Finite element for

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14

Husain, Marwah A., and Mohsin A. Al-shammari. "Effect of Cracks on the Natural Frequency of Cylindrical Shell Structures." Engineering and Technology Journal 38, no. 12A (2020): 1808–17. http://dx.doi.org/10.30684/etj.v38i12a.1513.

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Shell structures are liable to different kinds of defects and damage like cracking and corrosion which may destroy their structural safety and affect the service life. The cracks' effects are significant considerations in the design of cylindrical shell structures as they influence the vibration characteristics and safety. This present work is an experimental study on the free vibration analysis of a cylindrical shell involving circumferential surface crack. The influence of the ratio of shell’s radius to a shell’s thickness (R/h)of the shell structure, crack length in the shell, crack depth i

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15

Husain, Marwah A., and Mohsin A. Al-shammari. "Effect of Cracks on the Natural Frequency of Cylindrical Shell Structures." Engineering and Technology Journal 38, no. 12A (2020): 1808–17. http://dx.doi.org/10.30684/etj.v38i12a.1513.

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Shell structures are liable to different kinds of defects and damage like cracking and corrosion which may destroy their structural safety and affect the service life. The cracks' effects are significant considerations in the design of cylindrical shell structures as they influence the vibration characteristics and safety. This present work is an experimental study on the free vibration analysis of a cylindrical shell involving circumferential surface crack. The influence of the ratio of shell’s radius to a shell’s thickness (R/h)of the shell structure, crack length in the shell, crack depth i

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16

Md., Kaleem Sohail, Naveen Reddy Ch., and Suresh Kumar J. "Vibrational Characteristics of Jute-Banana Hybrid Composites with Effect of Alkali Treatment and PLA Coating." Indian Journal of Science and Technology 17, no. 1 (2024): 80–89. https://doi.org/10.17485/IJST/v17i1.2271.

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Abstract <strong>Objectives:</strong> To investigate the vibration characteristics of jute-banana fiber-reinforced hybrid composites by exploring the influence of surface pre-treatment with sodium hydroxide (NaOH) and coating with Polylactic acid (PLA) using Finite Element Analysis (FEA).<strong> Methods:</strong> Natural fiber reinforced composites (NFRC) have advantages over man-made fibers such as glass, carbon, and Kevlar. However, the hydrophilic characteristic of natural fiber results in poor adherence between fiber and matrix. This reduces the characteristics of the polym

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17

Safarpour, M., and A. Alibeigloo. "Elasticity Solution for Bending and Frequency Behavior of Sandwich Cylindrical Shell with FG-CNTRC Face-Sheets and Polymer Core Under Initial Stresses." International Journal of Applied Mechanics 13, no. 02 (2021): 2150020. http://dx.doi.org/10.1142/s1758825121500204.

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This paper explores the high-accuracy analysis of bending and frequency response of the sandwich cylindrical shell with functionally graded (FG) carbon nanotubes reinforced composite (FG-CNTRC) face-sheets and polymeric core under the effect of initial axial stress and various mechanical loading based upon the three-dimensional theory of elasticity for various sets of boundary conditions. The sandwich structure is composed of multilayers with uniformly dispersed carbon nanotubes (CNT) in each fictitious layer of face-sheets, but its weight fraction changes layer-by-layer along the thickness di

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18

Kateel, Srividyadhare, and Natalie Baddour. "Dynamic Characteristics of a Beam with a Shallow Crack Using Alternative Admissible Functions." Symmetry 14, no. 2 (2022): 311. http://dx.doi.org/10.3390/sym14020311.

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The presence of a crack in a beam leads to changes in its dynamic characteristics and hence changes in its natural frequencies and mode shapes. In this paper, Alternative Admissible Functions (AAF) with penalties for extracting the dynamic characteristics of a Euler–Bernoulli Beam with a shallow crack is proposed and validated. The proposed method has two key advantages. First, the alternative admissible function choice is independent of the boundary conditions, which are modelled via boundary penalty terms. Second, the crack is treated as a penalty function to account for the local stiffness

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19

Zhang, Yuanyuan, Huoming Shen, Yuxing Wang, and Xin Zhang. "Combined effects of surface energy and couple stress on the nonlinear bending of FG-CNTR nanobeams." International Journal of Modern Physics B 34, no. 11 (2020): 2050103. http://dx.doi.org/10.1142/s0217979220501039.

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This paper investigates the size-dependent nonlinear bending of functionally graded carbon nanotube-reinforced (FG-CNTR) nanobeams. Chen–Yao’s surface elasticity and modified couple stress theories are adopted to describe surface effects and couple stress effects, respectively. These nanobeams, in which the carbon nanotube (CNT)-reinforced phases are assumed to be distributed in a gradient along the thickness, are subjected to a uniform pressure and rest on a nonlinear elastic foundation. In accordance with the Euler–Lagrange variational principle, the governing equations and boundary conditio

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20

Attia, Mohamed A., Ammar Melaibari, Rabab A. Shanab, and Mohamed A. Eltaher. "Dynamic Analysis of Sigmoid Bidirectional FG Microbeams under Moving Load and Thermal Load: Analytical Laplace Solution." Mathematics 10, no. 24 (2022): 4797. http://dx.doi.org/10.3390/math10244797.

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This paper presents for the first time a closed-form solution of the dynamic response of sigmoid bidirectional functionally graded (SBDFG) microbeams under moving harmonic load and thermal environmental conditions. The formulation is established in the context of the modified couple stress theory to integrate the effects of microstructure. On the basis of the elasticity theory, nonclassical governing equations are derived by using Hamilton’s principle in combination with the parabolic higher-order shear deformation theory considering the physical neutral plane concept. Sigmoid distribution fun

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21

Ibnorachid, Zakaria, Khalid El Bikri, and Lhoucine Boutahar. "Free Vibration Analysis of Symmetric Sandwich Beams." Applied Mechanics and Materials 872 (October 2017): 399–404. http://dx.doi.org/10.4028/www.scientific.net/amm.872.399.

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The aim of the present work is to study the linear free symmetric vibration of three-layer sandwich beam using the energy method. The zigzag model is used to describe the displacement field. The theoretical model is based on the top and bottom layers behave as Euler-Bernoulli beams while the core layer as a Timoshenko beam. Based on Hamilton’s principle, the governing equation of motion sandwich beam is obtained in order to calculate the linear frequency parameters. Two types of boundary conditions simple supported-simple-supported (SS-SS) and clamped-clamped (C-C) under the influence of mater

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22

Yeganeh, Ali, Mahdi Parvizi Amineh, Alireza Shadman, Sandile Charles Shongwe, and Seyed Mojtaba Mohasel. "Combination of Sequential Sampling Technique with GLR Control Charts for Monitoring Linear Profiles Based on the Random Explanatory Variables." Mathematics 11, no. 7 (2023): 1683. http://dx.doi.org/10.3390/math11071683.

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Control charts play a beneficial role in the manufacturing process by reduction of non-compatible products and improving the final quality. In line with these aims, several adaptive methods in which samples can be taken with variable sampling rates and intervals have been proposed in the area of statistical process control (SPC). In some SPC applications, it is important to monitor a relationship between the response and independent variables—this is called profile monitoring. This article proposes adaptive generalized likelihood ratio (GLR) control charts based on variable sampling interval (

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23

McCoy, Daniel T., Frida A. M. Bender, Daniel P. Grosvenor, et al. "Predicting decadal trends in cloud droplet number concentration using reanalysis and satellite data." Atmospheric Chemistry and Physics 18, no. 3 (2018): 2035–47. http://dx.doi.org/10.5194/acp-18-2035-2018.

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Abstract. Cloud droplet number concentration (CDNC) is the key state variable that moderates the relationship between aerosol and the radiative forcing arising from aerosol–cloud interactions. Uncertainty related to the effect of anthropogenic aerosol on cloud properties represents the largest uncertainty in total anthropogenic radiative forcing. Here we show that regionally averaged time series of the Moderate-Resolution Imaging Spectroradiometer (MODIS) observed CDNC of low, liquid-topped clouds is well predicted by the MERRA2 reanalysis near-surface sulfate mass concentration over decadal t

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24

Giraldo, Esther, Pablo Bonilla, Mara Mellado, et al. "Transplantation of Human-Fetal-Spinal-Cord-Derived NPCs Primed with a Polyglutamate-Conjugated Rho/Rock Inhibitor in Acute Spinal Cord Injury." Cells 11, no. 20 (2022): 3304. http://dx.doi.org/10.3390/cells11203304.

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Neural precursor cell (NPC) transplantation represents a promising therapy for treating spinal cord injuries (SCIs); however, despite successful results obtained in preclinical models, the clinical translation of this approach remains challenging due, in part, to the lack of consensus on an optimal cell source for human neuronal cells. Depending on the cell source, additional limitations to NPC-based therapies include high tumorigenic potential, alongside poor graft survival and engraftment into host spinal tissue. We previously demonstrated that NPCs derived from rat fetal spinal cords primed

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25

Liu, Yang, Reza Moshrefi, William D. A. Rickard, Micheál D. Scanlon, T. Jane Stockmann, and Damien W. M. Arrigan. "Ion-transfer electrochemistry at arrays of nanoscale interfaces between two immiscible electrolyte solutions arranged in hexagonal format." Journal of Electroanalytical Chemistry 909, no. 15 March 2022 (2022): 116113. https://doi.org/10.1016/j.jelechem.2022.116113.

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The electrochemical behaviour of hexagonally arranged nanopore arrays was studied by simple ion transfer across the interface between two immiscible electrolyte solutions (ITIES) formed between water|1,2-dichloroethane. The hexagonal nanoITIES arrays were supported at nanopores fabricated by focused ion beam milling into 50 nm thick silicon nitride films. Six arrays with different pore centre-to-centre distance (<em>r<sub>c</sub></em>) to radius (<em>r<sub>a</sub></em>) ratios were prepared. Within these arrays, the diffusion-limited steady-state currents (<em>i<sub>ss</sub></em>) of tetraprop

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26

Ning, Xuefei, Xianlei Wang, Zhijie Yu, Simeng Lu, and Guan Li. "Inheritance and Molecular Mapping of Tight-placenta Gene and Seed Traits in Chinese Hami Melon ‘Queen’." HortScience 53, no. 6 (2018): 788–94. http://dx.doi.org/10.21273/hortsci13046-18.

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Hami melon ‘Queen’ (Cucumis melo ssp. melo var. ameri Pangalo) is the most widely cultivated and exported type of melon in Xinjiang Province, Northwest China. We previously found the unique traits of Hami melon ‘Queen’ for wave seeds and tight-placenta fruits. An analysis of the inheritance showed that these traits were controlled by two recessive genes wave seed (ws) gene and tight-placenta (tp) gene, respectively. Here, to identify these two traits and melon seed–related traits, segregation populations including BC1 and F2 derived from a cross between ‘Queen’ (P1) and MR-1 (P2) were used as

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27

Sato, Taketomo, Yugo Oki, and Naoki Shiozawa. "Simple Contact-Less Photo-Electrochemical (CL-PEC) Etching for AlGaN/GaN Heterostructures." ECS Meeting Abstracts MA2024-02, no. 36 (2024): 2527. https://doi.org/10.1149/ma2024-02362527mtgabs.

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AlGaN/GaN high electron mobility transistors (HEMTs) are expected to become high-frequency power devices required for next-generation communication systems because of the high breakdown voltage characteristics of GaN-based materials and the high channel density and high electron mobility of the two-dimensional electron gas (2DEG) induced at the AlGaN/GaN hetero-interface. Etching is an important process for transistors using 2DEGs at the AlGaN/GaN hetero-interface as a channel, as it provides isolation to electrically separate the neighboring devices by deep etching from the AlGaN layer to the

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28

Styles, Lori, Carrie Greene Wager, Richard J. Labotka, et al. "Refining Th Predictive Value of Secretory Phospholipase A2 In Sickle Cell Disease Patients with Acute Chest Syndrome." Blood 116, no. 21 (2010): 846. http://dx.doi.org/10.1182/blood.v116.21.846.846.

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Abstract Abstract 846 Elevation of the serum level of secretory phospholipase A2 (sPLA2) has previously been reported to predict impending acute chest syndrome (ACS) in sickle cell disease (SCD) patients admitted with pain. The Sickle Cell Disease Clinical Research Network initiated the PROACTIVE Feasibility Study to 1) assess the feasibility of screening, randomizing and treating with simple transfusion eligible patients and 2) assess the predictive utility of sPLA2 in screening for imminent ACS, characterize the distribution of sPLA2 values in sickle cell patients hospitalized with pain, and

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29

Liu, Yi-Chun, Chien-Te Tu, Wan-Hsuan Hsieh, et al. "(Invited) Stacking High Mobility Channels." ECS Meeting Abstracts MA2023-02, no. 30 (2023): 1512. http://dx.doi.org/10.1149/ma2023-02301512mtgabs.

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Beyond 3 nm node, the transistor architecture of stacked channel gate-all-around (GAA) FETs can replace FinFETs for advanced technology node due to the improvement of power, performance, and area by the enhanced short channel control, design flexibility, and drive current per footprint. High ION and small parasitic RC are the keys to extend nanosheet technologies for N+1 and N+2 nodes. To extend nanosheets to next nodes, we have demonstrated additional enabling knobs such as high mobility channels, high-k gate dielectrics, and highly stacked channels to effectively increase the ION for high pe

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30

Demori Staničić, Zoraida. "Ikona Bogorodice s Djetetom iz crkve Sv. Nikole na Prijekom u Dubrovniku." Ars Adriatica, no. 3 (January 1, 2013): 67. http://dx.doi.org/10.15291/ars.461.

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Recent conservation and restoration work on the icon of the Virgin and Child which stood on the altar in the Church of St. Nicholas at Prijeko in Dubrovnik has enabled a new interpretation of this paining. The icon, painted on a panel made of poplar wood, features a centrally-placed Virgin holding the Child in her arms painted on a gold background between the two smaller figures of St. Peter and St. John the Baptist. The figures are painted in the manner of the fifteenth- and sixteenth-century Dubrovnik style, and represent a later intervention which significantly changed the original appearan

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31

Pradhan, S. C., and A. Sarkar. "Non-local Analyses of Tapered Beams." Journal of Aerospace Sciences and Technologies, August 4, 2023, 93–108. http://dx.doi.org/10.61653/joast.v62i2.2010.491.

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In the present article bending, vibration and buckling analyses of a tapered beam using Eringen non-local elasticity theory is being carried out. The associated governing differential equations are solved employing Rayleigh-Ritz method. Both Euler-Bernoulli and Timoshenko beam theories are considered in the analyses. Present results are in good agreement with those reported in literature. Non-local analyses for tapered beam with simply supported - simply supported (SS) , clamped - simply supported (CS) and clamped - free (CF) boundary conditions are conducted and discussed. It is observed that

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32

Kaur, Narinder, and Anupam Khanna. "A mathematical model on thermally induced vibration of tapered rectangular plate." Acta Technica Jaurinensis, March 31, 2025. https://doi.org/10.14513/actatechjaur.00767.

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A theoretical mathematical model on vibration of rectangular plate is discussed. In this study, the vibration of the bi-parabolic tapered rectangular plate is analyzed under two different boundary conditions i.e. clamped (C-C-C-C) and simply supported (SS-SS-SS-SS). Also, the author considered bi-parabolic variation in the temperature field which occurs due to thermally induced vibration in rectangular plate. Results of frequency for the first two modes of vibration are obtained by using Rayleigh-Ritz method. Variations in frequency for first two modes of vibration at different values of struc

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33

Dutta, Baisali, Amar Nath Nayak, Samir Dirar, Bharadwaj Nanda, and Marios Theofanous. "Nonlinear finite element investigation on shear behaviour of simply supported and continuous RC T-beams retrofitted with deep embedded CFRP/steel bars." Canadian Journal of Civil Engineering, September 28, 2023. http://dx.doi.org/10.1139/cjce-2022-0267.

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The shear performances of simply supported (SS) and continuous (CN) reinforced concrete T-beams strengthened with deep embedded (DE) steel or carbon fibre reinforced polymer bars are compared in this investigation. A nonlinear finite element (NLFE) analysis is performed for this purpose by modelling these beams with the FEM software by validating with the experimental data from the published papers. The experimental and NLFE shear strength values are then compared with those of the available design models to examine the efficacy of these models. Thereafter, the parametric study is conducted to

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34

"QUASI-3D ANALYTIC MODEL FOR FREE VIBRATION ANALYSIS OF SIMPLY SUPPORTED FUNCTIONALLY GRADED PLATES (SS-FGP)." Journal of Theoretical and Applied Mechanics 54, no. 1 (2024). http://dx.doi.org/10.55787/jtams.24.54.1.089.

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35

Talekar, Nitesh, Mangesh Kotambkar, Kiran Kaware, and Akshay Sontakke. "Combined Effect of Stacking Sequence, Mid-Plane Circular Delamination, Fibre Orientation and Boundary Conditions on the Modal Parameters of Four-ply Composite Plate." Sylwan, 2025. https://doi.org/10.59879/exdvp.

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A three-dimensional finite element (FE) model of a four-ply fiber-reinforced composite plate, with and without delamination, is developed using ABAQUS software to investigate its vibration characteristics. Initially, modal analysis is conducted on the undamaged (healthy) composite plate to examine the influence of stacking sequence, boundary conditions (BCs), and fiber orientation angle on the fundamental natural frequency. Four different stacking sequences are analyzed, comprising two symmetric layups—[ϴ/ϴ/ϴ/ϴ] and [ϴ/-ϴ/-ϴ/ϴ]—and two antisymmetric layups—[ϴ/-ϴ/ϴ/-ϴ] and [ϴ/ϴ/-ϴ/-ϴ]. The boun

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Firouz-Abadi, R. D., M. Rahmanian, and M. Amabili. "Free Vibration of Moderately Thick Conical Shells Using a Higher Order Shear Deformable Theory." Journal of Vibration and Acoustics 136, no. 5 (2014). http://dx.doi.org/10.1115/1.4027862.

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The present study considers the free vibration analysis of moderately thick conical shells based on the Novozhilov theory. The higher order governing equations of motion and the associate boundary conditions are obtained for the first time. Using the Frobenius method, exact base solutions are obtained in the form of power series via general recursive relations which can be applied for any arbitrary boundary conditions. The obtained results are compared with the literature and very good agreement (up to 4%) is achieved. A comprehensive parametric study is performed to provide an insight into th

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Li, Chang, and Hai Qing. "Integral nonlocal stress gradient elasticity of functionally graded porous Timoshenko nanobeam with symmetrical or anti‐symmetrical condition." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, September 6, 2023. http://dx.doi.org/10.1002/zamm.202300282.

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AbstractUtilization of symmetrical or anti‐symmetrical condition could improve the calculation efficiency. In this paper, a mathematical formulation is proposed to deal with the symmetrical or anti‐symmetrical condition in an integral nonlocal stress gradient model (INSGM), which is transformed equivalently into differential form with constitutive boundary condition as well as constitutive symmetrical or anti‐symmetrical condition. Unlike general constitutive boundary conditions, an integral item is introduced to constitutive symmetrical and anti‐symmetrical conditions, and they are opposite t

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Jena, Subrat Kumar, S. Pradyumna, S. Chakraverty, and Mohamed A. Eltaher. "Chebyshev–Ritz and Navier's methods for hygro‐magneto vibration of Euler–Bernoulli nanobeam resting on Winkler–Pasternak elastic foundation." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, August 2024. http://dx.doi.org/10.1002/zamm.202400196.

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AbstractThis research employs Chebyshev–Ritz method along with Navier's method to investigate the vibration characteristics of a nanobeam subject to a longitudinal magnetic field and linear hygroscopic environment. The nanobeam is characterized by a Winkler–Pasternak elastic foundation and follows the nonlocal Euler–Bernoulli beam theory. The governing equation of motion is derived using Hamilton's principle, and non‐dimensional frequency parameters are computed for Simply Supported‐Simply Supported (SS), Clamped‐Clamped (CC), and Clamped‐Free (CF) boundary conditions. The motivation behind th

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Guha, Sayantan, Abhishek Kumar Singh, and Sonam Singh. "Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams." Physica Scripta, November 10, 2023. http://dx.doi.org/10.1088/1402-4896/ad0bbd.

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Abstract This work focuses on mathematically studying thermoelastic damping (TED) and frequency shift (FS) in micro-scale piezoelectro-magneto-thermoelastic (PEMT) composite beams composed of BaTiO3-CoFe2O4 combination. Pertaining to cutting-edge micro-technologies implemented in several engineering/scientific applications now-a-days, micro-scale doubly clamped (CC), doubly simply supported (SS), clamped-free (CF), and clamped-simply supported (CS) beams are extensively analyzed. The beams are modeled following the linear Euler–Bernoulli assumptions. The first two eigenvalues of all beams are

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Mahajan, Valmik Madhav, and Amit Sharma. "Evaluation of static responses for layered composite arches." Curved and Layered Structures 10, no. 1 (2023). http://dx.doi.org/10.1515/cls-2022-0185.

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Abstract Layered composite materials are widely used across a variety of sectors, including the automotive industry, aerospace engineering, offshore, and various mechanical domains, because of their strong yet lightweight structures. Therefore, various emergent theories are available on the deformation of layered beams. The previous research studies are insufficient as they are based on deformation of layered composite and sandwich arches with simply supported (SS) end conditions. Therefore, it is a good opportunity for researchers to investigate the arches using exponential shear deformation

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Ugwoke, C. O., M. E. Onyia, and O. A. Oguaghamba. "Evaluation of flexural and distortional elastic stability of mono-symmetric box girders with simply supported conditions using Vlasov theory and power series approach." Nigerian Journal of Technology 43, no. 4 (2025). https://doi.org/10.4314/njt.v43i4.1.

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Mono-symmetric box girders are widely used in bridge construction for their strength, durability, and design flexibility. Traditional single-variable analysis methods, such as trigonometric series under simply supported (SS) conditions, often oversimplify and converge slowly. This study addresses these limitations using Vlasov theory combined with a multi-variable power series approach. Varbanov's modified generalized displacement functions were applied to derive the governing Vlasov differential equations, simplifying strain fields through the unit displacement method at the pole and shear ce

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Dhuria, Mohit, Neeraj Grover, and Kavita Goyal. "A new shear deformation theory in axiomatic framework for bending and buckling analysis of cross-ply and angle-ply laminated composite plates." Journal of Applied Mechanics, January 11, 2023, 1–25. http://dx.doi.org/10.1115/1.4056647.

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Abstract In this study, a new higher order hyperbolic shear deformation theory for mechanical analysis of cross-ply and angle-ply multi-layered plates is developed. Analytical solution to the static and buckling responses of symmetric and anti-symmetric composite laminates is presented. The proposed theory considers secant hyperbolic function of thickness coordinate in the displacement field. Also the developed theory assumes non-linear distribution of displacements and ensures that the top and lower surfaces of the plates have zero shear stresses. The equilibrium equations are obtained by app

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Chattopadhyay, Arka P., and Romesh C. Batra. "Free and Forced Vibrations of Monolithic and Composite Rectangular Plates With Interior Constrained Points." Journal of Vibration and Acoustics 141, no. 1 (2018). http://dx.doi.org/10.1115/1.4041216.

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The restriction of deformations to a subregion of a system undergoing either free or forced vibration due to an irregularity or discontinuity in it is called mode localization. Here, we study mode localization in free and forced vibration of monolithic and unidirectional fiber-reinforced rectangular linearly elastic plates with edges either simply supported (SS) or clamped by using a third-order shear and normal deformable plate theory (TSNDT) with points on either one or two normals to the plate midsurface constrained from translating in all three directions. The plates studied are symmetric

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Shingare, Kishor Balasaheb, and Susmita Naskar. "Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod." Journal of Strain Analysis for Engineering Design, May 9, 2022, 030932472210965. http://dx.doi.org/10.1177/03093247221096518.

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Nanoscale beams and rods are extensively used in several nano-electro-mechanical systems (NEMS) and their applications such as sensors and actuators. The surface and flexoelectricity phenomena have an extensive effect on nanosized structures and are related to their scale-dependent characteristics. This article presents the effect of different surface parameters and flexoelectricity on the electrostatic response of graphene-reinforced hybrid composite (GRHC) nanorods (NRs) using the theory of linear piezoelectricity, Euler-Bernoulli (EB), and Galerkin residual method. Based on these theories,

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PANY, Chıtaranjan. "Çeşitli Kenar Sınır Koşullarına Sahip İnce İzotropik Düz Plakaların ve Eğri Plakaların Panel Çarpıntı Sayısal Çalışması." Journal of Polytechnic, October 24, 2022. http://dx.doi.org/10.2339/politeknik.1139958.

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In this article, supersonic panel flutter analysis of flat plates and curved plates with different edge boundary conditions are studied, using efficient, high precision triangular shallow shell finite elements. The fluid on the underside of the plate was is assumed to be stationary. The linear piston theory can be applied to the top surface of the plate. The linear piston theory was used to evaluate the aerodynamic loads. The solution of a complex eigenvalue problem was formulated according to Hamilton’s principle. Lagrange’s equation of motion was obtained using standard methods for finding e

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Phuong Vo, Nguyen Xuan, Quang Nhu Ho, Tae-Hoon Lim, Seong-Ahn Hong, Suk Woo Nam, and Sung Pil Yoon. "Fabrication and Characterization of an Anode-Side, Substrate-Supported Planar SOFC." Journal of Fuel Cell Science and Technology 8, no. 5 (2011). http://dx.doi.org/10.1115/1.4004173.

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This paper describes a simple and reliable method of fabricating an anode-side, substrate-supported (AS-SS) planar cell constructed of a porous 3YSZ support and thin, selective-area layers of NiO/YSZ anode, 8YSZ electrolyte, and LSM cathode sequentially coated on the support. Extension of triple phase boundary (TBP) at the electrode/electrolyte interfaces was done by coating SDC thin films within the pores of the electrodes using a sol-gel technique to improve performance of the cell. An anode-supported (AS) planar cell was produced using the same procedure and technique, thus expected to have

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Liu, Yixuan, Nuozhou Liu, Peiyan Sun, Yi Liu, and Wei Hua. "Periodontitis and Sjogren’s syndrome: a bidirectional two-sample mendelian randomization study." BMC Oral Health 24, no. 1 (2024). http://dx.doi.org/10.1186/s12903-024-04151-7.

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Abstract Objectives Observational studies indicated a controversial relationship between periodontitis (PD) and Sjogren’s syndrome (SS). To overcome restrictions in conventional observational studies, we conducted a two-sample Mendelian randomization (MR) analysis to assess the potential bidirectional relationship between PD and SS. Methods We utilized the largest available genome-wide association study (GWAS) of European ancestry on both PD (17,353 cases-28,210 controls) and SS (2495 cases-365,533 controls) for MR genetic instrument selection. The random-effect inverse-variance weighted (IVW)

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Liu, Haiyan, Bin Wang, Ruodu Wang, and Sheng Chao Zhuang. "Distorted Optimal Transport." Mathematics of Operations Research, July 24, 2025. https://doi.org/10.1287/moor.2024.0591.

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Classic optimal transport theory is formulated through minimizing the expected transport cost between two given distributions. We propose the framework of distorted optimal transport by minimizing a distorted expected cost, which is the cost under a nonlinear expectation. This new formulation is motivated by concrete problems in decision theory, robust optimization, and risk management, and it has many distinct features compared with the classic theory. We choose simple cost functions and study different distortion functions and their implications on the optimal transport plan. We show that on

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Liu, Qi, Xintong Zhou, Kunjing Liu, et al. "Exploring risk factors for autoimmune diseases complicated by non-hodgkin lymphoma through regulatory T cell immune-related traits: a Mendelian randomization study." Frontiers in Immunology 15 (May 28, 2024). http://dx.doi.org/10.3389/fimmu.2024.1374938.

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BackgroundThe effect of immune cells on autoimmune diseases (ADs) complicated by non-Hodgkin lymphoma (NHL) has been widely recognized, but a causal relationship between regulatory T cell (Treg) immune traits and ADs complicated by NHL remains debated.MethodsAggregate data for 84 Treg-related immune traits were downloaded from the Genome-Wide Association Study (GWAS) catalog, and GWAS data for diffuse large B-cell lymphoma (DLBCL; n=315243), follicular lymphoma (FL; n=325831), sjögren’s syndrome (SS; n=402090), rheumatoid arthritis (RA; n=276465), dermatopolymyositis (DM; n=311640), psoriasis

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Zuo, Dongxu, Suman Pradhan, Manami Banerjee, et al. "Photocatalytic Aqueous Reforming of Methyl Formate." Advanced Materials, July 11, 2025. https://doi.org/10.1002/adma.202509890.

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AbstractGreen hydrogen is critical to establish a sustainable energy future as it offers a clean, renewable, and a versatile alternative for decarbonizing industries, transportation, and power generation. However, the limitations of current methods significantly restrict the scope and hinder many of the envisioned applications. This study aims to report on the first example of a 3d‐metal‐based (Cu) heterogeneous photocatalytic system to produce green hydrogen via dehydrogenation of methyl formate (MF), a reaction previously known to require 4d/5d transition metals. Employing a Cu‐based atomica

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