Pub Date : 2021-05-14DOI: 10.1080/15502287.2021.1921882
O. Ragb, M. S. Matbuly
Abstract Different numerical schemes are introduced to formulate and solve nonlinear vibration analysis of elastically supported multilayer composite plate problems. The type of elastic foundation is Winkler - Pasternak foundation model. The governing equations are formulated according to a first order transverse shear theory. Examined schemes are based on polynomial, sinc, discrete singular convolution differential quadrature (DSCDQ) methods. These schemes are appointed to reduce the problem to nonlinear Eigen-value problem. The reduced system is solved iteratively. Numerical analysis is performed to explore influence of different computational characteristics on convergence and efficiency of the obtained results. Comprehensive numerical results validate the solutions by comparison with those obtained by the exact and numerical ones. Moreover, a parametric study is introduced to investigate the influence of supporting conditions, foundation parameters, elastic and geometric characteristics of the vibrated plate, on natural frequencies and mode shapes. The obtained results exhibit that the (DSCDQM) is an accurate efficient method in the dynamic analysis of discontinuity plates resting on nonlinear elastic foundation.
{"title":"Nonlinear vibration analysis of elastically supported multi-layer composite plates using efficient quadrature techniques","authors":"O. Ragb, M. S. Matbuly","doi":"10.1080/15502287.2021.1921882","DOIUrl":"https://doi.org/10.1080/15502287.2021.1921882","url":null,"abstract":"Abstract Different numerical schemes are introduced to formulate and solve nonlinear vibration analysis of elastically supported multilayer composite plate problems. The type of elastic foundation is Winkler - Pasternak foundation model. The governing equations are formulated according to a first order transverse shear theory. Examined schemes are based on polynomial, sinc, discrete singular convolution differential quadrature (DSCDQ) methods. These schemes are appointed to reduce the problem to nonlinear Eigen-value problem. The reduced system is solved iteratively. Numerical analysis is performed to explore influence of different computational characteristics on convergence and efficiency of the obtained results. Comprehensive numerical results validate the solutions by comparison with those obtained by the exact and numerical ones. Moreover, a parametric study is introduced to investigate the influence of supporting conditions, foundation parameters, elastic and geometric characteristics of the vibrated plate, on natural frequencies and mode shapes. The obtained results exhibit that the (DSCDQM) is an accurate efficient method in the dynamic analysis of discontinuity plates resting on nonlinear elastic foundation.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127356322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-05-13DOI: 10.1080/15502287.2021.1921883
R. Rohit, R. Ganguli
Abstract Multi-fidelity models have exploded in popularity as they promise to circumvent the computational complexity of a high-fidelity model without sacrificing accuracy. In this paper, we demonstrate the process of building a multi-fidelity model and illustrate its advantage through an uncertainty quantification study using the beam vibration problem. A multi-fidelity co-kriging model is built with data from low- and high-fidelity models, which are finite element models with coarse and fine discretization, respectively. The co-kriging model’s predictive capabilities are excellent, achieving accuracy within 1% of the high-fidelity model while providing 98% computational savings over the high-fidelity model in the uncertainty quantification study.
{"title":"Co-kriging based multi-fidelity uncertainty quantification of beam vibration using coarse and fine finite element meshes","authors":"R. Rohit, R. Ganguli","doi":"10.1080/15502287.2021.1921883","DOIUrl":"https://doi.org/10.1080/15502287.2021.1921883","url":null,"abstract":"Abstract Multi-fidelity models have exploded in popularity as they promise to circumvent the computational complexity of a high-fidelity model without sacrificing accuracy. In this paper, we demonstrate the process of building a multi-fidelity model and illustrate its advantage through an uncertainty quantification study using the beam vibration problem. A multi-fidelity co-kriging model is built with data from low- and high-fidelity models, which are finite element models with coarse and fine discretization, respectively. The co-kriging model’s predictive capabilities are excellent, achieving accuracy within 1% of the high-fidelity model while providing 98% computational savings over the high-fidelity model in the uncertainty quantification study.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130161404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-05-12DOI: 10.1080/15502287.2021.1920645
R. Naveen Kumar, H. B. Mallikarjuna, Nirmala Tigalappa, R. J. Punith Gowda, Deepak Umrao Sarwe
Abstract The current paper explores the flow of dusty nanoliquid over a rotating and stretchable disk with non-uniform heat sink/source. Further, we have done a comparative study on Single wall carbon nanotubes (SWCNT)-water and multi wall carbon nanotubes (MWCNT)-water based dusty fluid flows. By means of apt similarity variables, the governing equations are converted to set of nonlinear ordinary differential equations and then they are numerically tackled using Runge–Kutta–Fehlberg’s fourth fifth order (RKF45) method by adopting shooting technique. The influence of non-dimensional parameters on the heat transfer fields are incorporated and extensively discussed by means of appropriate graphs. Further, the reduced shear stresses at the disk in the tangential direction, in the radial direction and the heat transference rates of the fluid and particles are deliberated graphically. Results reveal that, the escalating values of space and temperature dependent heat source/sink parameters improves the heat transference of both liquids. The SWCNT-water based fluid shows improved shear stress in tangential and radial direction when compared to MWCNT-water based fluid for both the phases. The SWCNT-water based fluid shows enhanced heat transfer rate than MWCNT-water based fluid for both fluid and dust phases.
{"title":"Carbon nanotubes suspended dusty nanofluid flow over stretching porous rotating disk with non-uniform heat source/sink","authors":"R. Naveen Kumar, H. B. Mallikarjuna, Nirmala Tigalappa, R. J. Punith Gowda, Deepak Umrao Sarwe","doi":"10.1080/15502287.2021.1920645","DOIUrl":"https://doi.org/10.1080/15502287.2021.1920645","url":null,"abstract":"Abstract The current paper explores the flow of dusty nanoliquid over a rotating and stretchable disk with non-uniform heat sink/source. Further, we have done a comparative study on Single wall carbon nanotubes (SWCNT)-water and multi wall carbon nanotubes (MWCNT)-water based dusty fluid flows. By means of apt similarity variables, the governing equations are converted to set of nonlinear ordinary differential equations and then they are numerically tackled using Runge–Kutta–Fehlberg’s fourth fifth order (RKF45) method by adopting shooting technique. The influence of non-dimensional parameters on the heat transfer fields are incorporated and extensively discussed by means of appropriate graphs. Further, the reduced shear stresses at the disk in the tangential direction, in the radial direction and the heat transference rates of the fluid and particles are deliberated graphically. Results reveal that, the escalating values of space and temperature dependent heat source/sink parameters improves the heat transference of both liquids. The SWCNT-water based fluid shows improved shear stress in tangential and radial direction when compared to MWCNT-water based fluid for both the phases. The SWCNT-water based fluid shows enhanced heat transfer rate than MWCNT-water based fluid for both fluid and dust phases.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129955492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-05-10DOI: 10.1080/15502287.2021.1916792
P. Maji, B. N. Singh
Abstract 3D braided composite has significant attractiveness compared to the classical composite, such as better in-plane mechanical properties, strength in the thickness directions, damage tolerance, anti-delamination capability, etc. In the present work, a new shear deformation theory with 12 degrees of freedom per node is implemented in the framework of the 3D finite element formulation for the free vibration analysis of 3D braided pre-twisted conical shells under rotation. For moderate rotational speeds, the Coriolis effect is neglected. The equivalent material properties of the 3D braided rotating conical shells are computed by bridging models base on a volume averaging method (VAM).
{"title":"Shear deformation theory for free vibration responses of 3D braided pre-twisted conical shells under rotation","authors":"P. Maji, B. N. Singh","doi":"10.1080/15502287.2021.1916792","DOIUrl":"https://doi.org/10.1080/15502287.2021.1916792","url":null,"abstract":"Abstract 3D braided composite has significant attractiveness compared to the classical composite, such as better in-plane mechanical properties, strength in the thickness directions, damage tolerance, anti-delamination capability, etc. In the present work, a new shear deformation theory with 12 degrees of freedom per node is implemented in the framework of the 3D finite element formulation for the free vibration analysis of 3D braided pre-twisted conical shells under rotation. For moderate rotational speeds, the Coriolis effect is neglected. The equivalent material properties of the 3D braided rotating conical shells are computed by bridging models base on a volume averaging method (VAM).","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115981232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-05-10DOI: 10.1080/15502287.2021.1916793
S. Kshirsagar, S. Natarajan
Abstract In this work, we propose to replace the conventional flat stainless steel gasket in flanged bolted joints used in seawater piping with an O-ring polymer gasket to provide a leak-proof joint under bolt preload. Modeled as hyperelastic material, the polymer gasket undergoes large deformation when sandwiched between the pipe flanges. To alleviate the commonly encountered problems due to element distortion, we use a variant of the smoothed finite element, the SFEM within Abaqus standard to simulate the flanged bolted joint. A systematic study is performed to arrive at an acceptable design for leak-proof flanged bolted joints.
{"title":"Design and analysis of O-ring polymer gasket for flanged bolted joints in seawater piping using α-FEM","authors":"S. Kshirsagar, S. Natarajan","doi":"10.1080/15502287.2021.1916793","DOIUrl":"https://doi.org/10.1080/15502287.2021.1916793","url":null,"abstract":"Abstract In this work, we propose to replace the conventional flat stainless steel gasket in flanged bolted joints used in seawater piping with an O-ring polymer gasket to provide a leak-proof joint under bolt preload. Modeled as hyperelastic material, the polymer gasket undergoes large deformation when sandwiched between the pipe flanges. To alleviate the commonly encountered problems due to element distortion, we use a variant of the smoothed finite element, the SFEM within Abaqus standard to simulate the flanged bolted joint. A systematic study is performed to arrive at an acceptable design for leak-proof flanged bolted joints.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126929188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-27DOI: 10.1080/15502287.2021.1916791
H. Alisadeghi, S. Karimian, Amin Balazadeh Koucheh
The pressure-velocity coupling method of MCIM (Mass Corrected Interpolation Method) and different solution algorithms of this method were previously developed and tested for steady and unsteady inc...
{"title":"Comparison of collocated methods of MCIM and PWIM for different solution algorithms in CVFEM","authors":"H. Alisadeghi, S. Karimian, Amin Balazadeh Koucheh","doi":"10.1080/15502287.2021.1916791","DOIUrl":"https://doi.org/10.1080/15502287.2021.1916791","url":null,"abstract":"The pressure-velocity coupling method of MCIM (Mass Corrected Interpolation Method) and different solution algorithms of this method were previously developed and tested for steady and unsteady inc...","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131545453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-19DOI: 10.1080/15502287.2021.1904462
Raja Gopal Tangella, P. Kumbhar, R. Annabattula
Abstract Numerical modeling of the thermo-elastic fracture using a hybrid phase-field method is presented. The model’s capability to simulate complex thermo-elastic crack propagation paths under the temperature and mechanical loads’ influence is demonstrated through a few example problems. The evolution of complex crack patterns in a ceramic plate subjected to quenching are simulated. Further, the behavior of functionally graded specimens with a spatial variation of material properties when subjected to thermal shock is investigated. A staggered solution scheme is used to solve the coupled system of multi-field partial differential equations using an open-source finite element software FEniCS.
{"title":"Hybrid phase-field modeling of thermo-elastic crack propagation","authors":"Raja Gopal Tangella, P. Kumbhar, R. Annabattula","doi":"10.1080/15502287.2021.1904462","DOIUrl":"https://doi.org/10.1080/15502287.2021.1904462","url":null,"abstract":"Abstract Numerical modeling of the thermo-elastic fracture using a hybrid phase-field method is presented. The model’s capability to simulate complex thermo-elastic crack propagation paths under the temperature and mechanical loads’ influence is demonstrated through a few example problems. The evolution of complex crack patterns in a ceramic plate subjected to quenching are simulated. Further, the behavior of functionally graded specimens with a spatial variation of material properties when subjected to thermal shock is investigated. A staggered solution scheme is used to solve the coupled system of multi-field partial differential equations using an open-source finite element software FEniCS.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125015430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-15DOI: 10.1080/15502287.2021.1910750
M. Malacarne, M. A. Pinto, S. R. Franco
Abstract This work aims to discuss a proposed solution for wave equations that utilize discretization by means of the finite difference method, weighted by a parameter η, with sweeping done according to the time-stepping method. The multigrid method is employed to speed up the convergence in obtaining the solution of the system of equations resulting from the discretization. To validate the proposed model, the discretization errors, effective and apparent orders, convergence factor, orders of complexity, and the computational time were assessed. A comparison between the singlegrid and multigrid methods was carried out in order to determine the most advantageous one.
{"title":"Performance of the multigrid method with time-stepping to solve 1D and 2D wave equations","authors":"M. Malacarne, M. A. Pinto, S. R. Franco","doi":"10.1080/15502287.2021.1910750","DOIUrl":"https://doi.org/10.1080/15502287.2021.1910750","url":null,"abstract":"Abstract This work aims to discuss a proposed solution for wave equations that utilize discretization by means of the finite difference method, weighted by a parameter η, with sweeping done according to the time-stepping method. The multigrid method is employed to speed up the convergence in obtaining the solution of the system of equations resulting from the discretization. To validate the proposed model, the discretization errors, effective and apparent orders, convergence factor, orders of complexity, and the computational time were assessed. A comparison between the singlegrid and multigrid methods was carried out in order to determine the most advantageous one.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"110 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114093485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-04-13DOI: 10.1080/15502287.2021.1904461
Jun-Sheng Duan, R. Rach, A. Wazwaz
Abstract The modified decomposition method is applied to analyze the transverse vibrations of tapered rotating beams incorporating both axial centrifugal stiffening and flexible end constraints. Unlike prior analyses relying upon a power series expansion about the left end constraint, we instead expand the solution for the transverse deflection about the interval midpoint, which has significant advantages including an increased rate of convergence and readily adaptation to the Robin-type boundary conditions. The modified decomposition method facilitates systematic solution of the mathematical model including parametric simulations where the boundary conditions can be varied without resolving the original equation.
{"title":"Simulation of the eigenvalue problem for tapered rotating beams by the modified decomposition method","authors":"Jun-Sheng Duan, R. Rach, A. Wazwaz","doi":"10.1080/15502287.2021.1904461","DOIUrl":"https://doi.org/10.1080/15502287.2021.1904461","url":null,"abstract":"Abstract The modified decomposition method is applied to analyze the transverse vibrations of tapered rotating beams incorporating both axial centrifugal stiffening and flexible end constraints. Unlike prior analyses relying upon a power series expansion about the left end constraint, we instead expand the solution for the transverse deflection about the interval midpoint, which has significant advantages including an increased rate of convergence and readily adaptation to the Robin-type boundary conditions. The modified decomposition method facilitates systematic solution of the mathematical model including parametric simulations where the boundary conditions can be varied without resolving the original equation.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126631716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-03-19DOI: 10.1080/15502287.2021.1900451
R. V. Varun Kumar, Prasanna Gunderi Dhananjaya, R. Naveen Kumar, R. J. Punith Gowda, B. Prasannakumara
Abstract The current article explores the impact of magnetic effect on the Casson nanoliquid flow over a curved stretching sheet with the influence of chemical reaction. Further, the heat and mass transference characteristics are analyzed by means of Brownian motion, exponential heat source and thermophoresis effects. Governing equations of the described flow problem are transformed into ordinary differential equations by means of similarity variables. These reduced equations are numerically solved by Runge-Kutta-Fehlberg fourth-fifth (RKF 45) order scheme with shooting method. Results reveal that, the escalating values of curvature parameter improves the velocity gradient whereas, converse trend is detected in thermal gradient.
{"title":"Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction","authors":"R. V. Varun Kumar, Prasanna Gunderi Dhananjaya, R. Naveen Kumar, R. J. Punith Gowda, B. Prasannakumara","doi":"10.1080/15502287.2021.1900451","DOIUrl":"https://doi.org/10.1080/15502287.2021.1900451","url":null,"abstract":"Abstract The current article explores the impact of magnetic effect on the Casson nanoliquid flow over a curved stretching sheet with the influence of chemical reaction. Further, the heat and mass transference characteristics are analyzed by means of Brownian motion, exponential heat source and thermophoresis effects. Governing equations of the described flow problem are transformed into ordinary differential equations by means of similarity variables. These reduced equations are numerically solved by Runge-Kutta-Fehlberg fourth-fifth (RKF 45) order scheme with shooting method. Results reveal that, the escalating values of curvature parameter improves the velocity gradient whereas, converse trend is detected in thermal gradient.","PeriodicalId":315058,"journal":{"name":"International Journal for Computational Methods in Engineering Science and Mechanics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124184786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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