Determining an optimal value of K in K-means clustering

Mehar, Arshad Muhammad; Matawie, Kenan M; Maeder, Anthony

doi:10.1109/bibm.2013.6732734

Cited by 25 publications

(15 citation statements)

References 16 publications

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“…The CNT-reinforced sandwich plate model is derived mathematically using the high-order type of mid-plane kinematics to maintain the true variation the out-of-plane shear stress and strain and conceded as [46]:…”

Section: Displacement Field Kinematicsmentioning

confidence: 99%

“…The stress, fracture and vibration responses of the delaminated composite plate structure studied using the HSDT kinematic model by Szekrenyes [41,42]. Further, the nonlinear bending behavior of the FG-CNTRC curved panel has been computed by Mehar and Panda [43] using HSDT kinematic model and Green-Lagrange based geometric nonlinearity. The HSDT mid-plane kinematics in association with the discrete Kirchhoff quadrilateral element employed by Kulkarni and Kapuria [44] to examine the vibration responses of the sandwich structure.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach

Mehar

Panda

Patle³

2017

Polymer Composites

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The frequency, deflection, and stress values of carbon nanotube reinforced sandwich plate structure is investigated numerically under the influence of the mechanical loading and thermal field. The effective properties of individual components of sandwich structure (face sheet and core layer) are assumed to be temperature‐dependent and modeled via thermoelastic constitutive relations. In addition, the distribution of carbon nanotube through the thickness of the face sheets are assumed to follow the rule based grading pattern. Further, the sandwich structural panel modeled using the extant high‐order shear deformation kinematic theory for the mathematical purpose. The desired structural responses (frequency, deflection and stress) obtained numerically through a generic finite element based computer code developed in MATLAB. The convergence criteria and the accuracy of the current high‐order finite element solutions have been assessed by solving a sufficient number of numerical examples. Lastly, the influences of structural parameters (core to face thickness ratios, carbon nanotube fractions, type of loading, aspect ratios, end constraints, length to thickness ratios, type of carbon nanotube gradings, and type of temperature gradings) on the transverse deflection and frequencies of carbon nanotube‐reinforced sandwich structure are obtained under the elevated thermal field and the subsequent conclusions discussed accordingly. POLYM. COMPOS., 39:3792–3809, 2018. © 2017 Society of Plastics Engineers

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Section: Displacement Field Kinematicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach

Mehar

Panda

Patle³

2017

Polymer Composites

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“…5. Arshad M. Mehar et.al [9] has introduced k means clustering algorithm for determining optimal value of k.Mostly distance based method are used to calculate the value of k. In contrast with other methodologies in this algorithm the joint probability is used. The fundamental idea is to analyze the movement of objects between clusters.…”

Section: Mapreduce Pardigmmentioning

confidence: 99%

Issues of K Means Clustering While Migrating to Map Reduce Paradigm with Big Data: A Survey

Nirmal¹,

Satyanarayana²

2016

IJECE

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<p><span>In recent times Big Data Analysis are imminent as essential area in the field of Computer Science. Taking out of significant information from Big Data by separating the data in to distinct group is crucial task and it is beyond the scope of commonly used personal machine. It is necessary to adopt the distributed environment similar to map reduce paradigm and migrate the data mining algorithm using it. In Data Mining the partition based K Means Clustering is one of the broadly used algorithms for grouping data according to the degree of similarities between data. It requires the number of K and initial centroid of cluster as input. By surveying the parameters preferred by algorithm or opted by user influence the functionality of Algorithm. It is the necessity to migrate the K means Clustering on MapReduce and predicts the value of k using machine learning approach. For selecting the initial cluster the efficient method is to be devised and united with it. This paper is comprised the survey of several methods for predicting the value of K in K means Clustering and also contains the survey of different methodologies to find out initial center of the cluster. Along with initial value of k and initial centroid selection the objective of proposed work is to compact with analysis of categorical data.</span></p>

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“…Lei et al [19] used the element-free kp-Ritz method for free vibration analysis of FG-CNTRC plates in thermal environment. Mehar et al [20] studied on the free vibration behavior of straight CNT-reinforced nanocomposite plates under uniform thermal field by suitable isoparametric finite element method (FEM) based on higher order shear deformation theory (HSDT). Moradi-Dastjerdi et al [21] used an moving least squares (MLSs) shape function mesh-free method to examine dynamic behavior of FG-CNTRC cylinders.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic vibration analysis of functionally graded wavy carbon nanotube‐reinforced cylinders

Moradi‐Dastjerdi

Payganeh

2017

Polymer Composites

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In this study, free vibration behavior of functionally graded carbon nanotube‐reinforced composite (FG‐CNTRC) cylinders subjected to uniform temperature environment or thermal gradient loading is investigated by a mesh‐free method. The nanocomposite cylinders are made of a polymer matrix and wavy single‐walled carbon nanotubes (SWCNTs). The volume fraction of carbon nanotubes (CNTs) are assumed variable along the radial direction of the axisymmetric cylinder. Also, material properties of the polymer and CNT are assumed temperature‐dependent and mechanical properties of the nanocomposite are estimated by a micromechanical model in volume fraction form. In the mesh‐free analysis, moving least squares shape functions are used to approximate displacement field in the weak form of motion equation and the transformation method is used to impose essential boundary conditions. The material properties and natural frequency of the nanocomposite cylinders are derived after the derivation of cylinder temperature and by considering of the temperature and location. Effects of CNT distribution pattern and volume fraction, thermal, cylinder dimensions and CNT aspect ratio and waviness are investigated on the vibration behavior of the nanocomposite cylinders. POLYM. COMPOS., 39:E826–E834, 2018. © 2017 Society of Plastics Engineers

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Determining an optimal value of K in K-means clustering

Cited by 25 publications

References 16 publications

Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach

Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach

Issues of K Means Clustering While Migrating to Map Reduce Paradigm with Big Data: A Survey

Thermoelastic vibration analysis of functionally graded wavy carbon nanotube‐reinforced cylinders

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