Non-linear free vibrations and post-buckling analysis of shear flexible functionally graded beams

K. Sanjay Anandrao,R.K. Gupta,P. Ramchandran,G. Venkateswara Rao 국제구조공학회 2012 Structural Engineering and Mechanics, An Int'l Jou Vol.44 No.3

Large amplitude free vibration and thermal post-buckling of shear flexible Functionally Graded Material (FGM) beams is studied using finite element formulation based on first order Timoshenko beam theory. Classical boundary conditions are considered. The ends are assumed to be axially immovable. The von-Karman type strain-displacement relations are used to account for geometric non-linearity. For all the boundary conditions considered, hardening type of non-linearity is observed. For large amplitude vibration of FGM beams, a comprehensive study has been carried out with various lengths to height ratios, maximum lateral amplitude to radius of gyration ratios, volume fraction exponents and boundary conditions. It is observed that, for FGM beams, the non-linear frequencies are dependent on the sign of the vibration amplitudes. For thermal post-buckling of FGM beams, the effect of shear flexibility on the structural response is discussed in detail for different volume fraction exponents, length to height ratios and boundary conditions. The effect of shear flexibility is observed to be predominant for clamped beam as compared to simply supported beam.

Meta-Heuristic Algorithms to Improve Fuzzy C-Means and K-Means Clustering for Location Allocation of Telecenters Under E-Governance in Developing Nations

Rajan Gupta,Sunil Kumar Muttoo,Saibal K. Pal 한국지능시스템학회 2019 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.19 No.4

The telecenter, popularly known as the rural kiosk or common service center, is an important building block for the improvement of e-governance in developing nations as they help in better citizen engagement. Setting up of these centers at appropriate locations is a challenging task; inappropriate locations can lead to a huge loss to the government and allied stakeholders. This study proposes the use of various meta-heuristic algorithms (particle swarm optimization, bat algorithm, and ant colony optimization) for the improvement of traditional clustering approaches (K-means and fuzzy C-means) used in the facility location allocation problem and maps them for the betterment of telecenter location allocation. A dataset from the Indian region was considered for the purpose of this experiment. The performance of the algorithms when applied to traditional facility location allocation problems such as set-cover, P-median, and the P-center problem was investigated, and it was found that their efficiency improved by 20%–25% over that of existing algorithms.

AN ITERATIVE METHOD FOR ORTHOGONAL PROJECTIONS OF GENERALIZED INVERSES

Srivastava, Shwetabh,Gupta, D.K. The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.1

This paper describes an iterative method for orthogonal projections $AA^+$ and $A^+A$ of an arbitrary matrix A, where $A^+$ represents the Moore-Penrose inverse. Convergence analysis along with the first and second order error estimates of the method are investigated. Three numerical examples are worked out to show the efficacy of our work. The first example is on a full rank matrix, whereas the other two are on full rank and rank deficient randomly generated matrices. The results obtained by the method are compared with those obtained by another iterative method. The performance measures in terms of mean CPU time (MCT) and the error bounds for computing orthogonal projections are listed in tables. If $Z_k$, k = 0,1,2,... represents the k-th iterate obtained by our method then the sequence of the traces {trace($Z_k$)} is a monotonically increasing sequence converging to the rank of (A). Also, the sequence of traces {trace($I-Z_k$)} is a monotonically decreasing sequence converging to the nullity of $A^*$.

An iterative method for orthogonal projections of generalized inverses

Shwetabh Srivastava,D.K. Gupta 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.1

This paper describes an iterative method for orthogonal projections AA⍭ and A⍭A of an arbitrary matrix A, where A⍭ represents the Moore-Penrose inverse. Convergence analysis along with the first and second order error estimates of the method are investigated. Three numerical examples are worked out to show the efficacy of our work. The first example is on a full rank matrix, whereas the other two are on full rank and rank deficient randomly generated matrices. The results obtained by the method are compared with those obtained by another iterative method. The performance measures in terms of mean CPU time (MCT) and the error bounds for computing orthogonal projections are listed in tables. If Zk k = 0, 1, 2, ... represents the k-th iterate obtained by our method then the sequence of the traces {trace(Zk)} is a monotonically increasing sequence converging to the rank of (A). Also, the sequence of traces {trace(I - Zk)} is a monotonically decreasing sequence converging to the nullity of A*.

Electronic structure, magnetic and structural properties of Ni doped ZnO nanoparticles

Kumar, S.,Vats, P.,Gautam, S.,Gupta, V.P.,Verma, K.D.,Chae, K.H.,Hashim, Mohd.,Choi, H.K. Pergamon Press 2014 Materials research bulletin Vol.59 No.-

We report structural, magnetic and electronic structural properties of Ni doped ZnO nanoparticles prepared by auto-combustion method. The prepared nanoparticles were characterized by using X-ray diffraction (XRD), high resolution transmission electron microscopy (HR-TEM), near edge X-ray absorption fine structure (NEXAFS) spectroscopy, and dc magnetization measurements. The XRD and HR-TEM results indicate that Ni doped ZnO nanoparticles have single phase nature with wurtzite lattice and exclude the presence of secondary phase. NEXAFS measurements performed at Ni L<SUB>3,2</SUB>-edges indicates that Ni ions are in +2 valence state and exclude the presence of Ni metal clusters. O K-edge NEXAFS spectra indicate an increase in oxygen vacancies with Ni-doping, while Zn L<SUB>3,2</SUB>-edge show the absence of Zn-vacancies. The magnetization measurements performed at room temperature shows that pure and Ni doped ZnO exhibits ferromagnetic behavior.

Comparative analysis of VMT genes/proteins in selected plant species with emphasis on bread wheat (Triticum aestivum L.)

Sharma Hemant,Shayaba,Kumar Rahul,Kumar Jitendra,Bhadana Deepa,Batra Ritu,Singh Rakhi,Kumar Sachin,Roy Joy K,Balyan Harindra S.,Gupta Pushpendra K. 한국유전학회 2023 Genes & Genomics Vol.45 No.11

Background In recent years, the study of molecular basis of uptake, transport and utilization of grain Fe/Zn (GFe/GZn) in wheat has been an active area of research. As a result, it has been shown that a number of transporters are involved in uptake and transport of Fe. In a recent study, knockout of a transporter gene OsVMT (VACUOLAR MUGINEIC ACID TRANSPORTER) in rice was shown to be involved in Fe homoeostasis. Objective In this study, we analysed VMT genes among six monocots and three dicots with major emphasis on wheat VMT genes (TaVMTs), taking OsVMT gene as a reference. Methods and results Using OsVMT gene as a reference, VMT genes were identified and sequence similarities were examined among six monocots and three dicots. Each VMT protein carried one functional domain and 7 to 10 distinct motifs (including 9 novel motifs). The qRT-PCR analysis showed differential expression by all the six TaVMT genes in pairs of contrasting wheat genotypes with high (FAR4 and WB02) and low (K8027 and HD3226) GFe/GZn at two different grain filling stages (14 DAA and 28 DAA). TaVMT1 genes showed up-regulation in high GFe/Zn genotypes relative to low GFe/Zn genotypes, whereas the TaVMT2 genes showed down-regulation or nonsignificant up-regulation in a few cases. Conclusions At 14 DAA, each of the six TaVMT genes exhibited higher expression in wheat genotypes with high GFe and GZn relative to those with low GFe and GZn, suggesting major role of VMT genes in improvement of grain Fe/Zn homoeostasis, thus making TaVMT genes useful for improvement in Fe/Zn in wheat grains.

Modification of surface behaviour of Eichhornia crassipes using surface active agent: An adsorption study

Sumanjit,Seema,R.K. Mahajan,Vinod Kumar Gupta 한국공업화학회 2015 Journal of Industrial and Engineering Chemistry Vol.21 No.1

Eichhornia charcoal modified with cationic surfactant is used as an adsorbent. The characterization wasdone by Fourier transform infrared spectroscopy, Brunauer–Emmett–Teller, X-ray diffraction, scanningelectron micrograph, and point of zero charge measurements. Effect of contact time, initial dyeconcentration, adsorbent dose and temperature were studied. Experimental data were contemplated forvarious kinetic models and thermodynamic models and interpreted that adsorption followed secondorder kinetic model. Langmuir model deduced the maximum adsorption capacity as 103.2 mg g 1 at323 K. Gibbs free energy, enthalpy and entropy have been calculated and the present adsorption systemis speculated as spontaneous and endothermic in nature.

Synthesis and adsorption properties of mesoporous material for the removal of dye safranin: Kinetics, equilibrium, and thermodynamics

Sumanjit Kaur,Seema Rani,R.K. Mahajan,M. Asif,Vinod Kumar Gupta 한국공업화학회 2015 Journal of Industrial and Engineering Chemistry Vol.22 No.-

A highly ordered large pore mesoporous adsorbent MCM-41 is synthesized and characterized by XRD,BET, FTIR and SEM. Effect of contact time, initial dye concentration, adsorbent dose, pH and temperaturewere studied for adsorption of dye safranin on MCM-41. Experimental data were investigated for variousthermodynamic models and kinetic models and corroborated that adsorption followed second orderkinetic model. Langmuir model evidenced the maximum adsorption capacity as 68.8 mg g 1 at 303 K. Thermodynamic parameters surmised that adsorption of safranin on MCM-41 is spontaneous,exothermic and feasible.

Physical and Dielectric Properties of Aluminoborosilicate-Based Dielectrics Containing Different Divalent Oxides

신동욱,Viswanathan S. Saji,Ravindra K. Gupta,조용수 한국세라믹학회 2007 한국세라믹학회지 Vol.44 No.11

The variations of physical and dielectric properties of low temperature dielectrics based on typical aluminoborosilicate glasses modified with several divalent oxides were investigated. The divalent oxides studied here included CaO, MgO, BaO, SrO and ZnO. All samples containing either 35 wt% or 45 wt% alumina filler were prepared at the same processing condition and then fired at 850oC for 30 min. The resultant characteristics of fired samples depended on the choice of the divalent ion and the content of the alumina filler. Except for the ZnO modification, all other samples containing 35 wt% filler demonstrated promising densification as they exhibited reasonably high densities of 3.07-3.31 g/cm3 and high shrinkages of 14.0-16.4%. Particularly, the sample containing ZnO was distinguished with large variations compared to the base sample, which can be highlighted with earlier densification and crystallization at unexpectedly low temperatures. The negative effects of the ZnO modification on densification and dielectric properties were thought to be associated with earlier crystallization potentially by influencing effective densification via viscous flow. As an optimum composition, the sample containing only CaO showed the most promising characteristics such as k~8.05 and tanδ~0.0018 when 35 wt% alumina filler was used.

Reduction of noxious Cr(VI) ion to Cr(III) ion in aqueous solutions using H2O2 and UV/H2O2 systems

M.H. Dehghani,B. Heibati,A. Asadi,I. Tyagi,S. Agarwal,V.K. Gupta 한국공업화학회 2016 Journal of Industrial and Engineering Chemistry Vol.33 No.-

Conversion of the toxic Cr(VI) to the less toxic Cr(III) in aqueous solutions by chemical andphotochemical reduction was carried out using H2O2 and UV radiation. The whole mechanism was wellelucidated and investigated using potassium dichromate (K2Cr2O7) as a standard model compound. Theeffects of potential factors affecting the reduction efficiency were well studied and optimized, theoptimized parameters such as concentration of H2O2 (from 0.5 to 1.5 M), pH (from 5 to 9), irradiationtime (0 to 140 min) and reaction time (0 to 120 min). Initial concentration of Cr(VI) in the solution wasvaried from 0.1 to 15 mg/L plays a significant role in the mechanism involves for the reduction of noxiousCr(VI) to less toxic Cr(III).