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  1. 6 International Journal of Applied Mechanics and Engineering
  2. 4 Acta Physiologiae Plantarum
  3. 4 Electrical Power Quality and Utilisation. Journal
  4. 3 Commentationes Mathematicae
  5. 3 Mechanics and Mechanical Engineering
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  1. 2 2023
  2. 1 2022
  3. 2 2021
  4. 1 2019
  5. 4 2018
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  1. 46 Singh B.
  2. 4 Singh J.
  3. 3 Chandra D.
  4. 3 Dey A.
  5. 3 Dwivedi B.
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1
Content available remote Reflection of Plane Waves from Surface of a Generalized Thermo-viscoelastic Porous Solid Half-space with Impedance Boundary Conditions
100%
Singh B.
Computational Methods in Science and Technology
|
2018
|
tom Vol. 24, No. 4
273--283
EN
A phenomenon of reflection of plane waves from a thermally insulated surface of a solid half-space is studied in the context of Lord-Shulman theory of generalized thermo-viscoelasticity with voids. The governing equations of generalized thermo-viscoelastic medium with voids are specialized in x-z plane. The plane wave solution of these equations shows the existence of three coupled longitudinal waves and a shear vertical wave in a generalized thermo-viscoelastic medium with voids. For incident plane wave (longitudinal or shear), three coupled longitudinal waves and a shear vertical wave reflect back in the medium. The mechanical boundary conditions on the free surface of solid half-space are considered as impedance boundary conditions, in which the shear force tractions are assumed to vary linearly with the tangential displacement components multiplied by the frequency. The impedance corresponds to the constant of proportionality. The appropriate potentials of incident and reflected waves in the half-space will satisfy the required impedance boundary conditions. A non-homogeneous system of four equations in the amplitude ratios of reflected waves is obtained. These amplitude ratios are functions of material parameters, impedance parameter, angle of incidence, thermal relaxation and speeds of plane waves. Using relevant material parameters for medium, the amplitude ratios are computed numerically and plotted against certain ranges of the impedance parameter and the angle of incidence.
2
Content available remote Propagation of thermoelastic waves at liquid-solid interface in the presence of circular cracks
100%
Singh B.
International Journal of Applied Mechanics and Engineering
|
2007
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tom Vol. 12, no 3
799-811
EN
Liquid-solid interface is considered for studying the reflection-refraction phenomenon where a liquid medium is assumed thermally conducting and a solid medium is assumed thermally conducting with circular cracks. The boundary conditions are satisfied to obtain reflection and refraction coefficients. A numerical example is considered to show the effects of circular cracks on the reflection-refraction process.
3
Content available remote Reflection of plane waves from surface of a generalized thermo-viscoelastic porous solid half-space with impedance boundary conditions
100%
Singh B.
Mechanics and Mechanical Engineering
|
2018
|
tom Vol. 22, nr 4
1483--1496
EN
A phenomenon of reflction of plane waves from a thermally insulated surface of a solid half-space is studied in context of Lord-Shulman theory of generalized thermo-viscoelasticity with voids. The governing equations of generalized thermo-viscoelastic medium with voids are specialized in x-z plane. The plane wave solution of these equations shows the existence of three coupled longitudinal waves and a shear vertical wave in a generalized thermo-viscoelastic medium with voids. For incident plane wave (longitudinal or shear), three coupled longitudinal waves and a shear vertical wave reflect back in the medium. The mechanical boundary conditions at free surface of solid half-space are considered as impedance boundary conditions, in which the shear force tractions are assumed to vary linearly with the tangential displacement components multiplied by the frequency. The impedance corresponds to the constant of proportionality. The appropriate potentials of incident and reflected waves in the half-space will satisfy the required impedance boundary conditions. A non-homogeneous system of four equations in the amplitude ratios of reflected waves is obtained. These amplitude ratios are functions of material parameters, impedance parameter, angle of incidence, thermal relaxation and speeds of plane waves. Using relevant material parameters for medium, the amplitude ratios are computed numerically and plotted against certain ranges of impedance parameter and the angle of incidence.
4
Content available remote On plane waves in an isotropic linear thermoelastic solid with initial stresses
100%
Singh B.
International Journal of Applied Mechanics and Engineering
|
2006
|
tom Vol. 11, no 4
957-963
EN
The plane wave propagation in a homogenous isotropic, thermally conducting elastic solid under normal initial stresses is studied with two thermal relaxation times. Three types of plane waves, quasi-P, thermal and quasi-SV waves, are shown to exist. The dependence of the velocities of these plane waves on the direction of propagation is shown graphically for different combinations of normal initial stresses.
5
Content available remote Plane wave propagation in a generalized thermoelastic solid in the presence of cracks
100%
Singh B.
International Journal of Applied Mechanics and Engineering
|
2008
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tom Vol. 13, no 1
239-250
EN
Reflection of pIane waves from a free surface of a generalized thermoelastic solid half-space in the presence of cracks is studied. Analytical expressions for reflection coefficients are derived for incident P and SV waves. These coefficients are computed numerically for different regimes of crack connections and shown graphically with the angle of incidence of striking wave.
6
Dispersion relations in a generalized monoclinic thermoelastic solid half-space
100%
Singh B.
Journal of Technical Physics
|
2006
|
tom Vol. 47, no 3
119-129
EN
The plane wave propagation in a homogeneous, monoclinic, generalized thermoelastic solid medium with thermal relaxations is studied. Three types of plane waves: quasi-P (qP), quasi-thermal and quasi-SV (qSV) waves, are shown to exist. The analytical expressions for their dimensional velocities of propagation are obtained. The velocities of these waves are found to depend on the angle of propagation. Angles of reflection for plane waves are found to be different from their angles of incidence. Numerical computations are carried out to show the variations of velocities of plane waves for different parameters. Effects of anisotropy, frequency and thermoelastic coupling coefficient on wave propagation are observed.
7
Content available On propagation of Rayleigh type surface wave in five different theories of thermoelasticity
63%
Singh B. , Verma S.
International Journal of Applied Mechanics and Engineering
|
2019
|
tom Vol. 24, no. 3
661--673
EN
The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a halfspace are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.
8
Content available remote Common fixed points for expansion mappings in generalized metric spaces
63%
Singh B. , Sharma R. K.
Demonstratio Mathematica
|
2003
|
tom Vol. 36, nr 1
215--220
EN
The purpose of this paper is to obtain some common fixed point theorems for expansion mappings in recently developed space. D-metric space. Our results generalize several corresponding results in metric spaces.
9
Lectin mediated agglutiation of Cabdida kefyr cells and their spheroplasts grown in sterol enriched growth medium and its correlation with lipid composition
63%
Sharma S. C. , Singh B.
Acta Microbiologica Polonica
|
1988
|
tom 37
|
nr 2
10
Content available remote Influences of magnetic field on wave propagation in generalized thermoelastic solid with diffusion
63%
Abo-Dahab S. M. , Singh B.
Archives of Mechanics
|
2009
|
tom Vol. 61, nr 2
121-136
EN
This paper is devoted to estimation of the influence of magnetic field in an elastic solid half-space under thermoelastic diffusion. The governing equations in xz-plane are solved taking into consideration the GL model. The reflection of dilatational (P) wave and shear vertical (SV) wave splits into four waves, namely: P wave, thermal wave, mass diffusion wave and SV wave. The reflection phenomena of P and SV waves from the free surface of an elastic solid with thermoelastic diffusion, under the influence of magnetic field is considered. The expressions for the reflection coefficients for the four reflected waves are obtained. These reflection coefficients are found to depend upon the angle of incidence 0 of P and SV waves, thermoelastic diffusion, magnetic field and other material parameters. The numerical values for the reflection coefficients are calculated analytically and presented graphically for various values of these parameters. Relevant results of previous investigations are deduced as special cases from this study.
11
Content available remote Common fixed point theorems for three expansive self-maps in D-metric spaces
63%
Singh B. , Jain S.
Demonstratio Mathematica
|
2005
|
tom Vol. 38, nr 3
703--713
EN
B. Singh and R. K. Sharma [Demonstratio Math. Vol. 36, No.l (2003), 215-220] have proved two common fixed point theorems for two self-maps satisfying an expansive condition in D- metric spaces. This note offers generalization for these theorems for three self-maps using weak- compatibility and reduces the domain of z to an orbit only. The last theorem proves that the continuity of none of two or three maps is required in the setting of D- metric space.
12
Content available Propagation of plane waves in a rotating transversely isotropic two temperature generalized thermoelastic solid half-space with voids
63%
Bijarnia R. , Singh B.
International Journal of Applied Mechanics and Engineering
|
2016
|
tom Vol. 21, no. 2
285--301
EN
The paper is concerned with the propagation of plane waves in a transversely isotropic two temperature generalized thermoelastic solid half-space with voids and rotation. The governing equations are modified in the context of Lord and Shulman theory of generalized thermoelasticity and solved to show the existence of four plane waves in the x – z plane. Reflection of these plane waves from thermally insulated stress free surface is also studied to obtain a system of four non-homogeneous equations. For numerical computations of speed and reflection coefficients, a particular material is modelled as transversely isotropic generalized thermoelastic solid half-space. The speeds of plane waves are computed against the angle of propagation to observe the effects of two temperature and rotation. Reflection coefficients of various reflected waves are also computed against the angle of incidence to observe the effects of various parameters.
13
Content available remote Propagation of SH-wave through an elastic slab sandwiched between two half-spaces
63%
Tomar S. K. , Singh B.
International Journal of Applied Mechanics and Engineering
|
2005
|
tom Vol. 10, no 2
345-358
EN
Two boundary value problems are investigated in this paper: first, a plane SH-wave incident upon a slab of monoclinic crystal which is interposed between two uniform elastic solid half-spaces; second, a plane SH-wave incident upon a linear homogeneous isotropic elastic slab interposed between two monoclinic elastic half-spaces. The expressions of reflection and transmission coefficients are derived in a closed form and several particular cases are discussed. Elastic constants for rock gypsum (CaSO4.2H2O) are used in numerical computations to describe the effect of monoclinic properties on reflection and transmission coefficients. It is found that there is a significant effect of the interposed layer on reflection and transmission coefficients.
14
Lipid composition and lectin-mediated agglutination of Candida kefyr cells grown in media enriched with choline or its analogues
63%
Sharma S. C. , Singh B.
Acta Biochimica Polonica
|
1989
|
tom 36
|
nr 3-4
15
Neuroendocrine correlates of testosterone-induced changes in brain evoked responses to afferent input
51%
Mangat H. K. , Chhina G. S. , Singh B. , Anand B. K.
Acta Neurobiologiae Experimentalis
|
1979
|
tom 39
|
nr 5
16
Content available remote Cone 2-metric space and Fixed point theorem of contractive mappings
51%
Singh B. , Jain S. , Bhagat P.
Commentationes Mathematicae
|
2012
|
tom Vol. 52, [Z] 2
143--151
EN
In this paper we introduce cone 2-metric space and prove some fixed point theorems of a contractive mapping on a cone 2-metric spaces.
17
Content available remote On common fixed point theorems for semi-compatible mappings in Menger space
51%
Singh B. , Jain A. , Lodha B.
Commentationes Mathematicae
|
2010
|
tom Vol. 50, [Z] 2
127-139
EN
In this paper, the concept of semi-compatibility and weak compatibility in Menger space has been applied to prove a common fixed point theorem for six self maps. Our result generalizes and extends the result of Pathak and Verma [6].
18
Content available remote Propagation of Rayleigh wave in two-temperature dual-phase-lag thermoelasticity
51%
Singh B. , Kumari S. , Singh J.
Mechanics and Mechanical Engineering
|
2017
|
tom Vol. 21, nr 1
105--116
EN
The governing equations of transversely isotropic dual-phase-lag two-temperature thermoelasticity are solved for the surface wave solutions. The particular solutions in the half-space satisfy the boundary conditions at a thermally insulated /isothermal stress-free surface of a half-space to obtain the frequency equation of the Rayleigh wave for the cases of coupled thermoelasticity, Lord and Shulman thermoelasticity and dual-phase-lag thermoelasticity. Some particular and special cases are obtained. The numerical values of the non-dimensional speed of the Rayleigh wave are computed and shown graphically against frequency, non-dimensional elastic constant and two-temperature parameter. The effects of frequency, two-temperature and dual-phase-lag are observed on the nondimensional speed of Rayleigh wave.
19
Content available remote Fixed point theorems for Kannan type mappings in 2-menger spaces
51%
Gupta V. , Singh B. , Kumar S.
Fasciculi Mathematici
|
2015
|
tom Nr 54
97--115
EN
In this paper we show that the results of Choudhary and Das [2] hold under more general situation.
20
Content available Vector Controlled Induction Motor Drive Using Genetic Algorithm Tuned PI Speed Controller
51%
Dey A. , Singh B. , Dwivedi B. , Chandra D.
Electrical Power Quality and Utilisation. Journal
|
2009
|
tom Vol. 15, iss. 1
3--8
EN
In (his paper, timing and optimization of the proportional and integral (PI) gains of speed controller is achieved using Genetic Algorithm (GA) for improving the performance of the induction motor drive because higher the quality of the controller lesser is the ripples produced in the torque and speed responses. The developed GA program has multi-objective minimization functions. The optimized values of PI gains are incorporated in vector controlled induction motor model for performance analysis during sudden disturbances like speed reversal, load application and load removal. GA tuning method outstandingly surpasses the conventional and most widely used Ztegler Nichols Tuning method. GA tuned PI controller reduces the peak overshoot almost by 60% and quickly brings the system to steady state value. The simulated results obtained from GA tuned PI controller can be realized and validated through experimental results in future work.
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