On Torsion of Rectangular beams with edges
JAGDISH SINGH, Department of Mathematics
Abstract: We solve the problems of torsion of rectangular beams having circular, elliptic,
parabolic and triangular edges under a terminal couple. The shearing stresses,
the lines of shearing stresses and the shapes of distorted cross-sections have
been obtained by Saint-Venant's semi-inverse method. The corresponding results
for viscoelastic beams have also been derived for various models and the shearing
stresses are plotted graphically. The shearing stresses decrease exponentially
w.r.t. time for Maxwell model, standard linear solid and four
parameter solid; the more the number of parameters in the model, the faster
is the decrease.
Keywords: Torsion, Contour lines, Shearing stresses, Laplace transform, Viscoelastic
beams.
On Mapping with Generalized Diminishing
Orbital Diametral Sum
Ravindra Parsai and Ashok Ganguly*
Abstract: Some results on fixed point are presented which generalize the results of
Singh6 and Park4.
Systems Performance of Production System Using
Animated Simulation Model
Razman Mat Tahar and Sabri Ahmad*
Abstract: Computer simulation is the discipline of designing a model of an actual or
theoretical physical system and conducting experiments with this model for the
purpose of understanding the behavior of the system and /or evaluating various
strategies for the operation of the system6. In the simulation study, one would
work with a model of the problem rather than working directly with the problem
itself. Therefore it is critical that the model be designed in such a way that
the model behavior mimics the response behavior of the real system to events
that take place over time3. Simulation has been successfully applied in many
different areas such as manufacturing, service system, healthcare, transportation,
supply chain etc.
Keywords : Simulation, Animation, Modeling, Seaport.
Probability distribution of
carbon monoxide concentration in air
K. Srinivasa Rao J. Lakshminarayana and G. Nagaveni
Abstract: Stochastic models provide the basic framework for the analysis of pollutant
concentration. The carbon monoxide (CO) concentration in air is random in nature
due to their inherent variability in space and time. In this paper, a suitable
probability distribution which is capable of portraying the data collected on
CO concentration in traffic junctions, where the emission is from two sources,
like from vehicles run by petrol and from vehicles run by diesel is derived
and analysed. The various characteristics required for the analysis of CO concentration
are also derived and analysed. The utility of the model is demonstrated through
a real data set.
Key words and phases : Two parameter exponential distribution, pollutant concentration,
order statistics.
Mason output in the construction industry using
activity sampling method
*S. S. OMOMYI **J. FAPOHUNDA ***J. A. ALI
Abstract: At project execution stage as quick and reliable method of measuring Mason
output is desirable. This study however, made a review of different factors
affecting Mason Output and their low output rate in the construction industry.
It also examined how construction mason utilized their time during working hour,
and the proportion of their idle time to the overall-working hour available
to them. These were made possible through the activity sampling method in which
a large number of instantaneous observations were made over a period of time
on a group of Masons at three different sites and location. The analyses of
the data’s collected shown that the total effective/ineffective time differs
from site to site and this has great effect on the Mason Output. Therefore,
at project execution stage, the management should employ the use of activity
sampling method in their management techniques. Lastly, it was noted that effective
and functional communication between the office and the site supervisor is very
essential for proper labour control and coordination.
Key words : - Labour Output - Productivity - Activity Sampling.
Quasi Regularity in Loop Rings
W.B. Vasantha Kandasamy and Satya Veer Singh
Abstract: In this note wa study quasi regular elements in a loop algebra. We obtain
a necessary and sufficient condition for an element to be quasi regular and
bring out the major difference between quasi regular elements in loop algebras
and rings. The set of all quasi regular elements of a loop algebra in general
need
not form a group or even a loop under star composition, unlike in a ring the
set of quasi regular elements forms a group.
Multiple Server Queueing Model With
Heterogeneous Arrivals
Srinivasa Rao, K1. Murty, S.M.A1. and Srinivasa Rao, P2.
Abstract: In this paper we develop and analyse a multiple server queueing model with
heterogeneous arrivals and service rates. Here it is assumed that the arrival
rate of the system is heterogeneous having two types of input source namely,
operative and non- operative states. Whenever the input source is in non- operative
state then it is repaired and put into operative state. It is also assumed that
the time in which the input source is in operative state is exponentially distributed
and the time in which the input remains in the non-operative state is a random
variable with probability density function f(x). Assuming that the arrivals
and services are all Poisson, the system size distribution is obtained through
Laplace transformations. The transient behaviour of the model is analysed by
deriving explicit expressions for the probability that the system is empty,
mean number of customers in the system etc., The limiting behaviour of this
model is also studied. This model also includes several of the earlier models
as particular cases for specific or limiting values of the parameters. The sensitivity
of the model with respect to the parameters is also discussed. This model is
much useful in analysing the situations arising at places like, production processes,
data voice transmission, transportation system, cargo handling etc,.
Key words: Multiple server queueing model, Laplace transformations, System
size, steady state.
The Almost (N,p,q) summability of derived series of
a Fourier series
Shyam Lal and Vijay Kumar Tripathi
Abstract: A new theorem on almost (N, p, q) summability of derived series of Fourier
series has been established under a very general condition.
Cosmological Models with Negative Pressure
R C. Upadhyay and A. K. Mishra
Abstract: According to recent ohservations thal the universe contains exotic matter
with negative pressure homogeneous and isotropic cosmological models with negative
pressure have been constructed. Their validity on the observational ground has
been discussed.
Key Words : Negative pressure, cosmological models.
Computer Aided Geometric Design of Piston
& Valves Using B-Spline
S. C. Bhatnager and Pranjali Arondekar
Abstract: In this paper we give a technique of generation of smooth surfaces by using
two-dimensional Curve. In particular we generate a circle through a given number
of almost regular points using B-Spline and use it to generate a cylinder, a
cone and a sphere.
On The GCD-Reciprocal LCM Matrices
Ayse NALLI and Dursun TASCI
Abstract: In this paper, we give a structure theorem for the GCD-Reciprocal LCM matrix
and then we calculate the determinant, the trace, the inverse of the GCD-Reciprocal LCM matrix. We determine upper bound for determinant of GCDReciprocal
LCM matrix. Furtermore determine lower and upper bounds for the Euclidean norm
of the GCD-Reciprocal LCM matrix.
An analytical approach to study the problem of air Pollutants
removal in a two patch environment
RAM NARESH
Abstract: In this paper, the unsteady state dispersion of a reactive air pollutant emitted
from a time dependent point source, forming secondary species, is studied by
taking into account the effects of removal mechanism in a two patch environment
and assuming the existence of sinks uniformly distributed throughout the second
patch causing the removal of both primary and secondary pollutants. In the atmosphere
these sinks may represent rain droplets, fog droplets or even externally introduced
species (liquid or gas) which are effective in the removal of pollutants by
chemical reactions, etc. The problem is studied by solving coupled three dimensional
unsteady state convective diffusion equations for both the primary and secondary
pollutants with removal terms, deposition at the ground and leakage at the top
of the inversion layer using suitable boundary and matching conditions at the
interface of the two patches and different forms of time dependent flux at the
source. It is shown that the concentrations of both primary and secondary pollutants
can be reduced considerably due to presence of sink phase in the atmosphere
for all forms of flux at the source.
Fuzzy Subhalfgroupoids and its
Fuzzy Extension Chains
W.B. Vasantha and D. Meiyappan
Abstract: In this paper we define and determine basic properties about fuzzy sub-halfgroupoids
and fuzzy extension chains. We characterize these fuzzy extensions in terms
of fuzzy translation, fuzzy multiplication and weak sup property. Structure
theorems are determined.
Molecular Manufacturing with the help of
Nanotechnology and DNA
Anil Rajput1, Suman Malik2, Utkarsh Seetha3 and Tarun Khare4
Abstract: Nanotechnology, DNA, Polymeric Molecule, Genetic, Quantum Mechanics, Nanometer,
Lithography, Micron, Nanoscale, Bioassay robot, Lab-on-Chip, µ-TAS, Chemical
computer.
An exponential Fourier series for - Function
Yashwant Singh
Abstract: The aim of this paper is to establish an exponential Fourier series for -function
Key words : Fourier Series, - function
AMS : Subject classification 33C99
On a theorem of maddox
U. K. Shrivastava, A. K. Soni and C. J. Rathore
Abstract: In the present paper we have established that the THEOREM OF MADDOX1 can not
be improved.