On Existence of Solution for Impulsive Perturbed Quantum Stochastic Differential Equations and the Associated Kurzweil Equations

Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs) associated with the Kurzweil equations are introduced and studied. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus and the associated Kurzweil equations. Here again, the solutions of a QSDE are functions of bounded variation, that is they have the same properties as the Kurzweil equations associated with QSDEs introduced in [1, 4]. This generalizes similar results for classical initial value problems to the noncommutative quantum setting

Dynamic Behaviour of a Double Rayleigh Beam-System Due to Uniform Partially Distributed Moving Load

This paper deals with the dynamic behavior of a double-beam system traversed by a uniform partially distributed moving load. The system is composed of two identical parallel homogeneous simply-supported uniform Rayleigh beams of equal lengths which are continuously connected by a viscoelastic core. The forced vibration problem is solved by the application of the finite Fourier and Laplace integral transformations. Using a numerical example, various plots of the deflections of the beams are presented and discussed for different values of the speed, rotatory inertia and fixed length of the load

ANALYSIS OF TORSIONAL RIGIDITY OF CIRCULAR BEAMS WITH DIFFERENT ENGINEERING MATERIALS SUBJECTED TO ST. VENANT TORSION

Many engineering structures, such as airplane wings, beams and shafts are subjected to higher torsional forces today due to advancement in Structural Engineering, in terms of size and technology. In this paper, we analyzed the resistance of circular beams, of different engineering materials, to their corresponding twisting moments. We obtained the torsional rigidity for the different beams as the ratio of twisting moment to the angle of twist per unit length. It is observed that torsional rigidity of the beams is a function of their areas and the engineering material they are made up of. Specifically it is observed that the circular beam made up of brass engineering material has the greatest torsional rigidity among the twelve engineering materials considered

Buoyancy and thermal radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

This study is devoted to investigate the Buoyancy and thermal radiation effects on the laminar boundary layer about a flat-plate in a uniform stream of fluid (Blasius flow), and about a moving plate in a quiescent ambient fluid (Sakiadis flow) both under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by using shooting technique along side with the sixth order of Runge-Kutta integration scheme and the variations of dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number Pr, radiation parameter NR, parameter a and the local Grashof number Grx, which characterizes our convection processes are graphed and tabulated. Quite different and interesting behaviours were encountered for Blasius flow compared with a Sakiadis flow. A comparison with previously published results on special cases of the problem shows excellent agreement

Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

This study is devoted to investigate the radiation and viscous dissipation effects on the laminar boundary layer about a flat-plate in a uniform stream of fluid (Blasius flow), and about a moving plate in a quiescent ambient fluid (Sakiadis flow) both under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by using shooting technique along side with the sixth order of Runge-Kutta integration scheme and the variations of dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number Pr, radiation parameter NR, parameter a and the Eckert number Ec, which characterizes our convection processes are graphed and tabulated. Quite different and interesting behaviours were encountered for Blasius flow compared with a Sakiadis flow. A comparison with previously published results on special cases of the problem shows excellent agreement

Effects of Some Structural Parameters on the Vibration of a Simply Supported Non-prismatic Double-beam System

The aim of this work is to examine the influence of some structural parameters, namely, the mass per unit length and flexural rigidity of the upper beam on the natural frequencies of a symmetric non-prismatic double-beam system elastically connected by a Pasternak-type layer. A semianalytical technique known as differential transform method was used to carry out the analysis of the vibration problem in this paper. The results of the analysis revealed that there is tendency to lower the vibration frequency of the double-beam system by increasing the mass of the upper beam. It was also found that the natural frequencies of the double-system generally increase with an increase in the flexural rigidity of the upper beam of the double-beam system. It can be concluded that both the mass per unit length and the flexural rigidity of the upper beam generally have influence on the natural frequencies of a non-prismatic double-beam system elastically coupled by a Pasternak-type elastic mediu

Development of a diagnostic schedule for a defective LC-195V5 CNC Milling machine using PERT

Computer Numerical Control CNC machine tools usage are more and more extensive, its fault diagnosis research is becoming more essential. Failure forms accorded these machines are diversified, and fault reasons are very complicated. It should not be left unattended to, because this could lead to further deterioration. One of the parameters used in determining the efficiency of a technician (who repairs machine tools) is the time saved in locating faults, hence the development of a diagnostic schedule which shows the sequential means of troubleshooting within a possible shortest time. In this research two approaches were used to diagnose a defective LC-195V5 CNC milling machine. Forward Pass (FP), which involves the diagnosis from electrical parts through Computer (CNC) to mechanical component and Backward Pass (BP) which involves the diagnosis from computer component through electrical parts to mechanical parts. Three different trials were conducted for each of the mode of diagnosis and the time to diagnose each component part was recorded. Based on the interrelationship of the component parts, two separate PERT (Project Evaluation & Review Techniques) network diagrams were drawn and their Critical Paths were determined. The study reveals that Foward Pass method was able to save more time

Dynamic Response of Two Viscoelastically Connected Rayleigh Beams Subjected to Concentrated Moving Load

A theory concerning the dynamic response of two identical simply supported Rayleigh beams viscoelastically connected together by a flexible core and traversed by a concentrated moving load is developed in this paper. The solution technique employed is based on finite Fourier and Laplace integral transformations. It is observed that the maximum amplitude of the deflection of the upper beam increases with an increase in the value of the rotatory inertia while the maximum amplitude of deflection of the lower beam decreases with increasing values of rotatory inerti

Minimizing Carbon Emissions from Transportation Projects in Sub-Saharan Africa Cities Using Mathematical Model: A Focus on Lagos, Nigeria

One of the major causes of increase in greenhouse gas pollution has been attributed to transportation. In spite of sub-Saharan African's low contribution to the worldwide production of greenhouse gases, the region will suffer more from the effects of climate change in years to come if necessary steps are not taken now. This paper therefore looks at minimizing the carbon emissions (carbon dioxide emission) from transportation which is a channel of greenhouse pollution. Linear programming model is used to model the present situation in Lagos Nigeria. A computer software (LIPS) and excel solver were used to solve the resulting mathematical equations, using simplex method. The data collected and the subsequent analysis carried out show that if the current situation of carbon emission from transportation, is not arrested, it can lead to serious health challenge, such as respiratory diseases, and negative impact on the economic development of these cities