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Mohanty S.C.,National Institute of Technology Rourkela | Rout T.,Parala Maharaja Engineering College
International Journal of Structural Stability and Dynamics | Year: 2015

In the present work, the vibration and dynamic stability of functionally graded ordinary (FGO) pre-twisted cantilever Timoshenko beam has been investigated. Finite element shape functions are established from differential equations of static equilibrium. Expressions for element stiffness and mass matrices are obtained from energy considerations. Floquet's theory is used to establish the stability boundary. The material properties along the thickness of the beam are assumed to vary according to the power law. The effects of power law index and pre-twist angle on the natural frequencies and dynamic stability of the beam have been investigated. Increase in pre-twist angle enhances the stability of the beam for first mode whereas it makes the beam more prone to parametric instability for the second mode. The increase in power law index is found to have a detrimental effect on the stability of the beam. The chance of parametric instability is enhanced with the increase in static load factor. © 2015 World Scientific Publishing Company.


Prakash S.,Parala Maharaja Engineering College
Lecture Notes in Electrical Engineering | Year: 2013

This study applies a five-linked robotic manipulator to track prespecified trajectories in the workspace. It is authors' intent to see how adequate the method of direct collocation and nonlinear programming (DCNLP) can be in enhancing the capability of robotic manipulator. Creative dig-ins may excavate useful robotic applications not only in welding industry but also in medical-home health caring applications. In this study, the dynamics of the manipulator is constructed by Lagrange-Euler (L-E) formulation and the geometry of the manipulator is defined according to the Denavit-Hartenberg convention. Once the EOM are available, the optimal control theory takes over and the necessary conditions (NCs) confine the manipulator system to the optimality condition of least-energy maneuvering. However, NCs inevitably evoke the two-point boundary-valued problem (TPBVP). The method of DCNLP will convert a TPBVP into a nonlinear programming problem. It assures the certainty of obtaining optimal solutions for TPBVP. © 2013 Springer Science+Business Media New York.


Mohanty S.C.,National Institute of Technology Rourkela | Rout T.,Parala Maharaja Engineering College
Advances in Structural Engineering | Year: 2013

Free vibration analysis of functionally graded ordinary (FGO) and functionally graded sandwich (FGSW) rotating cantilever beam is carried out using finite element method. The properties along the thickness of FGO beam and along the thickness of the core of FGSW beam are assumed to follow power law as well as exponential law. The increase in the parameters for rotary inertia, hub radius and rotational speed, increase the first two mode frequencies of both the beams no matter how the properties vary along the thickness of beams. The effect of property distribution laws on the frequencies is found to be predominant for lower values of rotary inertia parameter and for higher values of rotational speed parameter and hub radius parameter. The first two mode frequencies of FGSW beam increase with increase in the thickness of functionally graded material (FGM) core.


Giri D.,Parala Maharaja Engineering College
Geomechanics and Geoengineering | Year: 2014

The designing of retaining walls requires the complete knowledge of earth pressure distribution. Under earthquake conditions the design needs special attention to reduce the devastating effect, but under seismic conditions, the available literature mostly uses the pseudo-static analytical solution as an approximate to the real dynamic nature of the complex problem. This paper shows a detailed study on the seismic passive earth thrust behind a cantilever retaining wall with inclined backfill surface by pseudo-dynamic analysis. A planar failure surface has been considered. The effect of variation of parameters such as soil friction angle, wall friction angle and back fill inclination have been explored. A complete analysis shows that the time dependent non-linear behaviour of the pressure distribution obtained in the present method results in more realistic design values of earth pressures under earthquake conditions. Results are provided in tabular and graphical non-dimensional form and compared thoroughly with the existing values in the literature. © 2014 Taylor & Francis.


Das C.,Berhampur University | Panda P.,Berhampur University | Mishra S.,Parala Maharaja Engineering College | Mishra A.,Prananath Autonomous College
International Journal of Modern Physics D | Year: 2013

A nonrelativistic equation of state (EOS) of supernova matter is calculated within a fully self-consistent model at finite temperature with a realistic interaction for lepton fractions yl = 0.3 and 0.4. Isothermal EOS is converted to isentropic EOS. Rise in temperature with densities are studied at adiabates S = 1.0 and 1.5. A comparison of isothermal and isentropic generation of pressure is made. Variation of pressure with temperature at different adiabates is discussed. © 2013 World Scientific Publishing Company.


Biswal P.C.,Parala Maharaja Engineering College
Advanced Science Letters | Year: 2016

An exclusive expression τ(Wn) = 3τ(Fn)− 2τ(Fn −1) − 2 for determining number of spanning trees of wheel graph Wn and a recurrence relation τ(Wn) =3τ(Wn −1)−τ(Wn −2)+2 are derived by expressing τ(Wn) into disjoint sets and expressing cardinality of each set in terms of τ(Fn). © 2016 American Scientific Publishers. All rights reserved.

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