I am a senior research fellow in the Department of Mathematics at the National Institute of Technology Rourkela, India, specializing in Applied Mathematics, Structural Dynamics, and Computational Mechanics. My research focuses on the modeling and analysis of differential equations related to dynamical systems, using advanced analytical and numerical techniques. My work aims to enhance the design and performance of smart materials in nano-engineering applications. I have authored more than 10 peer-reviewed publications in reputed journals and edited volumes, contributing to the fields of vibration analysis, mathematical modeling, and structural dynamics.
Rourkela, Odisha, India
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Summary
Led advanced research initiatives in structural dynamics, computational mechanics, functionally graded and nanoscale structures, contributing to significant academic publications.
Highlights
Pioneered advanced research in multi-directional functionally graded materials and nanoscale structures, applying sophisticated computational modeling and numerical analysis techniques.
Authored and co-authored more than 10 peer-reviewed publications in leading international journals, including International Journal of Structural Stability and Dynamics, Acta Mechanica, and International Journal of Mechanics and Materials in Design, advancing knowledge in vibration analysis and structural mechanics.
Presented and optimized numerical methods, such as the Rayleigh-Ritz method and Galerkin method, for efficient free vibration analysis of complex nanobeam structures.
Contributed as a Guest Editor for RIMNI - An International Journal of Numerical Methods for Calculation and Design in Engineering, and as a peer reviewer for multiple prestigious academic journals, ensuring scientific rigor and quality in published research.
Courses Assigned (Teaching Assistant): Mathematics - I, Mathematics - II, Numerical Analysis
Published by
Journal of Vibration Engineering & Technologies
Summary
A comprehensive mathematical model is presented to examine the free vibration response of axially functionally graded nanobeams influenced by electromagnetic fields, with consideration of spatially varying size-dependent properties.
Published by
International Journal of Mechanics and Materials in Design
Summary
Investigated vibration analysis of functionally graded tapered beams for resilient bridge systems. Also, formulated the inverse vibration problem to estimate the initial strain.
Published by
Proceedings of the International Conference on Computational Mathematics and Applications
Summary
Analyzed the impact of variable nonlocal parameters on the free vibration characteristics of axially functionally graded nanobeams.
Published by
International Journal of Structural Stability and Dynamics
Summary
Studied the vibrational behavior of nanobeams with elastic foundations, considering axial functional gradation and periodic perforations.
Published by
International Journal of Structural Stability and Dynamics
Summary
Developed an analytical solution for the free vibration of multi-cracked, functionally graded nanobeams supported by elastic foundations.
Published by
Mechanics of Solids
Summary
Analyzed the effects of different shape functions within the Rayleigh-Ritz method to enhance efficiency in free vibration analysis of nanobeams.
Published by
Computer Modeling in Engineering & Sciences
Summary
Provided a comprehensive review of advanced computational modeling and mechanical behavior analysis for multi-directional functionally graded nanostructures.
Published by
IOP Publishing (Advances in Modelling and Analysis of Functionally Graded Micro-and Nanostructures)
Summary
Applied the Chebyshev polynomials-based Rayleigh-Ritz method to analyze the free vibration of axially functionally graded cantilever nanobeams.
Published by
Journal of Vibration Engineering & Technologies
Summary
Investigated the free vibration characteristics of bi-directional functionally graded nanobeams supported by Winkler-Pasternak foundations.
Vibration Analysis, Structural Mechanics, Numerical Analysis, Mathematical Modelling, Differential Equations.
Multi-directional Functionally Graded Materials, Nanobeams, Nanopipes, Nanoplates, Nanoshells, Nanostructures.
Rayleigh-Ritz Method, Galerkin Method, Differential Equations (ODE & PDE), Advanced Numerical Techniques.
Scientific Research, Problem Solving, Data Analysis, Experimental Design.
Research Project Guidance, Peer Review, Guest Editing, Scientific Writing.
Fluent
Native
Native
Professor (HAG), Department of Mathematics, National Institute of Technology Rourkela (Ph.D. Supervisor)
