Vinayak Ranjan
Degrees and Credentials
Ph.D. Mechanical Engineering, Indian Institute of Technology (BHU), Varanasi.
Short Bio
Dr. Vinayak Ranjan joined the University of Pittsburgh at Bradford as Assistant Professor (Tenure-Track) in the Division of Physical and Computational Sciences in August 2026. He previously served as a Visiting Professor in the Department of Mechanical Engineering at Rowan University, Glassboro, NJ (2021–2024) and at the University of Pittsburgh at Bradford (2024–2026). Earlier in his career, he held faculty and leadership roles at Indian Institute of Technology (ISM) Dhanbad, India, and at Bennett University, India, where he served as Founding Head of the Department of Mechanical Engineering.
Dr. Ranjan holds a PhD in Mechanical Engineering from the Indian Institute of Technology (BHU), Varanasi. He has authored more than 60 peer-reviewed journal articles and edited a Wiley volume on mechanical engineering in biomedical applications. He serves as a Reviewing Editor with Springer Nature and on the editorial boards of several international journals, and has reviewed for leading publishers including Elsevier, Springer, Wiley, and MDPI.
Research, Accomplishments, and Publications
Research Interests
Dr. Ranjan's research spans computational mechanics, structural dynamics, materials tribology and characterization, and applied vibro-acoustics, with recent extensions into physics-informed machine learning, combustion systems, and engineering education. His original scientific contributions fall into three principal domains:
A. Advanced Dynamic Stiffness Method (DSM)
Development and extension of the dynamic stiffness method for free vibration analysis of functionally graded material (FGM) plates — a methodological framework independently adopted by research groups worldwide as a benchmark validation standard.
B. Vibro-Acoustic Structural Dynamics and Physics-Informed Machine Learning
Original contributions to the vibro-acoustic behavior of plate structures, including sound radiation modeling for functionally graded and isotropic plates. This work now extends into physics-informed spectral surrogate modeling — integrating the dynamic stiffness method and Wittrick–Williams algorithm with Hankel–SVD feature extraction and neural network regression to predict natural frequencies of functionally graded plates efficiently, bridging computational mechanics with machine learning.
C. Contact Mechanics, Tribology, Rotating Machinery, and Critical Safety Systems
Research on wheel-rail contact mechanics, friction and wear behavior of coated and textured surfaces, and structural dynamics of rotating machinery, including burst margin and critical-speed analysis of aero-engine gas turbine discs. This domain also includes explosion dynamics and pressure development in flameproof electrical apparatus, examining the influence of internal components and enclosure apertures on explosion safety.
Emerging Research Directions
A. Physics-informed neural spectral learning for financial systems — extending low-rank Hankel-SVD spectral methods, originally developed for structural dynamics, to regime-shift detection and predictive modeling in financial.
B. Combustion and dual-fuel engine systems — influence of piston bowl geometry and hydrogen–diesel mixing ratios on combustion performance and emissions
C. Engineering education — concept mapping, experimental design evaluation, pedagogy, and technology-enabled instruction in engineering curricula.
Technical Expertise
Dr. Ranjan's technical expertise centers on structural dynamics and vibro-acoustic analysis, approached through analytical, numerical, and experimental methods, complemented by materials characterization:
A. Analytical Tool Development
Dr. Ranjan has particular expertise in analytical tool development, most notably the dynamic stiffness method (DSM) for free vibration response of plate and shell structures — an exact, closed-form analytical framework (as distinct from approximate numerical methods) that he has extended to functionally graded, sigmoid, orthotropic, and moderately thick plates, coupled with the Wittrick–Williams algorithm for efficient eigenvalue extraction. This analytical foundation is widely used by independent researchers as a benchmark against which numerical and experimental results are validated.
B. Finite Element Analysis and Simulation
He has extensive expertise in finite element analysis (FEA) and simulation, using ANSYS, Abaqus, and Altair HyperMesh to model structural, thermal, and vibration behavior — including gas turbine disc stress and burst-margin analysis, rail-wheel contact and rolling fatigue, and plate vibration cross-validation against DSM results. He has also led the development of major computational engineering laboratories, including a 100-workstation CAD lab at IIT (ISM) Dhanbad and CAE/CFD/solid-modeling labs at Bennett University. This FEA expertise underpins a sustained record of industry consulting in dynamics, fatigue, and vibro-acoustics, including:
- AAF International, UK — Fatigue analysis of filter clip retainer and holder components (PI, 2018–19); structural analysis of gas turbine power plant inlet and exhaust filter house structures (Co-PI, 2019–20)
- Sandvik Engineering Design Center, India — Stress analysis of drill rig feed beams under varying loading conditions and optimization of rotary head gear box ( 2013–15)
- Caterpillar Engineering Design Centre, India — Injector valve stress and sealing analysis, slave piston fatigue design, crawler crane frame static analysis, and brake slave pin contact/fatigue analysis
C. Experimental Vibration Testing
Dr. Ranjan also has experimental expertise in structural vibration testing, having established and equipped the Structural Dynamics, Noise and Vibration Lab at Bennett University with shakers, laser vibrometers, National Instruments (NI)–based data acquisition systems, sensors, and accelerometers for experimental modal and vibration analysis.
D. Tribological and Materials Characterization
He also has research and consulting expertise in the tribological and mechanical characterization of engineered coatings, including atmospheric plasma-sprayed composite coatings (NiMoAl-Ag-WS₂, NiMoAl-Ag-hBN) and magnetron-sputtered nanostructured coatings (TiAlC), evaluating friction and wear performance under high-temperature and dry-sliding conditions, as well as laser-textured bearing steel surfaces. Friction and wear analysis in this work is supported by X-ray diffraction (XRD) and scanning electron microscopy (SEM) for phase identification and wear-surface characterization. This draws on broader mechanical testing expertise, including static strength (tensile/compression via Instron UTM), fatigue testing, torsion testing, impact and hardness testing, high-strain-rate characterization, and metallurgical microscopy.
Undergraduate Research Supervision
Dr. Ranjan actively mentors undergraduate research at University of Pittsburgh at Bradford, with student work presented at the Penn-York Undergraduate Research Association Conference (November 2025) and Pitt Bradford's Annual Research and Scholarship Day (April 2026), spanning computational mechanics, applied differential equations, and materials engineering — including studies on large-scale eigenvalue problems, financial regime-shift detection, 3D-printed lattice structures, and real-world applications of calculus to traffic flow, energy systems, and structural loading.
Recent Publications
- M. Chauhan, V. Ranjan, B.N. Singh, R.N. Hota, "Free Vibration Analysis of Functionally Graded Plates with Variable Boundary Conditions Considering Physical Neutral Surface," Sādhanā (Springer), 51:159 (2026)
- R. Kumar, S. Nath, Atul, V. Ranjan, S. Khan, S.K. Ghoshal, "Influence of Piston Bowl Geometry and Hydrogen–Diesel Mixing Ratios on Dual-Fuel Engine Combustion," ACS Omega, Dec. 2025.
- B.N. Singh, V. Ranjan, R.N. Hota, "Optimization of Vibration and Noise Reduction in Sigmoid Functionally Graded Plates Using Mode Localization," Wave Motion, Vol. 138, Sept. 2025.
- M.I. Ali, M.S. Azam, V. Ranjan, J.R. Banerjee, "Free Vibration of Moderately Thick FGM Plates Using the Dynamic Stiffness Method and the Wittrick–Williams Algorithm," Computers and Structures, Vol. 317, Oct. 2025.
- R. Burdzik, I. Celiński, M. Ragulskis, V. Ranjan, J. Matijošius, "Estimation of Vehicle Traffic Parameters Using an Optical Distance Sensor for Use in Smart City Road Infrastructure," Journal of Sensor and Actuator Networks, 13(4), 2024.
- U. Orinaite, R. Burdzik, V. Ranjan, M. Ragulskis, "Prediction of Approaching Trains Based on H-Ranks of Track Vibration Signals," Computer-Aided Civil and Infrastructure Engineering, Oct. 2024.
- B.N. Singh, V. Ranjan, R.N. Hota, "Vibroacoustic Response of Thin Power Law Indexed Functionally Graded Plates," Steel and Composite Structures, Vol. 50, No. 3, Feb. 2024.
Selected Awards & Recognition
- Provost Academy Faculty Leaders of Excellence, University of Pittsburgh at Bradford, 2025
- Elevated to Reviewing Editor, Springer Nature Reviewer Communities, 2025
- Visiting Professor, Rowan University, NJ, 2021–2024
- Visiting Researcher, Department of Mechanical Engineering and Aeronautics, City University London, UK, June–July 2015, under the Erasmus Mundus AREAS+ program — "Application of Dynamic Stiffness Method on Free Vibration Analysis of Levy Plate"
- Visiting Professor, Department of Mechanical Engineering, Acoustics Transducers Lab, University of South Florida, USA, June–July 2012 — "Design of PZT Membrane for Vibration Energy Harvesting"
- Visiting Professor, Tsinghua University, Beijing, China, 2017
- Distinguished Leader in Engineering, Venus International Foundation, 2018
Courses Taught
Technical Calculus · Technical Differential Equations · Heat Transfer · Introduction to Engineering Analysis · Materials Science and Engineering · Senior Design Proposal · Mechanical Vibrations · Machine Design · Engineering Mechanics (Statics and Dynamics) Strength of Materials · Finite Element Method · Structural Acoustics · Creative Design · Quality & Reliability in Design and Manufacture