Sondipon Adhikari · Glasgow

Publications by research area

Uncertainty quantification and stochastic mechanics

Random operators, random eigenvalue problems, stochastic finite elements, reliability and rare events.

Published journal papers, numbered 1 to 78 within this area and counting from the oldest. 78 have full text on this site. About this research · Full archive

2026 2025 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2004 2000 1999 1998

Accepted/In press 3 papers · nos. 76–78

  1. Adhikari, S., "Equivalent damping and closed-form response statistics of stochastic oscillators", Probabilistic Engineering Mechanics, (2026).
  2. Adhikari, S., "Aanderson localization as modal phase decoherence in disordered monoatomic phononic chains", New Journal of Physics, (2026).
  3. Pryse, S. E., Kundu, A., and Adhikari, S., "Optimal reduced order modelling of transient stochastic structural dynamic systems using Arnoldi-Lyapunov basis", ASCE Journal of Engineering Mechanics.

2026 2 papers · nos. 74–75

  1. Adhikari, S., "Impulse response of stochastic oscillators: Ensemble damping and phase decoherence", Journal of Sound and Vibration, 643[11] (2026), pp. 119982.
  2. Chowdhury, S. and Adhikari, S., "In-sample versus ensemble optimisation of tuned mass dampers for structures with uncertainties", Probabilistic Engineering Mechanics, 85[7] (2026), pp. 103982.

2025 1 paper · no. 73

  1. Jacquelin, E., Adhikari, S., and Brizard, D., "A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation", Probabilistic Engineering Mechanics, 81[7] (2025), pp. 103792.

2023 1 paper · no. 72

  1. Chatterjee, T., Karlicic, D., Cajic, M., Adhikari, S. and Friswel, M. I., "Uncertainty quantification in inerter-based quasiperiodic lattices", International Journal of Mechanical Sciences, 249[7] (2023), pp. 108258.

2022 3 papers · nos. 69–71

  1. Liu, X., Liu, X., Adhikari, S. and Zhao, X., "An analytical framework for broadband dynamic analysis of plate built-up structures with uncertain viscoelastic boundary or connection conditions", Mechanical Systems and Signal Processing, 177[9] (2022), pp. 109121.
  2. Liu, X., Liu, X., Adhikari, S. and Yin, S., "Extended Wittrick-Williams algorithm for eigenvalue solution of stochastic dynamic stiffness method", Mechanical Systems and Signal Processing, 166[3] (2022), pp. 108354.
  3. Adhikari, S. and Chakraborty, S., "Random matrix eigenvalue problems in structural dynamics: An iterative approach", Mechanical Systems and Signal Processing, 164[2] (2022), pp. 108260.

2021 4 papers · nos. 65–68

  1. Kasinos, S., Palmeri, A., Lombardo, M. and Adhikari, S., "A reduced modal subspace approach for damped stochastic dynamic systems", Computers and Structures, 257[12] (2021), pp. 106651.
  2. Liu, X., Zhao, X., Adhikari, S. and Liu, X., "Stochastic dynamic stiffness for damped taught membranes", Computers and Structures, 248[5] (2021), pp. 106483.
  3. Chatterjee, T., Adhikari, S. and Friswell, M. I., "Multi-level decomposition framework for reliability assessment of assembled stochastic linear structural systems", ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 7[1] (2021), pp. 04021003.
  4. Chatterjee, T., Karlicic, D., Adhikari, S. and Friswell, M. I., "Gaussian process assisted stochastic dynamic analysis of near-periodic structures", Mechanical Systems and Signal Processing, 149[2] (2021), pp. 107218.

2020 3 papers · nos. 62–64

  1. Chatterjee, T., Adhikari, S. and Friswell, M. I., "Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition", Computer Methods in Applied Mechanics and Engineering, 366[7] (2020), pp. 113060.
  2. Adhikari, S., Bhattacharya, B. and Rastogi, A., "Piezoelectric vortex induced vibration energy harvesting in a random flow field", Smart Materials and Structures, 29[3] (2020), pp. 035034.
  3. Jacquelin, E., Brizard, D., Adhikari, S., and Friswell, M. I., "Time-domain response of damped stochastic multiple-degree-of-freedom systems", ASCE Journal of Engineering Mechanics, 228[7] (2020), pp. 1635-1646.

2019 1 paper · no. 61

  1. Dey, S., Mukhopadhyay, T., Naskar, S., Dey, T. K., Chalak, H. D. and Adhikari, S., "Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates", Journal of Sandwich Structures and Materials, 21[1] (2019), pp. 366-397.

2018 4 papers · nos. 57–60

  1. Pryse, S. E., Kundu, A., and Adhikari, S., "Projection methods for stochastic dynamic systems: A frequency domain approach", Computer Methods in Applied Mechanics and Engineering, 338[8] (2018), pp. 412-439.
  2. Pryse, S. E., Adhikari, S. and Kundu, A., "Sample-based and sample-aggregated Galerkin projection schemes for structural dynamics", Probabilistic Engineering Mechanics, 54[10] (2018), pp. 118-130.
  3. Madinei, H., Khodaparast, H. H., Friswell, M. I. and Adhikari, S., "Minimising the effects of manufacturing uncertainties in MEMS Energy harvesters", Energy, 149[4] (2018), pp. 990-999.
  4. Dey, S., Mukhopadhyay, T., Sahu, S. K. and Adhikari, S., "Stochastic dynamic stability analysis of composite curved panels subjected to non-uniform partial edge loading", European Journal of Mechanics - A/Solids, 67[1-2] (2018), pp. 108-122.

2017 4 papers · nos. 53–56

  1. Pryse, S. E. and Adhikari, S., "Stochastic finite element response analysis using random eigenfunction expansion", Computers and Structures, 192[11] (2017), pp. 1-15.
  2. Jacquelin, E., Dessombz, O., Sinou, J.-J., Adhikari, S. and Friswell, M. I., "Polynomial chaos based eXtended Pade expansion in structural dynamics", International Journal for Numerical Methods in Engineering, 111[12] (2017), pp. 1170-11791.
  3. Mukhopadhyay, T., Chakraborty, S. Dey, S. and Adhikari, S. and Chowdhury, R., "A critical assessment of Kriging model variants for high-fidelity uncertainty quantification in dynamics of composite shells", Archives of Computational Methods in Engineering, 24[3] (2017), pp. 495-518.
  4. Naskar, S., Mukhopadhyay, T., Sriramula, S. and Adhikari, S., "Stochastic natural frequency analysis of damaged thin-walled laminated composite beams with uncertainty in micromechanical properties", Composite Structures, 160[1] (2017), pp. 312-334.

2016 13 papers · nos. 40–52

  1. Dey, S., Mukhopadhyay, T., Sahu, S. K.. and Adhikari, S., "Effect of cutout on stochastic natural frequency of composite curved panels", Composites Part B, 105[11] (2016), pp. 188-202.
  2. Jacquelin, E., Adhikari, S., Sinou, J.-J. and Friswell, M. I., "The role of roots of orthogonal polynomials in the dynamic response of stochastic systems", ASCE Journal of Engineering Mechanics, 142[8] (2016), pp. 06016004:1-8.
  3. Mukhopadhyay, T., Mahata, A., Dey, S. and Adhikari, S., "Probabilistic analysis and design of HCP nanowires: An efficient surrogate based molecular dynamics simulation approach", Journal of Materials Science Technology, 32[12] (2016), pp. 1345-1351.
  4. Dey, S., Mukhopadhyay, T., Adhikari, S., Spickenheuer, A. and Gohs, U., "Uncertainty quantification in natural frequency of composite plates - An Artificial neural network based approach", Advanced Composite Letter, 25[2] (2016), pp. 43-48.
  5. Adhikari, S. and Pascual, B., "The 'damping effect' in the dynamic response of stochastic oscillators", Probabilistic Engineering Mechanics, 44[4] (2016), pp. 2-17.
  6. Adhikari, S., Friswell, M. I., Litak, G. and Khodaparast, H. H., "Design and Analysis of Vibration Energy Harvesters Based on Peak Response Statistics", Smart Materials and Structures, 25[6] (2016), pp. 065009:1-16
  7. Dey, S., Naskar, S., Mukhopadhyay, T., Gohs, U., Spickenheuer, A., Bittric, L., Adhikari, S. and Heinrich, G., "Uncertain natural frequency analysis of composite plates including effect of noise - A polynomial neural network approach", Composite Structures, 143[5] (2016), pp. 130-142.
  8. Jacquelin, E., Friswell, M. I., Adhikari, S., Dessombz, O. and Sinou, J.-J., "Polynomial chaos expansion with random and fuzzy variables", Mechanical Systems and Signal Processing, 75[6] (2016), pp. 41-56.
  9. Dey, S., Mukhopadhyay, T., Spickenheuer, A., Adhikari, S. and Heinrich, G., "Bottom up surrogate based approach for stochastic frequency response analysis of laminated composite plates", Composite Structures, 140[4] (2016), pp. 712-727.
  10. Mukhopadhyay, T., Naskar, S., Dey, S. and Adhikari, S., "On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells", Composite Structures, 140[4] (2016), pp. 798-805.
  11. Jacquelin, E., Adhikari, S., Sinou, J.-J. and Friswell, M. I., "Polynomial chaos expansion in structural dynamics: Accelerating the convergence of the first two statistical moment sequences", Journal of Sound and Vibration, 356[11] (2015), pp. 144-154.
  12. Dey, S., Mukhopadhyay, T., Adhikari, S. and Khodaparast, H. H., "Stochastic natural frequency of composite conical shells", Acta Mechanica, 226[8] (2015), pp. 2537-2553.
  13. Jacquelin, E., Adhikari, S., Sinou, J.-J. and Friswell, M. I., "Polynomial chaos expansion and steady-state response of a class of random dynamical systems", ASCE Journal of Engineering Mechanics, 141[4] (2015), pp. 04014145:1-9.

2015 6 papers · nos. 34–39

  1. Dey, S., Mukhopadhyay, T., Sahu, S. K., Li, G., Rabitz, H. and Adhikari, S., "Thermal uncertainty quantification in frequency responses of laminated composite plates", Composite Part B, 80[6] (2015), pp. 186-197.
  2. Dey, S., Mukhopadhyay, T., Adhikari, S. Khodaparast, H. H. and Kerfriden, P., "Rotational and ply-level uncertainty in response of composite conical shells", Composite Structures, 131[6] (2015), pp. 594-605.
  3. Dey, S., Mukhopadhyay, T. and Adhikari, S., "Stochastic free vibration analyses of composite doubly curved shells - A Kriging model approach", Composites Part B: Engineering, 70[3] (2015), pp. 99-112.
  4. Kundu, A., Adhikari, S., Friswell, M. I., "Transient response analysis of randomly parametrized finite element systems based on approximate balanced reduction", Computer Methods in Applied Mechanics and Engineering, 285[3] (2015), pp. 542-570.
  5. Dey, S., Mukhopadhyay, T. and Adhikari, S., "Stochastic free vibration analysis of angle-ply composite plates - A RS-HDMR approach", Composite Structures, 122[4] (2015), pp. 526-536.
  6. Kundu, A. and Adhikari, S., "Dynamic analysis of stochastic structural systems using frequency adaptive spectral functions", Probabilistic Engineering Mechanics, 39[1] (2015), pp. 23-38.

2014 3 papers · nos. 31–33

  1. Kundu, A., Adhikari, S., "Transient response of structural dynamic systems with parametric uncertainty", ASCE Journal of Engineering Mechanics, 140[2] (2014), pp. 315-331.
  2. Kumar, P., Narayanan, S., Adhikari, S. and Friswell, M. I., "Fokker-Planck equation analysis of randomly excited nonlinear energy harvester", Journal of Sound and Vibration, 333[7] (2014), pp. 2040-2053.
  3. DiazDelaO , F. A., Kundu, A., Adhikari, S. and Friswell, M. I., "A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems", Computer Methods in Applied Mechanics and Engineering, 270[3] (2014), pp. 201-209.

2013 2 papers · nos. 29–30

  1. Borowiec, B., Litak, G., Friswell, M. I., Ali, S. F., Adhikari, S. and Lees, A. W. and Bilgen, O., "Energy harvesting in piezoelastic systems driven by random excitations", International Journal of Structural Stability and Dynamics, 13[7] (2013), pp. 1340006:1-11
  2. DiazDelaO , F. A. and Adhikari, S., Flores, E. I. S. and Friswell, M. I., "Stochastic structural dynamic analysis using Gaussian process emulators", Computers and Structures, 120[1] (2013), pp. 24-32.

2012 3 papers · nos. 26–28

  1. Pascual, B. and Adhikari, S., "Combined parametric-nonparametric uncertainty quantification using random matrix theory and polynomial chaos expansion", Computers & Structures, 112-113[12] (2012), pp. 364-379.
  2. Pascual, B., Adhikari, S., "Hybrid perturbation-polynomial chaos approaches to the random algebraic eigenvalue problem", Computer Methods in Applied Mechanics and Engineering, 217-220[1] (2012), pp. 153-167.
  3. Adhikari, S., Pastur, L., Lytova, A. and Du Bois, J. L., "Eigenvalue-density of linear stochastic dynamical systems: A random matrix approach", Journal of Sound and Vibration, 331[5] (2012), pp. 1042-1058.

2011 3 papers · nos. 23–25

  1. Litak, G., Borowiec, B., Friswell, M. I. and Adhikari, S., "Energy harvesting in a magnetopiezoelastic system driven by random excitations with uniform and Gaussian distributions", Journal of Theoretical and Applied Mechanics, 49[3] (2011), pp. 757-764.
  2. Adhikari, S., "Doubly spectral stochastic finite element method (DSSFEM) for structural dynamics", ASCE Journal of Aerospace Engineering, 24[3] (2011), pp. 264-276.
  3. Ali, S. F., Adhikari, S., Friswell, M. I. and Narayanan, S., "The analysis of piezomagnetoelastic energy harvesters under broadband random excitations", Journal of Applied Physics, 109[7] (2011), pp. 074904:1-8.

2010 6 papers · nos. 17–22

  1. Adhikari, S., "Uncertainty quantification in structural dynamics using non-central Wishart distribution", International Journal of Engineering Under Uncertainty: Hazards, Assessment and Mitigation, 2[3-4] (2010), pp. 123-139.
  2. Adhikari, S. and Chowdhury, R., "A reduced-order random matrix approach for stochastic structural dynamics", Computers and Structures, 88[21-22] (2010), pp. 1230-1238.
  3. Ali, S. F., Friswell, M. I. and Adhikari, S., "Piezoelectric energy harvesting with parametric uncertainty", Smart Materials & Structures, 19[10] (2010), pp. 105010:1-9.
  4. Adhikari, S. and Phani, A. Srikanth, "Random eigenvalue problems in structural dynamics: Experimental investigations", AIAA Journal, 48[6] (2010), pp. 1085-1097.
  5. Litak, G., Friswell, M. I. and Adhikari, S., "Magnetopiezoelastic energy harvesting driven by random excitations", Applied Physics Letters, 96[21] (2010), pp. 214103:1-3.
  6. Adhikari, S., "Generalized Wishart distribution for probabilistic structural dynamics", Computational Mechanics, 45[5] (2010), pp. 495-511.

2009 4 papers · nos. 13–16

  1. Adhikari, S. and Friswell, M. I., "Shaped modal sensors for linear stochastic beams", Journal of Intelligent Material Systems and Structures, 20[18] (2009), pp. 2269-2284.
  2. Adhikari, S., Friswell, M. I. and Inman, D. J., "Piezoelectric energy harvesting from broadband random vibrations", Smart Materials & Structures, 18[11] (2009), pp. 115005:1-7.
  3. Adhikari, S., Friswell, M. I., Lonkar, K. and Sarkar, A., "Experimental case studies for uncertainty quantification in structural dynamics", Probabilistic Engineering Mechanics, 24[4] (2009), pp. 473-492.
  4. Adhikari, S. and Sarkar, A., "Uncertainty in structural dynamics: experimental validation of a Wishart random matrix model", Journal of Sound and Vibration, 323[3-5] (2009), pp. 802-825.

2008 1 paper · no. 12

  1. Adhikari, S., "Wishart random matrices in probabilistic structural mechanics", ASCE Journal of Engineering Mechanics, 134[12] (2008), pp. 1029-1044.

2007 4 papers · nos. 8–11

  1. Adhikari, S., "Joint statistics of natural frequencies of stochastic dynamic systems", Computational Mechanics, 40[4] (2007), pp. 739-752.
  2. Adhikari, S., "On the quantification of damping model uncertainty", Journal of Sound and Vibration, 305[1-2] (2007), pp. 153-171.
  3. Adhikari, S., "Matrix variate distributions for probabilistic structural mechanics", AIAA Journal, 45[7] (2007), pp. 1748-1762.
  4. Adhikari, S. and Friswell, M. I., "Random matrix eigenvalue problems in structural dynamics", International Journal of Numerical Methods in Engineering, 69[3] (2007), pp. 562-591.

2006 2 papers · nos. 6–7

  1. Adhikari, S., "Random eigenvalue problems revisited", Sādhanā - Proceedings of the Indian Academy of Engineering Sciences, 31[4] (2006), pp. 293-314.
  2. Wagenknecht, T., Green, K., Adhikari, S. and Michiels, W., "Structured pseudospectra and random eigenvalue problems in vibrating systems", AIAA Journal, 44[10] (2006), pp. 2404-2414.

2004 1 paper · no. 5

  1. Adhikari, S., "Complex modes in stochastic systems", Advances in Vibration Engineering, 3[1] (2004), pp. 1-11.

2000 1 paper · no. 4

  1. Adhikari, S. and Manohar, C. S., "Transient dynamics of stochastically parametered beams", Journal of Engineering Mechanics, 126[11] (2000), pp. 1131-1140.

1999 1 paper · no. 3

  1. Adhikari, S. and Manohar, C. S., "Dynamic analysis of framed structures with statistical uncertainties", International Journal of Numerical Methods in Engineering, 44[8] (1999), pp. 1157-1178.

1998 2 papers · nos. 1–2

  1. Manohar, C. S. and Adhikari, S., "Dynamic stiffness of randomly parametered beams", Probabilistic Engineering Mechanics, 13[1] (1998), pp. 39-51.
  2. Manohar, C. S. and Adhikari, S., "Statistical analysis of vibration energy flow in randomly parametered trusses", Journal of Sound and Vibration, 217[1] (1998), pp. 43-74.
    Home | Research | Publications | Teaching | Lectures | Students and Post-docs | Education & awards | Professional activities | Contact | Departmental web page | Downloads
    This page was by Sondipon Adhikari