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 76 within this area and counting from the oldest. 76 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 1 paper · no. 76

  1. 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.

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