More publications

Monographs, theses, contributions to monographs

Thomsen, J. J, Vibrations and Stability: Advanced Theory, Analysis, and Tools, 3rd ed., Springer Nature Switzerland, 2021. ISBN 978-3-030-68044-2. [Description / Solution manual / Errata].

Thomsen, J. J., Dynamic Effects of Nonlinearity and Fast Vibrations: Stiffening, Biasing, Smoothening, Chaos. Doctoral thesis, Technical University of Denmark, 2003. ISBN 87-90416-05-8.

Thomsen, J.J, Vibrations and Stability: Advanced Theory, Analysis, and Tools (2nd ed., revised), Springer-Verlag, Berlin Heidelberg, 2003. ISBN 3-540-40140-7.[Description / Reviews / Contents / Amazon.com / Amazon.co.uk / Errata / Solution manual].

Thomsen, J. J., Vibrations and Stability, Order and Chaos, McGraw-Hill, London, 1997. ISBN 0-07-709362-3.

Lazarov, B., Snaeland, S. O., and Thomsen, J. J. ‘High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions’, in: G. Leonov, H. Nijmeijer, A. Pogromsky, A. Fradkov (Eds.), Dynamics and Control of Hybrid Dynamical Systems, World Scientific, 2010, pp. 223-241.

Jensen, J. S., Thomsen, J. J. and Tcherniak, D. M., 'Non-trivial effects of high- frequency excitation for pendulum type systems', in I.I. Blekhman (ed.) Selected Topics in Vibrational Mechanics, series A on Stability, Vibration, and Control of Systems, pp. 73-137, World Scientific, 2003.

Thomsen, J. J., Parameter identification in models of human tibia structural dynamics (in Danish), Ph.D. thesis, DCAMM Report S41, Department of Solid Mechanics, Technical University of Denmark, 1987.

Scientific journal papers

Steffensen, M.T., Döhler, M., Tcherniak, D., Thomsen, J.J., ‘Variance estimation of modal parameters from the poly-reference least-squares complex frequency-domain algorithm’, Mechanical Systems and Signal Processing, Vol. 223, pp. 111905:1-20, 2025. [DOI: 10.1016/j.ymssp.2024.111905].

Ebbehøj, K.L., Couturier, P.J., Sørensen, L.M., Thomsen, J.J., ‘Experimental validation of a short-term damping estimation method for wind turbines in nonstationary operating conditions’, Wind Energy Science, Vol. 9, pp. 1005-1024, 2024. [DOI: 10.5194/wes-9-1005-2024].

Thomsen, J. J. and Ebbehøj, K. L., ‘Strong nonlinearity and external high-frequency forcing for controlling effective mechanical stiffness: theory and experiment’, Nonlinear Dynamics, Vol. 111(8), pp. 6985-7003, 2023. [DOI: 10.1007/s11071-023-08255-7].

Ebbehøj, K., Tatsis, K., Couturier, P., Thomsen, J.J., Chatzi, E., ‘Short-term damping estimation for time-varying vibrating structures in nonstationary operating conditions’, Mechanical Systems and Signal Processing, Vol. 205, pp. 110851:1-19, 2023. [DOI: 10.1016/j.ymssp.2023.110851].

Brøns, M., Plaugmann, A., Fidlin, A., and Thomsen, J. J., ‘Coupling effects with vibration-based estimation of individual bolt tension in multi-bolt structures’, Journal of Sound and Vibration, Vol. 528, pp. 116873:1-17, 2022. [DOI: 10.1016/j.jsv.2022.116873].

Sah, S. M, Thomsen, J. J., and Tcherniak, D., ‘Linearly coupled transverse vibrations of tensioned bolts’, Noise & Vibration Worldwide, Vol. 53(9-10), 433-438, 2022. [DOI: 10.1177/09574565221128060].

Brøns, M., Thomsen, J. J., Sah, S. M., Tcherniak, D., and Fidlin, A., ‘Estimating bolt tension from vibrations: transient features, nonlinearity, and signal processing’, Mechanical Systems and Signal Processing, Vol. 150, pp. 107224:1-17, 2021. [DOI: 10.1016/j.ymssp.2020.107224].

Sorokin, V. S., Thomsen, J. J., and Brøns, M., ’Coupled longitudinal and transverse vibrations of tensioned Euler-Bernoulli beams with general linear boundary conditions’, Mechanical Systems and Signal Processing, Vol 150, Article 107244, 21pp., 2021. [DOI: 10.1016/j.jsv.2020.115617].

Brøns, M. and Thomsen, J. J., ‘Vibration-based estimation of boundary stiffness and axial tension in beams using added mass’, Journal of Sound and Vibration, Vol. 487, Article 115617, 16pp., 2020. [DOI: 10.1016/j.jsv.2020.115617].

Sah, S. M., Thomsen, J. J., and Fidlin, A., ‘Transverse vibrations of tightened bolts: Simplified modeling of tension-dependent boundary stiffness and damping’, Engineering Structures, Vol. 205, 110049, 6pp., 2020. [DOI: 10.1016/j.engstruct.2019.110049].

*Thomsen, J. J. and Fuglede, N., ‘Perturbation-based prediction of vibration phase shift along fluid-conveying pipes due to Coriolis forces, nonuniformity, and nonlinearity’, Nonlinear Dynamics, Vol. 99, No. 1, Special Issue: In Memory of Professor Ali H. Nayfeh, pp. 173-199, 2020. [DOI: 10.1007/s11071-019-04934-6].

Brøns, M. and Thomsen, J. J., ‘Experimental testing of Timoshenko predictions of supercritical natural frequencies and mode shapes for free-free beams’, Journal of Sound and Vibration, Vol. 459, Article 114856 (14pp.), 2019. [DOI: 10.1016/j.jsv.2019.114856].

Neumeyer, S., Sorokin, V.S., van Gastel, M. H. M., and Thomsen, J. J., ‘Frequency detuning effects for a parametric amplifier’, Journal of Sound and Vibration, Vol. 445, pp. 77-87, 2019. [DOI: 10.1016/j.jsv.2018.12.036].

Sah, S. M., Thomsen, J. J., and Tcherniak, D., ‘Transverse vibrations induced by longitudinal excitation in beams with geometrical and loading imperfections’, Journal of Sound and Vibration, Vol. 444, pp. 152-160, 2019. [DOI: 10.1016/j.jsv.2018.12.027].

Rebouças, G. F. S., Santos, I. F., and Thomsen, J. J., ‘Unilateral vibro-impact systems - Experimental observations against theoretical predictions based on the coefficient of restitution’, Journal of Sound and Vibration, Vol. 440, pp. 346-371, 2018. [DOI: 10.1016/j.jsv.2018.10.037].

Sah, S. M., Thomsen,  J. J., Brøns, M., Fidlin, A., Tcherniak, D., ‘Estimating bolt tightness using transverse natural frequencies’, Journal of Sound and Vibration, Vol. 431, pp. 137-149, 2018. [DOI: 10.1016/j.jsv.2018.05.040].

Hermansen, M. H. and Thomsen, J. J., ‘Vibration-based estimation of beam boundary parameters’, Journal of Sound and Vibration, Vol. 429, pp. 287-304, 2018. [DOI: 10.1016/j.jsv.2018.05.016].

Rebouças, G. F. S., Santos, I. F., and Thomsen, J. J., ‘Validation of vibro-impact force models by numerical simulation, perturbation methods and experiments’, Journal of Sound and Vibration, Vol. 413, pp. 291-307, 2018. [DOI: 10.1016/j.jsv.2017.10.028].

Sorokin V.S. and Thomsen, J. J., ‘Wave propagation in axially moving periodic strings’, Journal of Sound and Vibration, Vol. 393, pp. 133-144, 2017. [DOI: 10.1016/j.jsv.2017.01.014].

Neumeyer, S., Sorokin V.S., and Thomsen, J.J., ‘Effects of quadratic and cubic nonlinearities on a perfectly tuned parametric amplifier’, Journal of Sound and Vibration, Vol. 386, pp. 327-335, 2017. [DOI: 10.1016/j.jsv.2016.09.013].

Sorokin, V.S. and Thomsen, J. J., ‘Effects of weak nonlinearity on the dispersion relation and frequency band-gaps of a periodic Bernoulli–Euler beam’, Proceedings of the Royal Society A, Vol. 472, no. 2186, , pp. 20150751, 2016. [DOI: 10.1098/rspa.2015.0751].

Fuglede, N. and Thomsen, J.J., ‘Kinematic and dynamic modeling and approximate analysis of a roller chain drive’, Journal of Sound and Vibration, Vol. 366, pp. 447-470, 2016.  [DOI: 10.1016/j.jsv.2015.12.028]

Fuglede, N. and Thomsen, J.J., ‘Kinematics of roller chain drives - Exact and approximate analysis’, Mechanism and Machine Theory, Vol. 100, pp- 17-32, 2016. [DOI: 10.1016/j.mechmachtheory.2016.01.009].

Schilder, F., Bureau, E., Santos, I., Thomsen, J.J., and Starke, S. ‘Experimental bifurcation analysis - Continuation for noise-contaminated zero problems’, Journal of Sound and Vibration, Vol. 358, pp. 251-266, 2015. [DOI: 10.1016/j.jsv.2015.08.008].

Sorokin, V.S. and Thomsen, J.J, ‘Eigenfrequencies and eigenmodes of a beam with periodically continuously varying spatial properties’, Journal of Sound and Vibration, Vol. 347, pp. 14-26, 2015. [DOI: 10.1016/j.jsv.2015.03.002].

Sorokin, V.S. and Thomsen, J.J, ‘Vibration suppression for strings with distributed loading using spatial cross-section modulation’, Journal of Sound and Vibration, Vol. 335, no. 1, pp. 66-77, 2015. [DOI: 10.1016/j.jsv.2014.09.028].

Bureau, E., Schilder, F., Elmegård, M., Santos, I.F., Thomsen, J.J., and Starke, J., ‘Experimental bifurcation analysis of an impact oscillator – determining stability’, Journal of Sound and Vibration , Vol. 333, no. 21, pp. 5464-5474, 2014. DOI: 10.1016/j.jsv.2014.05.032.

Elmegaard, M., Krauskopf, B., Osinga, H., Starke, J., Thomsen, J.J., ‘Bifurcation analysis of a smoothed model of a forced impacting beam and comparison with an experiment’, Nonlinear Dynamics, Vol. 77, no. 3, pp. 951-966, 2014. DOI: 10.1007/s11071-014-1353-x.

Bureau, E., Schilder, F., Santos, I.F., Thomsen, J.J., and Starke, J., ‘Experimental bifurcation analysis of an impact oscillator – tuning a non-invasive control scheme’, Journal of Sound and Vibration, Vol. 332, no. 22, pp. 5883-5897, 2013. [DOI: 10.1016/j.jsv.2013.05.033]

Enz, S. and Thomsen, J.J., ‘Predicting phase shift effects for vibrating fluid-conveying pipes due to Coriolis forces and fluid pulsation’, Journal of Sound and Vibration, Vol. 330, no. 21, pp. 5096-5113, 2011. [DOI: 10.1016/j.jsv.2011.05.022]

Enz, S., Thomsen, J.J., and Neumeyer, S. ‘Experimental investigation of zero phase shift effects for Coriolis flowmeters due to pipe imperfections’, Flow Measurement and Instrumentation, Vol. 22, no. 1, pp. 1-9, 2011. [DOI: 10.1016/j.flowmeasinst.2010.10.002]

Thomsen, J.J. and Dahl, J., ‘Analytical predictions for vibration phase shifts along fluid-conveying pipes due to Coriolis forces and imperfections’, Journal of Sound and Vibration, Vol. 329, no. 15, pp. 3065-3081, 2010. [ DOI: 10.1016/j.jsv.2010.02.010]

Sorokin, V.S., Blekhman, I.I., and Thomsen, J.J. ‘Motions of elastic solids in fluids under vibration’, Nonlinear Dynamics, Vol. 60, no. 4, pp. 639-650, 2010. [DOI: 10.1007/s11071-009-9621-x]

Lazarov, B.S. and Thomsen, J.J., 'Using high-frequency vibrations and non-linear inclusions to create metamaterials with adjustable effective properties', International Journal of Non-linear Mechanics, Vol. 44, no. 1, pp. 90-97, 2009. [DOI: 10.1016/j.ijnonlinmec.2008.09.001]

Thomsen, J.J., 'Effective properties of mechanical systems under high-frequency excitation at multiple frequencies', Journal of Sound and Vibration, Vol. 311, No. 3-5, pp. 1249-1270, 2008. [DOI: 10.1016/j.jsv.2007.10.012]

Thomsen, J.J. and Fidlin, A., 'Near-elastic vibro-impact analysis by discontinuous transformations and averaging', Journal of Sound and Vibration, Vol. 311, No. 1-2, pp. 386-407, 2008. [DOI: 10.1016/j.jsv.2007.09.007]

Fidlin, A. and Thomsen, J.J., 'Nontrivial effects of high-frequency excitation for strongly damped mechanical systems', International Journal of Non-linear Mechanics, Vol. 43, no. 7, pp. 569-578, 2008. [DOI: 10.1016/j.ijnonlinmec.2008.02.002]

Thomsen, J.J, 'Slow high-frequency effects in mechanics: problems, solutions, potentials', International Journal of Bifurcation and Chaos, Vol. 15, No. 9, pp. 2799–2818, 2005. [DOI: doi.org/10.1142/S0218127405013721]

Thomsen, J.J, 'Book review: Theory of Vibro-Impact Systems and Applications by V. I. Babitsky', Journal of Vibration and Acoustics, Vol. 126, No. 2, pp. 317-318, 2004. [DOI: 10.1115/1.1691075]

Thomsen, J.J., 'Theories and experiments on the stiffening effect of high- frequency excitation for continuous elastic systems', Journal of Sound and Vibration, Vol. 260, No. 1, pp. 117-139, 2003. [DOI: 10.1016/S0022-460X(02)00916-1]

Thomsen, J.J. and Fidlin, A., 'Analytical approximations for stick-slip vibration amplitudes, International Journal of Non-linear Mechanics, Vol. 38, No. 3, pp. 389-403, 2003. [DOI: 10.1016/S0020-7462(01)00073-7]

Thomsen, J.J, 'Book review: Vibrational Mechanics by I. I. Blekhman', Nonlinear Dynamics, Vol. 33, No. 1, pp. 103-104, 2003. [DOI: 10.1023/A:1025550101579]

Andersen, S.B. and Thomsen, J.J., 'Post-critical behavior of Beck's column with a tip mass', International Journal of Non-linear Mechanics, Vol. 37, No. 1, pp. 135-151, 2002. [DOI: 10.1016/S0020-7462(00)00102-5]

Thomsen, J.J., 'Some general effects of strong high-frequency excitation: stiffening, biasing, and smoothening', Journal of Sound and Vibration, Vol. 253, No. 4, pp. 807-831, 2002. [DOI: 10.1006/jsvi.2001.4036]

Thomsen, J.J. and Tcherniak, D.M., 'Chelomei's pendulum explained', Proceedings of the Royal Society of London A, Vol. 457, No. 2012, pp. 1889-1913, 2001. [DOI: 10.1098/rspa.2001.0793]

Fidlin, A. and Thomsen, J.J., 'Predicting vibration-induced displacement for a resonant friction slider', European Journal of Mechanics/A Solids, Vol. 20, No. 1, pp. 155-166, 2001. [DOI: 10.1016/S0997-7538(00)01134-7]

Jensen, J.S., Tcherniak, D.M. and Thomsen, J.J., 'Stiffening effects of high- frequency excitation: experiments for an axially loaded beam', ASME Journal of Applied Mechanics, Vol. 67, No. 2, pp. 397-402, 2000. [DOI: 10.1115/1.1304824]

Thomsen, J.J., 'Using fast vibrations to quench friction-induced oscillations', Journal of Sound and Vibrations, Vol. 228, No. 5, pp. 1079-1102, 1999. [DOI: 10.1006/jsvi.1999.2460]

Tcherniak, D. and Thomsen, J.J., 'Slow Effects of Fast Harmonic Excitation for Elastic Structures', Nonlinear Dynamics, Vol. 17, No. 3, pp. 227-246, 1998. [DOI: 10.1023/A:1008344809765]

Miranda, E.C., and Thomsen, J.J., 'Vibration induced sliding: theory and experiment for a beam with a spring-loaded mass', Nonlinear Dynamics, Vol. 16, No. 2, pp. 167-186, 1998. [DOI: 10.1023/A:1008220201070]

Thomsen, J.J., 'Vibration suppression by using self-arranging mass: Effects of adding restoring force', Journal of Sound and Vibration, Vol. 197, no. 4, pp. 403-425, 1996. [DOI: 10.1006/jsvi.1996.0540]

Thomsen, J.J., 'Chaotic dynamics of the partially follower-loaded elastic double-Pendulum', Journal of Sound and Vibration, Vol. 188, No. 3, pp. 385-405, 1995. [DOI: 10.1006/jsvi.1995.0600]

Thomsen, J.J., 'Chaotic vibrations of non-shallow arches', Journal of Sound and Vibration, Vol. 153, pp. 239-258, 1992. [DOI: 10.1016/S0022-460X(05)80005-7]

Thomsen, J.J. and Lund, K., 'Quality control of composite materials by neural network analysis of ultrasonic power-spectra', Materials Evaluation, Vol. 49, pp. 594-600, 1991. [Download from core.ac.uk]

Thomsen, J.J., 'Modelling human tibia structural vibrations', Journal of Biomechanics, Vol. 23, pp. 215-228, 1990. [DOI: 10.1016/0021-9290(90)90013-S]

Papers in reviewed scientific conference proceedings

Steffensen, M.T., Tcherniak, D., Thomsen, J.J., 'Accurate frequency response function estimation using noise measurements in experimental modal analysis’, in: Journal of Physics: Conference Series 2647, 212003 (10pp.), 2024. [DOI: 10.1088/1742-6596/2647/21/212003].

Steffensen, M.T., Thomsen, J.J., Tcherniak, D., 'Including noise measurements for improved experimental frequency response function estimation’, in: Proceedings of the10th International Conference on Experimental Vibration Analysis for Civil Engineering Structures – EVACES 2023, August 30 - September 1, 2023, Politecnico di Milano, Italy.

Ebbehøj, K., Tatsis, K., Couturier, P., Thomsen, J.J., Chatzi, E., ‘Short-term damping identification of wind turbine blade modes under environmental and operational variability using Gaussian process time series models’, in Proceedings of the 9th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2023), 12-14 June 2023, Athens, Greece, 1pp.

Ebbehøj, K., Tatsis, K., Couturier, P., Thomsen, J.J., Chatzi, E., ‘Short-term damping identification for operational wind turbines using Gaussian process time-series models’, in Proceedings of the International Modal Analysis Conference - IMAC 2023 (IMAC XLI), February 16-23, 2023, Austin, Texas, USA, 3pp.

Steffensen, M.T., Thomsen, J.J., and Tcherniak, D., ‘Uncertainty quantification in modal parameter estimation algorithm in case of input and output noise’, in: Proceedings of the ISMA2022 International Conference on Noise and Vibration Engineering, 12-14 September, 2022, Leuven, Belgium, 15pp.

Brøns, M. and Thomsen, J. J., ' Nonlinearity in estimating bolt tension from vibrations', in Proceedings of the 10th European Nonlinear Dynamics Conference (ENOC 2022), Lyon, France, July 17-22, 2022, 2pp.

Ebbehøj, K., Couturier, P., Orlowitz, E., Høgsberg, J. B., and Thomsen, J. J., 'Comparison of methods for estimating short-term damping of idling wind turbine modes from measurements', in: Journal of Physics: Conference Series 2265, 032043 (10pp.), 2022. [DOI: 10.1088/1742-6596/2265/3/032043]

Steffensen, M. T., Thomsen, J. J, and Tcherniak D., ‘Sensitivity of Modal Parameter Uncertainties to Measurement Errors: A Case Study’, in Proceedings of International Modal Analysis Conference (IMAC 2022), February 7-10, 2022, Orlando, Florida, USA. 1p.

Tcherniak, D., Thomsen, J. J., and Brøns, M., ‘Vibrations for Estimating Bolted Joint Integrity (VEBJI) project: challenges and results’, in Proceedings of the XI International Conference on Structural Dynamics (EURODYN 2020), June 22-24, 2020, Athens, Greece, 14pp.

Brøns, M., Plaugmann, A., Thomsen, J. J., and Fidlin, A., ‘Vibration-based bolt tension estimation for multi-bolt joints’, in Proceedings of International Modal Analysis Conference - IMAC 2020 (IMAC XXXVIII), February 10-13, 2020, Houston, Texas, USA, 4pp.  DOI: 10.1007/978-3-030-47626-7_21.

Brøns, M., Ebbehøj, K. L., Tcherniak, D., and Thomsen, J. J., ‘Using piezoelectrically excited transverse vibrations for bolt tension estimation’, in Proceedings of the International Conference on Noise and Vibration Engineering (ISMA2020), Sep. 7-9, 2020, Leuven, Belgium, 12pp.

Brøns M., Thomsen J. J., Sah S. M., Tcherniak D., and Fidlin A., ‘Analysis of transient vibrations for estimating bolted joint tightness’, in Kerschen G., Brake M., and Renson L. (eds), Nonlinear Structures and Systems, Vol.1, pp. 21-24, Conference Proceedings of the Society for Experimental Mechanics Series, Springer, Cham, 2020. [DOI: 10.1007/978-3-030-12391-8_3]

Brøns, M. and Thomsen, J. J., ‘Vibration-based estimation of bolt tension – coping with unknown boundaries’, in Proceedings of the Tribomechadynamics 2019 Conference (TMD2019), Rice University, July 31 - August 2, 2019, Houston, Texas, USA, 2pp.

Sah, S. M., Thomsen, J. J., Fidlin, A., ‘Estimating bolt tightness from measured vibrations: Effective linearity of nonlinear boundary stiffness’, in Proceedings of the The First International Nonlinear Dynamics Conference (NODYCON 2019), Feb. 17-20, 2019, Rome, 2.pp.

Brøns, M., Thomsen, J. J., Fidlin, A., Tcherniak, D., Sah, S. M., ‘Modal impact testing for estimating bolted joint tightness’, in Proceedings of the International Conference on Noise and Vibration Engineering (ISMA2018), Sep. 17-19, 2018, Leuven, Belgium, 8.pp.

Rebouças, G. F. S., Santos, I. F., and Thomsen, J. J., ‘Validation of unilateral impact models using numerical simulations, perturbation methods and experiments’, in Proceedings of the 4th International Conference on Vibro-Impact-Systems and Systems With Non-Smooth Interactions (ICOVIS 2018), Kassel, Germany, July 30 - August 3, 2018.

Sah, S. M., Thomsen, J. J., Brøns, M., Fidlin, A., Tcherniak, D., ‘Estimating bolt tightness from measured vibrations: Influence of boundary nonlinearity’, in Proceedings of the 10th European Solid Mechanics Conference (ESMC 2018), Bologna, Italy, July 2-6, 2018, 1.pp.

Tcherniak, D., Thomsen, J. J., ‘On the feasibility of utilizing vibrations for bolted joint assessment’, in Proceedings of the 9th European Workshop on Structural Health Monitoring (EWSHM 2018), July 10-13, 2018, Manchester, UK, 10pp.

Sah, S. M., Thomsen, J. J., Brøns, M., Fidlin, A., Tcherniak, D., ‘Estimating bolt tightness from measured vibrations: Influence of boundary nonlinearity’, in Proceedings of the International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD'2018), June 25-27, 2018, Tangier, Morocco, 1.pp.

Thomsen, J. J., Sah, S. M., Fidlin, A., and Tcherniak, D., 'Vibration-based testing of bolted joints', in Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), Budapest, Hungary, June 25-30, 2017, 2pp.

Rebouças, G. F. S., Santos, I. F., and Thomsen, J. J., ‘Experimental validation of vibro-impact force models using numeric simulation and perturbation methods’, in Proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), Budapest, Hungary, June 25-30, 2017, 2pp.

Brøns, M. and Thomsen, J. J., ‘Scanning laser Doppler vibrometry’, in Stang, H. (ed.): Abstract Book, 1st International Symposium on Multi-Scale Experimental Mechanics (ISMEM 1), DTU Risø Campus, Roskilde, October 5, 2016, pp. 15-16.

Sorokin, V. S. and Thomsen, J. J., ‘Weakly nonlinear dispersion and stop-band effects for periodic structures’, in Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2015), Crete Island, Greece, May 25-27, 2015, 1pp.

Neumeyer, S., van Gastel, M. H. M., Sorokin, V. S., and Thomsen, J. J., ‘Frequency detuning effects for parametrically and directly excited elastic structures’, in Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2015), Crete Island, Greece, May 25 – 27, 2015, 7pp.

Sorokin, V. S. and Thomsen, J. J., ‘The method of varying amplitudes for solving (non)linear problems involving strong parametric excitation’, inProceedings of the IUTAM Symposium on Analytical Methods in Nonlinear Dynamics (IUTAM 2015), Frankfurt, Germany, July 6-9, 2015, 2pp.

Sorokin, V. S. and Thomsen, J. J., ‘Effects of weak nonlinearity on dispersion relations and frequency band-gaps of periodic structures’, in Proceedings of the 22nd International Congress on Sound and Vibration (ICSV22), Florence, Italy, July 12-16, 2015, 7pp.

Neumeyer, S., van de Looij, R., and Thomsen, J. J., ’Jumps and bi-stability in the phase-gain characteristics of a nonlinear parametric amplifier’, in: Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014), Vienna, Austria, July 6-11, 2014, 2pp.

Schilder, F., Bureau, E., Santos, I., Thomsen, J. J., and Starke, S. ‘CONTINEX: A Toolbox for Continuation in Experiments’, in: Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014), Vienna, Austria, July 6-11, 2014, 2pp.

Bureau, E. Schilder, F., Santos, I., Thomsen, J. J., and Starke, S. ‘Experiments in nonlinear dynamics using control-based continuation: Tracking stable and unstable response curves’, in: Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014), Vienna, Austria, July 6-11, 2014, 2pp.

Fuglede, N. and Thomsen, J. J., ‘Chain drive vibration analysis based on a string model with boundaries moving non-smoothly’, in: A. Fidlin et al. (Ed.), Proceedings of the 3rd International Conference on Vibro-Impact Systems and Systems with Non-smooth Interactions (ICOVIS 2013),Leinsweiler, Germany, July 22-26, 2013.

Neumeyer, S. and Thomsen, J. J., ‘Macromechanical parametric amplification with a base-excited doubly-clamped beam’, Proceedings of 11th Biennial International Conference on Vibration Problems (ICOVP-2013), Lisbon, Portugal, 9-13 September 2013,  8pp.

Fuglede, N. and Thomsen, J. J., 'Vibrations of axially moving strings with in-plane oscillating supports', in: F. Dohnal et al. (Ed.), Proceedings of EUROMECH 532 – 1st International Colloquium on Time-periodic Systems, TU Darmstadt, August 27–30, 2012, 4pp.

Neumeyer, S. and Thomsen, J. J., ' Macroscale mechanical domain parametric amplification: superthreshold pumping and optimal excitation parameters', in: F. Dohnal et al. (Ed.), Proceedings of EUROMECH 532 – 1st International Colloquium on Time-periodic Systems, TU Darmstadt, August 27–30, 2012, 4pp.

Bureau, E., Schilder, F., Santos, I. F., Thomsen, J. J., and Starke, J., ‘Experimental Bifurcation Analysis By Control-based Continuation - Determining Stability’, in: Proceedings of the 24th Conference on Mechanical Vibration and Noise (VIB), ASME - IDETC/CIE 2012, 12-15 August, 2012, Chicago.

Fuglede, N.; Thomsen, J. J., ‘Roller chain drive analysis: simplified modeling and analysis of the dynamic effects of meshing’, in: G. Rega et al. (Ed.), Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24-29, 2011, 2pp.

Bureau, E., Santos, I. F., Thomsen, J. J., Schilder, F., and Starke, J., ‘Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation’, in: G. Rega et al. (Ed.), Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24-29, 2011, 6pp.

Elmegaard, M., Starke, J., Schilder, F. and Thomsen, J. J., ‘Low-dimensional approximations for Finite Element Models of mechanical systems’, in: G. Rega et al. (Ed.), Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24-29, 2011, 2pp.

Kragh, K. A., Thomsen, J. J., and Tcherniak, D. ‘Experimental detection and quantification of structural nonlinearity using homogeneity and hilbert transform methods’, in: Proceedings of the ISMA2010 International Conference on Noise and Vibration Engineering, 20-22 September, 2010, Leuven, Belgium,  15pp.

Sønderby, I., Hansen, M. H., and Thomsen, J. J., ‘Flutter-based wind energy harvesting’, in: Proceedings of Torque 2010 - The Science of making Torque from Wind, June 28-30, 2010, FORTH, Heraklion, Crete, Greece, 2010, p. 9pp.

Thomsen, J. J., ‘Nonlinear vibrations at work: some potentials and obstacles’, In M. Wiercigroch (ed.)., in: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design (NDATED), University of Aberdeen, Scotland, UK, 27-30 July 2010, 2 pp.

Thomsen, J. J,  Dahl, J., Fuglede, N., and Enz, S., 'Predicting phase shift of elastic waves in pipes due to fluid flow and imperfections', in M. R. Pawelczyk and D. Bismor (eds.), Proceedings of the 16th International Congress on Sound and Vibration (ICSV16), Kraków, Poland, July 5-9, 2009, 8 pp.

Enz, S. and Thomsen, J. J., ‘Phase shift effects for vibrating pipes conveying pulsating fluid’, in Proceedings of the 7th EUROMECH Solid Mechanics Conference (ESMC2009), Lisbon, September 7-11, 2009., 2 pp

Enz, S. and Thomsen, J. J. ‘Dynamics of fluid-conveying pipes: effects of velocity profiles’, Proceedings of XXII ICTAM, 25–29 August 2008, Adelaide, Australia.

Dahl, J. and Thomsen, J. J. ‘Phase shift effects for fluid conveying pipes with non-ideal supports’, Proceedings of XXII ICTAM, 25–29 August 2008, Adelaide, Australia

Lazarov, B., Snaeland, S. O., and Thomsen, J. J. ‘Using strong nonlinearity and high-frequency vibrations to control effective properties of discrete elastic waveguides’,  in B. R. Andrievsky and A. L. Fradkov (eds.), Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference (ENOC 2008), June 30 - July 4, 2008, St. Petersburg, Russia, 6. pp. [Abstract / Full text PDF]

Thomsen, J. J. ‘Using strong nonlinearity and high-frequency vibrations to control effective mechanical stiffness’, in B. R. Andrievsky and A. L. Fradkov (eds.), Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference (ENOC 2008), June 30 - July 4, 2008, St. Petersburg, Russia, 9 pp. [Abstract / Full text PDF]

Thomsen, J. J. and Blekhman, I.I., 'Using nonlinearity and spatiotemporal property modulation to control effective structural properties: dynamic rods', in M. M. Papadrakakis et al. (eds.), Proceedings of COMPDYN2007 (ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering), 13-16 June 2007, Rethymno, Crete, Greece, 2007, 12 pp. [Abstract]

Thomsen, J. J., 'Computing effective properties of nonlinear structures exposed to strong high-frequency loading at multiple frequencies’, in C. A. Mota Soares et.al (eds.), Proceedings of the III European Conference on Computational Mechanics (ECCM2006), Lisbon, June 5–9, 2006, 20 pp.

Thomsen, J. J., ‘Slow high-frequency effects in mechanics: problems, solutions, potentials’ (invited keynote lecture), in: D.H. van Campen, M.D. Lazurko, W.P.J.M. van der Oever (Eds.), Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005), Eindhoven, Netherlands, 7-12 August 2005, Technical University of Eindhoven, 2005, pp. 143-193.

Thomsen, J. J. and Fidlin, A., 'Discontinuous transformations and averaging for vibro-impact analysis', in Proceedings of the XXI Int. Congress of Theoretical and Applied Mechanics, 15-21 August 2004, Warsaw. [Abstract / Extended Summary]

Fidlin, A. and Thomsen, J. J., 'Non trivial effect of strong high-frequency excitation on a nonlinear controlled system', in Proceedings of the XXI Int. Congress of Theoretical and Applied Mechanics, 15-21 August 2004, Warsaw. [Abstract / Extended Summary]

Thomsen, J. J., 'Strange Effects of Strong High-Frequency Excitation', in M. P. Cartmell (ed.), Modern Practice in Stress and Vibration Analysis, Trans Tech Publications, Uetikon-Zuerich, 2003, pp. 3-10. [Restricted preview]

Jensen, J. S., Sigmund, O, Thomsen, J. J., and Bendsøe, M.  P., 'Design of multi-phase structures with optimized vibrational and wave-transmitting properties', In E. Lund, N. Olhoff, and J. Stegmann (eds.), Proceedings of the 15th Nordic Seminar on Computational Mechanics, 18-19 October, 2002. Aalborg, Denmark: Aalborg University, Institute of Mechanical Engineering, pp. 63-66, 2002. [FullText]

Thomsen, J. J., 'Vibration-induced displacement using high-frequency resonators and friction layers', in Proceedings of the IUTAM / IFToMM Symposium on Synthesis of nonlinear Dynamical Systems SNDS 98,August 24-28, 1998, Riga, Latvia. Klüwer Academic Press, 2000.

Thomsen, J. J., 'Vibration induced sliding of mass: non-trivial effects of rotatory inertia', in Proceedings of the EUROMECH - 2nd European Nonlinear Oscillation Conference, Prague, Sept. 9-13, 1996, Vol. 1, pp. 455-458.

Teaching material

Thomsen, J. J: Vibrations and Stability: Solved Problems, Technical University of Denmark, Dept. of Mechanical Engineering, 2023 (132 pages).

Thomsen, J. J., Berggreen, C., and Andreasen, C. S.: ’DTU Course 41808: Experimental Solid Mechanics. Exercise Instructions & Compendium, 44 pp., Department of Mechanical Engineering, Technical University of Denmark, 2023 (448 pages).

Thomsen, J. J.: 41564 Dynamik og Svingninger: Opgaver & Løsninger (in Danish), DTU Civil and Mechanical Engineering, Technical University of Denmark, 2022 (154 pages).

Thomsen, J. J., Nonlinear Dynamic Interactions: Tools, Examples, Cases, Dept. of Solid Mechanics, DTU, May 1997. Lecture notes for the Ph.D.-course 'Vibrations and Stability, Advanced Analysis and Synthesis' given at the Dept. of Solid Mechanics, DTU, June 1625, 1997 (120 pages).

Thomsen, J. J.: ’BeamPlotLib – A Platform Independent C++ Software Library using OpenGL and GLUT (for use in DTU course 41515 Applied Programming), DTU October 2001, 11 pages.

Thomsen, J. J., 'Non-trivial effects of Fast Excitation: Some Simple Examples and Theory', contribution to the Fast Vibration Phenomena Page, October 1998.