JOURNAL PUBLICATIONS

• Huang, S.-C. and Tien, M..-H., "A Hybrid Continuation Framework for Analyzing Nonlinear Normal Modes of Systems With Contact Nonlinearity", ASME Journal of Computational and Nonlinear Dynamics, 19(7), July, pp.071008, 2024. doi: 10.1115/1.4064272.

• Tien, M.-H., Lee, K.-Y., Huang, S.-C., "Analyzing the Backbone Curve of Piecewise-Linear Non-Smooth Systems Using a Generalized Bilinear Frequency Approximation Method", Mechanical Systems and Signal Processing, 204, Dec., 2023. doi: 10.1016/j.ymssp.2023.110765.

• Shahhosseini, A., Tien, M.-H., and D'Souza, K., "Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems With Coulomb Friction", ASME Journal of Computational and Nonlinear Dynamics, 18(7), July, pp.071004, 2023. doi:10.1115/1.4062203.

• Huang, S.-C., Chen, H.-W., and Tien, M.-H., "Predicting Nonlinear Modal Properties by Measuring Free Vibration Responses", ASME Journal of Computational and Nonlinear Dynamics, 18(4), April, pp.041005, 2023. doi: 10.1115/1.4056949.

• Hsu, C.-L. and Tien, M.-H., “Parametric Analysis of the Nonlinear Dynamics of a Cracked Cantilever Beam,” ASME Journal of Vibration and Acoustics, 145(3), June, pp. 031004, 2023. doi: 10.1115/1.4056644

• Shahhosseini, A., Tien, M.-H., and D’Souza, K. "Poincare maps: a modern systematic approach toward obtaining effective sections", Nonlinear Dynamics, 111, January, pp. 529-548, 2023. doi: https://doi.org/10.1007/s11071-022-07864-y

• Tien, M.-H., Lu, M.-F., and D'Souza, K., “Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations”, ASME Journal of Computational and Nonlinear Dynamics, 17(8), Aug, pp.081001, 2022. doi: 10.1115/1.4054152

• Noguchi, K., Saito, A., Tien, M.-H. and D'Souza, K., “Bilinear Systems with Initial Gaps Involving Inelastic Collision: Forced Response Experiments and Simulations”, ASME Journal of Vibration and Acoustics, 144(2), April, pp.021001, 2022. doi: 10.1115/1.4051493. doi: 10.1115/1.4051493

• Altamirano, G., Tien, M.-H. and D'Souza, K., “A New Method to Find the Forced Response of Nonlinear Systems with Dry Friction”. ASME Journal of Computational and Nonlinear Dynamics, 16(6), Jun, pp.061002, 2021. doi: 10.1115/1.4050686

• Tien, M.-H. and Kiran D'Souza, K., "Method for Controlling Vibration by Exploiting Piecewise-Linear Nonlinearity in Energy Harvesters", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 476, Jan, pp.20190491, 2020. doi: 10.1098/rspa.2019.0491

• Tien, M.-H., Hu, T., and D'Souza, K., “Statistical Analysis of the Nonlinear Response of Bladed Disks with Mistuning and Cracks”, AIAA Journal, 57(11), Nov, 2019. doi: 10.2514/1.J058190 

• Tien, M.-H. and D'Souza, K., “Transient dynamic analysis of cracked structures with multiple contact pairs using generalized HSNC“, Nonlinear Dynamics, 96(2), Apr, pp.1115-1131, 2019. doi: 10.1007/s11071-019-04844-7 

• Tien, M.-H. and D'Souza, K., “Analyzing Bilinear Systems Using a New Hybrid Symbolic-Numeric Computational Method,” ASME Journal of Vibration and Acoustics, 141(3), Jun, pp.031008, 2019. doi: 10.1115/1.4042520

• Tien, M.-H., Hu, T., and D'Souza, K., “Generalized Bilinear Amplitude Approximation and X-Xr for Modeling Cyclically Symmetric Structures with Cracks,” ASME Journal of Vibration and Acoustics, 140(4), Mar, pp.041012, 2018. doi: 10.1115/1.4039296

• Tien, M.-H. and D'Souza, K., “A Generalized Bilinear Amplitude and Frequency Approximation for Piecewise-Linear Nonlinear Systems with Gaps or Prestress,” Nonlinear Dynamics, 88(4), Jun, pp.2403-2416, 2017. doi: 10.1007/s11071-017-3385-5

• Lu, C.-H. and Tien, M.-H., “Pure-Rotary Periodic Motions of a Planar Two-Ball Auto-Balancer System,” Mechanical Systems and Signal Processing, 32, pp.251-268, 2012. doi: 10.1016/j.ymssp.2012.06.001

BOOK CHAPTERS

• Tien, M.-H., D’Souza, K. (2022). Analysis of General Piecewise-Linear Non-Smooth Systems Using a Hybrid Analytical-Numeric Computational Method. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81162-4_43

INTERNATIONAL CONFERENCE PUBLICATIONS

• Huang, S.-C. and Tien M.-H., “A Hybrid Continuation Framework for Analyzing Nonlinear Normal Modes of Piecewise-Linear Systems”, In Proceedings ASME International Design Engineering Technical Conferences and Computers and Information in Engineering, Volume 10: 19th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC), Boston, Massachusetts, August 20-23, 2023.

• Hsu, C.-L. and Tien M.-H., “Parametric Analysis of the Nonlinear Dynamics of Cracked Cantilever Beams”, In Proceedings of ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 10: 34th Conference on Mechanical Vibration and Sound (VIB), St. Louis, Missouri, August 15–17, 2022 (First place award in 2022 VIB Student Paper Competition).​

• Shahhosseini, A., Tien M.-H., and D'Souza, K., “Analysis and Evaluation of Piecewise-Linear Systems with Coulomb Friction Using a Hybrid Symbolic-Numeric Computational Method”, ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Virtual, Online, 2021 (Second place award in 2021 MSNDC Student Paper Competition).

• Saito, A., Umemoto, J., Noguchi, K., Tien, M.-H., and D'Souza, K., “Experimental Forced Response analysis of Two Degree-of-Freedom Piecewise-Linear Systems With a Gap”, In Proceedings of ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 7: 32nd Conference on Mechanical Vibration and Noise, Virtual, Online. August 17–19, 2020.

• Noguchi, K., Saito, A., Tien, M.-H., and D'Souza, K., “Forced Response Analysis of 2-DOF Piecewise-Linear Oscillator”, The Japan Society of Mechanical Engineers 2019 Dynamics and Design Conference, Fukuoka, Japan, 2019.

• Tien, M.-H., Hu, T. and D'Souza, K., “Efficient Analysis of Cyclic Symmetric Structures with Mistuning and Cracks,” AIAA Scitech 2019 Forum, pp.0489, San Diego, California, 2019.

• Altamirano, G., Tien, M.-H. and D'Souza, K., “Efficient Response Approximation for Systems with Coulomb Friction,” AIAA Scitech 2019 Forum, pp.2258, San Diego, California, 2019.

• Tien, M.-H. and D'Souza, K., “A Hybrid Symbolic-numeric Computational Method for Analysis of Bilinear Systems,” In Proceedings of ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 8: 29th Conference on Mechanical Vibration and Noise, Quebec City, Canada, 2018. 

• Tien, M.-H., Hu, T., and D'Souza, K., “Efficient Reduced-order Modeling and Response Approximation for Cracked Structures,” In Proceedings of ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 8: 29th Conference on Mechanical Vibration and Noise, Cleveland, Ohio, 2017. 

• D'Souza, K. and Tien, M.-H., “Bilinear Amplitude and Frequency Approximation for Nonlinear Systems With Gaps or Prestress,” In Proceedings of ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 8: 28th Conference on Mechanical Vibration and Noise, Charlotte, North Carolina, 2016. 

TAIWAN CONFERENCE PUBLICATIONS

• 吳祥立、陳昌毅、林義鈞、田孟軒。"應用環狀展開法分析傘狀衛星之振動模態"。第三十一屆中華民國振動與噪音工程學術研討會，台中。2024年7月。(研討會最佳論文獎第一名)

• 陳傳安、田孟軒。"可應用於雙向掃頻之新型非線性振動獵能系統"。第三十屆中華民國振動與噪音工程學術研討會，台北。2023年6月。(研討會最佳論文獎第三名)

• 徐佳伶、田孟軒。"具裂紋懸臂樑之非線性動態特性分析"。第二十九屆中華民國振動與噪音工程學術研討會，線上會議。2022年7月。(研討會最佳論文獎佳作)

• 李庚諺、田孟軒。"非平滑振動系統之共振頻率估測"。中國機械工程學會第三十八屆全國學術研討會，國立成功大學，臺南。2021年12月。

• 田孟軒、盧中仁。"滾珠平衡系統週期解的參數分析"。第十九屆中華民國振動與噪音工程學術研討會，大葉大學，彰化。2011年6月。

Contact Dr. Tien through ResearchGate to obtain specific papers.