JOURNAL PUBLICATIONS

• Chen, X.-H. and Tien, M.-H., "Method for Constructing a Compact Component Mode Synthesis Model for Analyzing Nonlinear Normal Modes of Structures With Localized Nonlinearities", ASME Journal of Vibration and Acoustics, 146(6), December, pp.061103, 2024. doi: 10.1115/1.4067107.

• Wu, H.-L., Chen, C.-Y., Lin, Y.-J., and Tien, M.-H., "Efficient Cyclic Modeling and Resonance Analysis of Umbrella-Shaped Satellite Structures", AIAA Journal, 62(12), December, pp. 4893-4900, 2024. doi: 10.2514/1.J064718.

• 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

• Chen, X.-H. and Tien, M.-H., "Method for Constructing a Compact Component Mode Synthesis Model for Analyzing Nonlinear Normal Modes of Structures With Localized Nonlinearities", In Proceedings ASME International Design Engineering Technical Conferences and Computers and Information in Engineering, Volume 11: 36th Conference on Mechanical Vibration and Sound (VIB), Washington, DC, August 25-28, 2024 (First place award in 2024 VIB Student Paper Competition).

• 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

• 郭宜翔、田孟軒。"Identifying Complex Damping Mechanisms in Mechanical Structures Using Sparse Identification and Nested Function Techniques"。中國機械工程學會第四十一屆全國學術研討會，國立高雄科技大學，高雄。2024年11月。(學生論文發表競賽第一名)

• 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.