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研究生: 王欣悅
Urga, Ratu
論文名稱: 壓縮機引致結構振動分析與基座動態響應檢核:剛性連桿模型與箱體模型之比較
Vibration Analysis and Dynamic Response Assessment of a Compressor-Supporting Structure: Comparison between Rigid-Link and Steel Box Models
指導教授: 賴啟銘
Lai, Chi-Ming
共同指導: 張惠雲
Chang, Heui-Yun
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2026
畢業學年度: 114
語文別: 英文
論文頁數: 195
中文關鍵詞: 振動分析動態反應剛性連桿鋼箱模型支撐結構MIDAS GEN有限元素分析
外文關鍵詞: vibration analysis, dynamic response, rigid-link, steel box model, supporting structure, MIDAS GEN, finite element analysis
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  • 本研究探討簡化壓縮機–基礎系統中,剛性連桿模型與鋼箱模型之比較反應。為評估不同建模假設對靜態與動態行為預測結果之影響,本研究採用兩種建模方法來模擬壓縮機系統。分析中考慮四個旋轉構件作為不平衡激振來源,包括馬達、牛齒輪、高速端(HS)與低速端(LS)構件。數值分析使用 MIDAS GEN 進行,並依據 ACI 318-19、ACI 351.3R-18 及 ISO/DIS 20816-3 之建議評估結構與振動反應。分析結果顯示,兩種建模方法皆滿足 ACI 318-19 之靜態強度要求,包括抗彎強度、單向剪力、沖切剪力、土壤承載壓力與沉陷評估。動態評估結果亦顯示,兩種模型皆符合振動接受標準,其中機器位置之局部位移反應維持在可接受範圍內,基礎位移非常小,且計算所得之速度反應皆落於 ISO 評估之可接受振動範圍內。整體而言,剛性連桿模型因其理想化剛性連接特性,通常預測出較低的反應振幅;而鋼箱模型則能反映壓縮機–基礎介面處有限的柔性,並在部分案例中產生稍高的反應。儘管兩種模型之間存在些微差異,結果皆確認在本研究所考慮的載重條件下,簡化壓縮機–基礎系統於結構安全性與動態反應方面皆屬可接受。

    This study investigates the comparative response of rigid-link and steel box models for a simplified compressor–foundation system. The compressor was represented using two modeling approaches to evaluate the influence of modeling assumptions on the predicted static and dynamic behavior. Four rotating components, including the motor, bull gear, high-speed (HS), and low-speed (LS) components, were considered as sources of unbalance excitation. The analysis was conducted using MIDAS GEN, and the structural and vibration responses were assessed based on ACI 318-19, ACI 351.3R-18, and ISO/DIS 20816-3 recommendations. The results show that both modeling approaches satisfied the preliminary ACI 318-19-based static strength checks, including flexural strength, one-way shear, punching shear, soil bearing pressure, and settlement evaluation. The dynamic assessment also showed that both models satisfied the vibration acceptance criteria, with local displacement responses remaining within the acceptable range, foundation displacement remaining very small, and calculated velocity responses remaining within the acceptable range of the ISO-based vibration severity assessment. The rigid-link model generally produced lower response amplitudes due to its idealized rigid connection, while the steel box model captured limited flexibility at the compressor–foundation interface and produced slightly higher responses in some cases. Although slight differences were observed between the two models, both confirmed that the simplified compressor–foundation system is structurally adequate and dynamically acceptable within the assumptions and limitations of this study.

    ABSTRACT II ACKNOWLEDGMENT III TABLE OF CONTENTS V LIST OF TABLES VIII LIST OF FIGURES IX LIST OF SYMBOLS XI CHAPTER I INTRODUCTION 1 1.1 Background 1 1.2 Problem Statement 3 1.3 Research Objectives 4 1.4 Scope of Study 5 1.5 Limitations of Study 6 CHAPTER II LITERATURE REVIEW 7 2.1 Introduction to Machine Foundations 7 2.2 Dynamic Loads in Machine Foundations 8 2.3 Vibration Theory and Dynamic Response 10 2.4 Structural Verification Based on ACI 318-19 12 2.4.1 Flexural Strength 13 2.4.2 Punching Shear Strength 14 2.4.3 Soil Bearing Pressure and Settlement 16 2.5 Resonance and Frequency Separation 17 2.6 Design Guidelines Based on ACI 351.3R-18 19 2.7 Vibration Evaluation Based on ISO 20816-3 23 2.8 Modeling Approaches for Machine–Structure Systems 26 2.9 Machine–Structure Interaction 28 2.10 Soil–Structure Interaction 30 CHAPTER III METHODOLOGY 32 3.1 Main Building Model 32 3.1.1 Structural Member Sections 34 3.1.2 Foundation and Soil Spring Modeling 35 3.1.3 Slab Configuration and Mesh Generation 38 3.1.4 Structural Dynamic Properties 39 3.1.5 Material Properties and Section Assumptions 40 3.1.6 Structural Layout and Modeling Assumptions 41 3.2 Preliminary Structural and Geotechnical Verification Procedure 41 3.2.1 Flexural Strength Evaluation 43 3.2.2 One-Way Shear Evaluation 44 3.2.3 Punching Shear Evaluation 45 3.2.4 Soil Bearing Pressure and Settlement Evaluation 46 3.3 Comparison of Compressor Modeling Approaches 48 3.3.1 Model 1: Rigid-Link Model 50 3.3.2 Model 2: Rectangular Steel Box Model 52 3.4 Loading Conditions 56 3.4.1 Machine Operating Conditions 57 3.4.2 Unbalance Force Calculation Based on ACI 351.3R-18 58 3.4.3 Design Loads and Load Combination 61 3.5 Analysis Method 62 3.5.1 Modeling and Analysis Settings 62 3.5.2 Modal Analysis 63 3.5.3 Time History Analysis 64 3.5.4 Dynamic Load Implementation 66 3.6 Evaluation Criteria for Structural and Vibration Performance 67 3.6.1 Structural Strength Criteria Based on ACI 318-19 68 3.6.2 Geotechnical Evaluation Criteria 69 3.6.3 Vibration Displacement Criteria Based on ACI 351.3R-18 70 3.6.4 Velocity Criteria Based on ISO 20816-3 72 CHAPTER IV RESULTS AND DISCUSSION 75 4.1 Preliminary Structural and Geotechnical Verification 75 4.1.1 Flexural Verification 76 4.1.2 One-Way Shear Verification 80 4.1.3 Punching Shear Verification 84 4.1.4 Soil Bearing Pressure and Settlement Evaluation 86 4.2 Modal Analysis Results 88 4.2.1 Mass Participation Ratio and Natural Frequency 88 4.3 Time History Analysis Results 95 4.3.1 Global Displacement Response 96 4.3.2 Local Displacement at Machine Location 109 4.3.3 Slab Displacement Response 113 4.3.4 Velocity Response 120 4.4 Comparison of Modeling Approaches 125 4.5 Evaluation Based on ACI and ISO 126 4.5.1 Local Displacement Assessment Based on ACI and Blake Criteria 128 4.5.2 Local Displacement Assessment Based on ACI and Reiher-Meister Criteria 131 4.5.3 Vibration Assessment Based on ISO 20816-3 134 CHAPTER V CONCLUSION AND FUTURE WORK 136 5.1 Conclusion 136 5.2 Future Work 140 REFERENCES 143 APPENDIX 148

    Adam, V., Schmidt, M., & Hegger, J. (2023). One-way flexural shear tests on wide reinforced concrete slab segments with simple and intermediate supports. Structural Concrete, 24(2), 2911-2929.
    Al-Dala'ien, R. N., Syamsir, A., Abu Bakar, M. S., Usman, F., & Abdullah, M. J. (2024). Effect of the stirrup shear reinforcement on the dynamic behavior and failure modes of two-way reinforced concrete slab subjected to the low-velocity impact loading. Arabian Journal for Science and Engineering, 49, 5599-5624.
    Alzabeebee, S., & Keawsawasvong, S. (2024). Dynamic response of a machine foundation using different soil constitutive models. Transportation Infrastructure Geotechnology, 11, 426-445.
    American Concrete Institute Committee 318. (2019). ACI CODE-318-19: Building code requirements for structural concrete and commentary. American Concrete Institute. Reapproved 2022.
    American Concrete Institute. (2018). Report on foundations for dynamic equipment (ACI 351.3R-18). American Concrete Institute.
    American National Standards Institute. (1999). Mechanical vibration—Balance quality requirements for rotors in a constant (rigid) state (ANSI S2.19-1999). ANSI.
    Bagiński, P., & Żywica, G. (2016). Analysis of dynamic compliance of the supporting structure for the prototype of organic Rankine cycle micro-turbine with a capacity of 100 kWe. Journal of Vibroengineering, 18, 3153-3163.
    Baban, A.B., Abrahamczyk, L., Staubach, P., & Wichtmann, T. (2025). Advanced modeling of nonlinear soil–structure interaction using a clay hypoplasticity constitutive model. Results in Engineering, 28, 107954.
    Bei, J.-L., Li, G.-Q., Cao, K., & Zhang, J.-Z. (2025). Collapse resistance of steel modular buildings using a simplified inter-module joint model. Journal of Constructional Steel Research, 235, 109842.
    Bergamo, E., Fasan, M., & Bedon, C. (2020). Efficiency of Coupled Experimental–Numerical Predictive Analyses for Inter-Story Floors Under Non-Isolated Machine-Induced Vibrations. Actuators.
    Bowles, J.E. (1996) Foundation Analysis and Design. 5th Edition, The McGraw-Hill Companies, Inc., New York.
    Budhu, M. 2010. Soil mechanics and foundations. 3rd ed. Hoboken, NJ: Wiley.
    Choudhury, T., Viitala, R., Kurvinen, E., Viitala, R., & Sopanen, J. T. (2020). Unbalance Estimation for a Large Flexible Rotor Using Force and Displacement Minimization. Machines.
    Chu, T., Nguyen, T., Yoo, H., & Wang, J. (2024). A review of vibration analysis and its applications. Heliyon, 10(5), e26282.
    Diaz-Gutierrez, P., & Gopi, M. (2005). Quadrilateral and tetrahedral mesh stripification using 2-factor partitioning of the dual graph. The Visual Computer, 21(8-10), 689-697.
    Dunaj, P., & Archenti, A. (2024). Modeling the dynamic interaction between machine tools and their foundations. Precision Engineering.
    Fattah, M. Y., Hamood, M. J., & Al-Naqdi, I. A. A. (2015). Finite-element analysis of a piled machine foundation. Proceedings of the Institution of Civil Engineers - Structures and Buildings, 168(6), 421-432.
    Lu C., Meng J., Zhang S., Shi Y., Dai K., and Huang Z., “Damping Ratios of Reinforced Concrete Structures Under Actual Ground Motion Excitations,” in Dynamics of Civil Structures, Volume 2, S. Pakzad, Ed., Cham, Switzerland: Springer, 2020.
    F. E. Richart, J. R. Hall, and R. D. Woods, Vibrations of Soils and Foundations. Englewood Cliffs, NJ, USA: Prentice-Hall, 1970.
    Fredlund, D. G., H. Rahardjo, and M. D. Fredlund. 2012. Unsaturated soil mechanics in engineering practice. New York: Wiley.
    Gazetas, G. (1991). Foundation vibrations. In Foundation Engineering Handbook.
    Giorgetti, S., Giorgetti, A., Tavafoghi Jahromi, R., & Arcidiacono, G. (2021). Machinery Foundations Dynamical Analysis: A Case Study on Reciprocating Compressor Foundation. Machines.
    Heo, J. C., & Yoon, G. H. (2013). Size and configuration syntheses of rigid-link mechanisms with multiple rotary actuators using the constraint force design method. Mechanism and Machine Theory, 64, 18-38.
    IHI-Sullair. (n.d.). f-Series Centrifugal compressors. Retrieved May 5, 2026, from https://www.ihi-sullair.cn/index.php/en/en-home/33-en-products/en-series-f/48-en-product-f
    International Organization for Standardization. (2026). ISO/DIS 20816-3: Mechanical vibration - Measurement and evaluation of machine vibration - Part 3: Industrial machines with operating speeds between 120 r/min and 30 000 r/min. https://www.iso.org/standard/89922.html
    Jiang, X., Bai, T., Du, P., & Huang, Z. (2026). Nonlinear dynamic behavior and fault diagnosis of rotor-bearing systems subjected to multi-source load unbalance in bulb-type turbine-generator units. Adv. Eng. Softw., 213, 104068.
    Karim, H. H., Samueel, Z. W., & Hussein, M. A. (2020). Investigation of the behavior of shallow machine foundation resting on a saturated layered sandy soil subjected to a dynamic load. IOP Conference Series: Materials Science and Engineering, 888, 012055.
    Khaled, M., & Gomaa, S. M. M. H. (2021). Effect of Rigid Links Young’s Modulus on Turbo Generator Foundation FE Dynamic Analysis. International Research Journal of Innovations in Engineering and Technology.
    Klotsche, K., Micus, F., Thomas, C., Hesse, U. (2019). Waste heat recovery for reciprocating compressors. IOP Conference Series: Materials Science and Engineering, 604, 012085.
    Ko, D.-H., & Boo, S.-H. (2022). Efficient Structural Dynamic Analysis Using Condensed Finite Element Matrices and Its Application to a Stiffened Plate. Journal of Marine Science and Engineering.
    Lawson, H. S., Holló, G., Horváth, R., Kitahata, H., & Lagzi, I. (2020). Chemical Resonance, Beats, and Frequency Locking in Forced Chemical Oscillatory Systems. The Journal of Physical Chemistry Letters, 11, 3014 - 3019.
    Li, S., Zhang, L., Liang, Z., & Kong, C. (2021). Experimental and numerical analysis for vibration identification and mitigation of a coalescer system. Engineering Failure Analysis, 120, 105040.
    Liang, S., Yang, T., & Yang, Z. (2026). Disturbance observer-based time-domain dynamic load identification. Structures.
    Lu, Y., Zhi, R., Chen, F., Lei, B., Guo, Y., & Wu, Y. (2023). Experimental research on the performance of high-pressure single screw compressor for portable natural gas liquefaction system. Applied Thermal Engineering, 233, 121149.
    Madan, C. S., Munuswamy, S., Joanna, P. S., Gurupatham, B. G. A., & Roy, K. (2022). Comparison of the flexural behavior of high-volume fly ashbased concrete slab reinforced with GFRP bars and steel bars. Journal of Composites Science, 6(6), 157.
    Mohammadgholibeyki, N., & Banazadeh, M. (2018). The Effects of Viscous Damping Modeling Methods on Seismic Performance of RC Moment Frames Using Different Nonlinear Formulations. Structures.
    NIST. (2012). Soil-Structure Interaction for Building Structures. NIST GCR 12-917-21.
    Polat, E., & Göçmen Polat, E. (2025). Spring-Based Soil–Structure Interaction Modeling of Pile–Abutment Joints in Short-Span Integral Abutment Bridges with LR and RSM. Buildings.
    Rajkumar, K., Ayothiraman, R., & Matsagar, V. A. (2021). Effects of soil-structure interaction on torsionally coupled base isolated machine foundation under earthquake load. Shock and Vibration, 2021, Article 6686646.
    Rajasekhar, M. N., & Srinivas, J. (2014). Investigation of Transient Response of an Unbalanced Aero-Engine Rotor with Semi-Active Damper System. International journal of engineering research and technology, 3.
    Sagaseta, J., Olmati, P., Micallef, K., & Cormie, D. (2017). Punching shear failure in blast-loaded RC slabs and panels. Engineering Structures, 147, 177-194.
    Susila, E., Ary, W. R., Sahadewa, A., Putri, K. M. E., Zulkifli, E., & Sadono, K. W. (2024). Dynamics responses of a block machine foundation and a pile group foundation systems on stratified residual soils in Indonesia by lumped mass and finite element methods. Journal of Engineering and Technological Sciences, 56(2), 244-265.
    Szołomicki, J., Dmochowski, G., & Roskosz, M. (2023). Dynamic Diagnostic Tests and Numerical Analysis of the Foundations for Turbine Sets. Materials, 16.
    Tehrani, S. A. H., Zanganeh, A., Andersson, A., & Battini, J.-M. (2024). Simplified soil–structure interaction modeling techniques for the dynamic assessment of end shield bridges. Engineering Structures.
    Tian, Y., Liu, Z., Xu, X., Wang, G., Li, Q., Zhou, Y., & Cheng, J. (2019). Systematic review of research relating to heavy-duty machine tool foundation systems. Advances in Mechanical Engineering, 11.
    Umesh U. R. and Divyashree D. M., A Comparative Study on the Sensitivity of Mat Foundation to Soil Structure Interaction,” International Research Journal of Engineering and Technology (IRJET), vol. 5, no. 4, Apr. 2018.
    Uzodimma, U., Ifeanyi Josephat, O., & Mezie, E. (2020). Effect of soil compressibility on the structural response of box culverts using finite element approach. Nigerian Journal of Technology, 39, 42-51.
    Wang, J., Li, H., & Xing, H. (2022). A lumped mass Chebyshev spectral element method and its application to structural dynamic problems. Earthquake Engineering and Engineering Vibration, 21, 843-859.
    Wiyono, D. R., Milyardi, R., Pranata, Y. A., & Tallar, R. Y. (2021). The Effect of Seismic Masses in Calculation of a 17 Multi-story Concrete Structure. Proceedings of the 1st International Conference on Emerging Issues in Technology, Engineering and Science.
    Wu, C.-s., Yang, J., Yang, S., Wu, P., Huang, B., & Wu, D. (2023). A Review of Fluid-Induced Excitations in Centrifugal Pumps. Mathematics.
    Xia, Y., Ren, X., Qin, W., Yang, Y., Lu, K., & Fu, C. (2020). Investigation on the transient response of a speed-varying rotor with sudden unbalance and its application in the unbalance identification. Journal of Low Frequency Noise, Vibration and Active Control, 39(4), 1065-1086.
    Yarar, E., Makaracı, M., Yılmaz, Ş., Apsar, Ö., & Kan, E. (2025). Structural design optimization and vibration assessment of a base frame for a 3 MW turbo compressor. Sound & Vibration, 59(1), Article 2156.

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