Динамическая реакция линейной системы с несколькими степенями свободы
Автор: Абаев З., Валиев А., Кодзаев М., Гурбанов Р.
Журнал: Строительство уникальных зданий и сооружений @unistroy
Статья в выпуске: 2 (111), 2024 года.
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Объектом исследования является 5-этажное железобетонное каркасное здание, представленное в виде линейной системы с несколькими степенями свободы (MDOF-система). Целью данной работы является исследование динамического отклика MDOF-системы с использованием динамического анализа и упрощенной модально-спектральной процедуры.
Структурная динамика, динамическая реакция, сейсмический анализ, система с несколькими степенями свободы
Короткий адрес: https://sciup.org/143182734
IDR: 143182734 | DOI: 10.4123/CUBS.111.4
Список литературы Динамическая реакция линейной системы с несколькими степенями свободы
- Ambrożkiewicz, B., Litak, G., Georgiadis, A., Meier, N. and Gassner, A. (2021) Analysis of Dynamic Response of a Two Degrees of Freedom (2-DOF) Ball Bearing Nonlinear Model. Applied Sciences, 11, 787. https://doi.org/10.3390/app11020787.
- Yonghao, J. and Xiulong, C. (2021) Dynamic Response Analysis for Multi-Degrees-of-Freedom Parallel Mechanisms with Various Types of Three-Dimensional Clearance Joints. International Journal of Advanced Robotic Systems, 18, 172988142110177. https://doi.org/10.1177/17298814211017716.
- Marino, L. and Cicirello, A. (2021) Dynamic Response of Multi-Degree-of-Freedom Systems with a Coulomb Friction Contact under Harmonic Excitation. Nonlinear Dynamics, 106, 1675–1709. https://doi.org/10.1007/s11071-021-06966-3.
- Qi, S. and Kaiyin, Z. (2023) Study on Resonance of Multi-Degree-of-Freedom Structure Based on Modal Orthogonal Basis. Journal of Low Frequency Noise, Vibration and Active Control, 14613484231219575. https://doi.org/10.1177/14613484231219575.
- Shi, B., Yang, J. and Wang, J. (2023) Forced Vibration Analysis of Multi-Degree-of-Freedom Nonlinear Systems with the Extended Galerkin Method. Mechanics of Advanced Materials and Structures, 30, 794–802. https://doi.org/10.1080/15376494.2021.2023922.
- Chopra, A.K. (2017) Dynamics of Structures: Theory and Applications to Earthquake Engineering. Fifth edition., Pearson, Hoboken, NJ. https://www.pearson.com/en-us/subject-catalog/p/dynamics-of-structures-theory-and-applications-to-earthquake-engineering/P200000003487/9780134555126.
- Abaev, Z.K., Kodzaev, M.Yu. and Bigulaev, A.A. (2020) Earthquake Resistance Analysis of Structural Systems of Multi-Storey Civil Buildings. Structural Mechanics of Engineering Constructions and Buildings, 16, 76–82. https://doi.org/10.22363/1815-5235-2020-16-1-76-82.
- Abaev, Z.K. and Sulthan, F. (2024) Seismic Performance Evaluation of Multi-Storey Residential Building with Friction Pendulum Bearings: Indonesia Case Study. Structural Mechanics of Engineering Constructions and Buildings, 20, 57–72. https://doi.org/10.22363/1815-5235-2024-20-1-57-72.
- Amer, T.S., Bek, M.A., Hassan, S.S. and Elbendary, S. (2021) The Stability Analysis for the Motion of a Nonlinear Damped Vibrating Dynamical System with Three-Degrees-of-Freedom. Results in Physics, Elsevier, 28, 104561. https://doi.org/10.1016/j.rinp.2021.104561.
- Wang, J., Zhang, J., Yao, Z., Yang, X., Sun, R. and Zhao, Y. (2019) Nonlinear Characteristics of a Multi-Degree-of-Freedom Spur Gear System with Bending-Torsional Coupling Vibration. Mechanical Systems and Signal Processing, Elsevier, 121, 810–827. https://doi.org/10.1016/j.ymssp.2018.12.002.
- Scutaru, M.L., Vlase, S., Marin, M. and Modrea, A. (2020) New Analytical Method Based on Dynamic Response of Planar Mechanical Elastic Systems. Boundary Value Problems, SpringerOpen, 2020, 1–16. https://doi.org/10.1186/s13661-020-01401-9.
- Sun, T., Kurama, Y.C., Zhang, P. and Ou, J. (2018) Linear‐elastic Lateral Load Analysis and Seismic Design of Pin‐supported Wall‐frame Structures with Yielding Dampers. Earthquake Engineering & Structural Dynamics, Wiley Online Library, 47, 988–1013. https://doi.org/10.1002/eqe.3002.
- Abaev, Z., Valiev, A. and Kodzaev, M. (2023) Development of recommendations for the implementation of seismic risk mitigation policy in the Russian Federation based on world experience. Earthquake Engineering. Construction Safety. https://doi.org/10.37153/2618-9283-2023-3-48-72.
- Baltzopoulos, G., Baraschino, R., Iervolino, I. and Vamvatsikos, D. (2018) Dynamic Analysis of Single-Degree-of-Freedom Systems (DYANAS): A Graphical User Interface for OpenSees. Engineering Structures, Elsevier, 177, 395–408. https://doi.org/10.1016/j.engstruct.2018.09.078.
- Powell, G. (2006) Nonlinear Dynamic Analysis Capabilities and Limitations. The Structural Design of Tall and Special Buildings, 15, 547–552. https://doi.org/10.1002/tal.381.
- Cuadri, A.A., Gallego, R., Martín‐Alfonso, M.J., Delgado‐Sánchez, C., Cortés‐Triviño, E., Tenorio‐Alfonso, A., Borrero‐López, A.M. and Ortega, F.J. (2022) A Mathcad‐based Educational Experience to Address the Design of Nonisothermal Plug Flow Reactors. Computer Applications in Engineering Education, 30, 1145–1160. https://doi.org/10.1002/cae.22509.
- Charney, F.A. (2008) A Transformational Approach to Teaching Matrix Structural Analysis, and Visual Implementation Using Mathcad. Structures Congress 2008, American Society of Civil Engineers, Vancouver, British Columbia, Canada, 1–17. https://doi.org/10.1061/41000(315)9.
- Cuadri, A.A., Martín‐Alfonso, J.E. and Urbano, J. (2020) Using Mathcad to Facilitate the Design of Chemical Reactors Involving Multiple Reactions. Computer Applications in Engineering Education, 28, 293–303. https://doi.org/10.1002/cae.22192.
- Tarasov, V.A., Baranovskiy, M.Yu., Duvanova, I.A., Salmanov, I.D. and Pavluskina, Yu.Y. Single degree of freedom frame structure movements. Construction of Unique Buildings and Structures, 10, 53–80. https://doi.org/10.18720/CUBS.37.5.
- Romani, G.P. (2020) Multiple Degrees of Freedom Structural Dynamics with MATHCAD (Examples). 39. https://community.ptc.com/sejnu66972/attachments/sejnu66972/PTCMathcad/198763/1/MDOF_Dynamics_Mathcad.pdf.
- Caterino, N., Cosenza, E. and Azmoodeh, B.M. (2013) Approximate Methods to Evaluate Storey Stiffness and Interstory Drift of RC Buildings in Seismic Area. Structural Engineering and Mechanics, 46, 245–267. https://doi.org/10.12989/SEM.2013.46.2.245.
- Eroğlu, T. and Akkar, S. (2011) Lateral Stiffness Estimation in Frames and Its Implementation to Continuum Models for Linear and Nonlinear Static Analysis. Bulletin of Earthquake Engineering, 9, 1097–1114. https://doi.org/10.1007/s10518-010-9229-z.
- Schultz, A.E. (1992) Approximating Lateral Stiffness of Stories in Elastic Frames. Journal of Structural Engineering, American Society of Civil Engineers, 118, 243–263. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:1(243).
- Lindfield, G. and Penny, J. (2019) Numerical Methods: Using MATLAB. Fourth edition., Elsevier, Academic Press, London San Diego, CA Cambridge, MA Oxford. https://doi.org/10.1016/C2016-0-00395-9.
- Paz, M. and Kim, Y.H. (2019) Structural Dynamics: Theory and Computation. Springer International Publishing, Cham. https://doi.org/10.1007/978-3-319-94743-3.