摘要(英) |
The objective of this study is to optimize the isolation layer damping coefficient for basic seismic isolation structures and incorporate the Kanai-Tajimi filter to better account for the ground effects at various locations in Taiwan. The determination of parameters for the Kanai-Tajimi filter is based on Taiwan Seismic Design Code, ensuring that the ground acceleration generated by passing white noise through this filter matches the design response spectrum
specified in the seismic design code. Additionally, to ensure a more realistic analysis of the optimized design under seismic excitation, real earthquake records are also modified to match the design response spectra on different locations for time history analysis.The study focuses on the optimization of the isolation layer damping coefficient. The
damping coefficient is divided into an initial damping coefficient and a controlling damping coefficient. By rearranging the terms in equation of motion, the controlling damping force in the isolation layer can be treated as an active control force, transforming the optimization design
problem of the isolation layer damping coefficient into an optimization control problem of the active control gain matrix. Since this active control force is not full-state feedback, the study employs a direct output feedback method to find the optimal gain matrix. Traditionally, direct
output feedback methods require defining control force weightings, cause the quadratic performance index be influenced by these weightings. Therefore, the optimal value of the gain matrix is not the optimal damping coefficient of the isolation layer. However, when the control force weighting is zero, the gain matrix in direct output feedback is not easy to be solved. To figure out this problem, this study introduces a parameter iterative updating method that only requires selecting an appropriate control force weighting to obtain the gain matrix that includes the controlling damping coefficient. Following, the initial damping coefficient is updated iteratively until the gain matrix converges to zero, completing the optimization and obtaining the optimal design of the isolation layer damping force.
Finally, a multi-degree-of-freedom isolated system is established for the upper structure in Etabs. The floor parameters of the structure are therefore obtained and exported in matlab.Using the optimization method for the isolation layer damping coefficient mentioned above,
the study obtains the optimal damping coefficient for the isolation layer. Then, the optimized multi-degree-of-freedom isolated system is created in Etabs and subjected some ground accelerations. These ground accelerations contain the Kanai-Tajimi filter shaped white noise,the design response spectrum matched ground acceleration, and some notable real earthquake records. The time history analysis results confirm that the design of the optimal damping coefficient of the seismic isolation layer mentioned in this research has a good seismic isolation effect, which verify that the optimal damping ratio calculated by this optimization method is the best value to minimize the absolute acceleration response of the structure. |
參考文獻 |
[1] Housner G.W., ‘‘Characteristics of strong motion of earthquakes’’, Bulletin of the Seismogical Society of America, 37:19-31 (1947).
[2] Kanai K., ‘‘Semi-empirical formula for the seismic characteristics of the ground motion’’, Bulletin of the Earthquake Research Institute, 35:308-325 (1957).
[3] Tajimi H., ‘‘A statistical method of determining the maximum response of a building structure during an earthquake’’, Proceedings of the 2nd World Conference on Earthquake Engineering, 781-798.Tokyo, Japan (1960).
[4] Constantinou M.C. and Tadjbakhsh I.G., ‘‘Optimum characteristic of isolated structures”, Journal of Structural Engineering, ASCE, 111:2733-2750 (1985).
[5] Crandall S.H., and Mark W.D., Random Vibration in Mechanical Systems, Academic Press, New York (1963).
[6] Vanmarcke E.H. and Lai S.P., Strong Motion Duration of Earthquakes, Research Report R77-16, M.I.T., Department of Civil Engineering (1977).
[7] Hanks T.C., ‘‘ Values and Seismic Source Models: Implications for Tectonic Stress Variations Along Active Crystal Fault Zones and the Estimation of High-Frequency Strong Ground Motion”, Journal of Geophysical Research, 84, No. B5:2235-224 (1979).
[8] Lai S.P., Overall safety assessment of multistory steel buildings subjected to earthquake loads, Research Report R80-26, M.I.T., Department of Civil Engineering (1980).
[9] Inaudi J.A. and Kelly J.M., ‘‘Optimum damping in linear isolation systems’’, Earthquake Engineering & Structural Dynamics, 22:583-598 (1993).
[10] Vanmarcke E.H., Parameters of the spectral density function: their significance in the time and frequency domains, Research Report R70-58, M.I.T., Department of Civil Engineering (1970).
[11] Binder R., Strong motion Duration and Spectral Density Functons for a set of 39 Earthquake Ground Motions, internal study No.16, M.I.T., Department of Civil Engineering (1978).
[12] Lai S.P., “Statistical Characterization of Strong Ground Motions Using Power Spectral Density Function”, Bull. of the seismological society of America, 72, No.1:259-274 (1982).
[13] Moustafa A. and Takewaki I., “The use of probabilistic and deterministic measures to identify unfavorable earthquake records”, Journal of Zhejiang University, Science A,10(5):619-634 (2009).
[14]「地質資料整合系統」,經濟部中央地質調查所。
https://gis3.moeacgs.gov.tw/gwh/gsb97-1/sys8/t3/index1.cfm
[15] 「建築物耐震設計規範及解說」,內政部營建署,台內營字第1110810765號令 (2022)。
[16] Clough R.W. and Penzien J., Dynamics of Structures, 2nd edition, McGraw-Hill, New York (1993).
[17] Bai X.L. and Wu Z.Y. “Research on the parameter of response spectrum about Clough-Penzien model’’, Active and Passive Smart Structures and Integrated Systems, 79772E (2011).
[18] Deodatis G. “Non-stationary stochastic vector processes: Seismic ground motion applications’’, Probabilistic Engineering Mechanics, 11(3):149-167 (1996).
[19] Lai M.L. and Soong T.T. “Seismic design considerations for secondary structural systems”, J. Structural Engineering, ASCE,117:459-472 (1991).
[20] Kobori T. and Minai R. “Analytical study on active seismic response control” Trans. Architectural Inst. Japan, No.66:257-260 (1960).
[21] James T. P. Yao, “Concept of Structural Control” Journal of the Structural Division, 98:1567-1574 (1972).
[22] Doyle J.C., Glover K., Khargonekar P.P. and Francis B.A., “State-space solutions to standard and control problem”, IEEE Transactions on Automatic control, 34: 831-847 (1989).
[23] Spencer B.F., Suhardjo J. and Sain M.K., “Frequency domain optimal control strategies for aseismic protection”, Journal of Engineering Mechanics, 120:135-158 (1994).
[24] Chang C.M., Park K.S. Mullenix A and Spencer B.F. “Semiactive control strategy for a phase II smart base isolated benchmark building”, Journal of Structural Control and Health Monitoring,15:673-696 (2008).
[25] Chang C.M., Shia S. and Yang C.Y., “Use of active control algorithm for optimal design of base-isolated buildings against earthquakes”, Structural and Multidisciplinary Optimization, 58:613-626 (2018).
[26] Chang C.M., Shia S. and Yang C.Y. “Design of Buildings with Seismic Isolation Using Linear Quadratic Algorithm”, Procedia Engineering, 199:1610-1615 (2017).
[27] Nakamura Y., Saito T. and Tamura K., “A seismic isolated longspan overhanging urban infrastructure”, J. Disaster Res. 4(3):192-198 (2009).
[28] Sueoka T., Torii S. and Tsuneki Y. “The application of response control design using middlestory isolation system to high-rise building”, Proc., 13th World Conference on Earthquake Engineering, Paper No. 3457, Vancouver, B.C., Canada (2004).
[29] 張國鎮、黃震興、汪向榮、李柏翰、陳鴻文,「台灣大學土木系新建研究大樓中間層隔震元件試驗」,國家地震工程研究中心,報告編號:NCREE-08-042 (2008)。
[30] 「強震測站場址工程地質資料庫」,國家實驗研究院國家地震工程研究中心。
[31] 高培修,「黏滯型及摩擦型隔震系統消能參數之最佳化設計公式」,碩士論文,國立台灣大學土木工程學系 (2011)。
[32] 葉祥海、張國鎮、黃震興、蘇晴茂、甘錫瀅,「建築物隔震消能規範之示範計畫」,內政部營建署、內政部建築研究所 (1998)。
[33] 「鋼骨鋼筋混凝土構造設計規範及解說」,內政部營建署,台內營字第100080009號(2011)。
[34] 張淇閎,「以直接輸出回饋與參數更新迭代方法設計最佳化被動調諧質量阻尼器與多元調諧質量阻尼器」,碩士論文,國立中央大學土木工程學系 (2022)。 |