Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

Optimal parameters of rooftop pools as the structural control system

Document Type : Original Article

Authors
1 Professor, Faculty of Civil Engineering, University of Tabriz, Tabriz. Iran
2 Faculty of Civil Engineering, University of Tabriz, Tabriz. Iran
Abstract
Nowadays, due to the increase in requests to build tanks with different usage (such as water storage or amusement) on the rooftops of the structures, it is necessary to study their effect on the behavior of the structures. During the vibration of the structures under the earthquake excitation, the dissipation of the earthquake energy is provided by the movement of liquid waves inside the pools, the friction of the liquid with the walls of the pools, and the viscosity of the fluid. In such cases, control of the structural behavior is done passively. In passive control systems, it is important to set the optimal parameters of energy-damping systems to increase the efficiency of the structure control. In this research, the behavior of the pool was modeled using the Housner model, and according to the dimensions of the pool and the depth of the liquid, the optimal frequency and damping ratio of the control system were calculated using the pattern search optimization algorithm to reduce the acceleration response. The execution method of the pool on the rooftops of the structure is assumed on elastomeric pads. The obtained results illustrated that the optimal frequency ratio is close to 1 in most cases. As the liquid depth was considered larger, the sensitivity of the optimal parameters and the acceleration of the structure increased. By increasing the depth of the liquid and keeping its ratio to the dimension of the pool constant in the direction of vibration, the control performance of the pool was improved. Also, it was observed that in most cases, increasing the number of stories leads to a decrease in the optimal damping ratio of elastomeric pads.
Keywords

Subjects


[1] Greco, R., & Morga, M. (2019). Optimum design of tuned mass dampers for different earthquake ground motion parameters and models. The Structural Design of Tall and Special Buildings, 28(17), e1672.
[2] Modi, V. J., & Welt, F. (1988). Damping of wind induced oscillations through liquid sloshing. Journal of Wind Engineering and Industrial Aerodynamics, 30(1-3), 85-94.
[3] Tamura, Y., Fujii, K., Ohtsuki, T., Wakahara, T., & Kohsaka, R. (1995). Effectiveness of tuned liquid dampers under wind excitation. Engineering structures, 17(9), 609-621.
[4] Bandyopadhyay, R., Maiti, S., Ghosh, A., & Chatterjee, A. (2018). Overhead water tank shapes with depth‐independent sloshing frequencies for use as TLDs in buildings. Structural Control and Health Monitoring, 25(1), e2049.
[5] Banerji, P., Murudi, M., Shah, A. H., & Popplewell, N. (2000). Tuned liquid dampers for controlling earthquake response of structures. Earthquake engineering & structural dynamics, 29(5), 587-602.
[6] Yu, J. K., Wakahara, T., & Reed, D. A. (1999). A nonlinear numerical model of the tuned liquid damper. Earthquake Engineering & Structural Dynamics, 28(6), 671-686.
[7] Li, H. N., Jia, Y., & Wang, S. Y. (2004). Theoretical and experimental studies on reduction for multi-modal seismic responses of high-rise structures by tuned liquid dampers. Journal of Vibration and Control, 10(7), 1041-1056.
[8] Xu, X., Guo, T., Li, G., Sun, G., Shang, B., & Guan, Z. (2018). A combined system of tuned immersion mass and sloshing liquid for vibration suppression: Optimization and characterization. Journal of Fluids and Structures, 76, 396-410.
[9] Fu, L., Guo, T., & Li, G. (2018). Investigation on damping performance of new type oscillator-liquid combined damper. International Journal of Mechanical Sciences, 135, 53-62.
[10] Love, J. S., & Lee, C. S. (2019). Nonlinear series-type tuned mass damper-tuned sloshing damper for improved structural control. Journal of Vibration and Acoustics, 141(2), 021006.
[11] Love, J. S., McNamara, K. P., Tait, M. J., & Haskett, T. C. (2020). Series-type pendulum tuned mass damper-tuned sloshing damper. Journal of Vibration and Acoustics, 142(1), 011003.
[12] Love, J. S., & Tait, M. J. (2013). The influence of tank orientation angle on a 2D structure-tuned liquid damper system. Journal of Vibration and Acoustics, 135(1), 011010.
[13] Tait, M. J., & Deng, X. (2010). The performance of structuretuned liquid damper systems with different tank geometries. Structural Control and Health Monitoring: The Official Journal of the International Association for Structural Control and Monitoring and of the European Association for the Control of Structures, 17(3), 254-277.
[14] Ghosh, A., & Basu, B. (2004). Seismic vibration control of short period structures using the liquid column damper. Engineering Structures, 26(13), 1905-1913.
[15] Banerji, P., & Samanta, A. (2011). Earthquake vibration control of structures using hybrid mass liquid damper. Engineering structures, 33(4), 1291-1301.
[16] Pandey, D. K., Sharma, M. K., & Mishra, S. K. (2019). A compliant tuned liquid damper for controlling seismic vibration of short period structures. Mechanical Systems and Signal Processing, 132, 405-428.
[17] Housner, G. W. (1963). The dynamic behavior of water tanks. Bulletin of the seismological society of America, 53(2), 381-387.
[18] Pandey, D. K., Mishra, S. K., & Chakraborty, S. (2022). A tuned liquid mass damper implemented in a deep liquid storage tank for seismic vibration control of short period structures. The Structural Design of Tall and Special Buildings, 31(8), e1928.
[19] Haroun, M. A., & Housner, G. W. (1982). Dynamic characteristics of liquid storage tanks. Journal of the Engineering Mechanics Division, 108(5), 783-800.
[20] Hashemi, S., Saadatpour, M. M., & Kianoush, M. R. (2013). Dynamic analysis of flexible rectangular fluid containers subjected to horizontal ground motion. Earthquake engineering & structural dynamics, 42(11), 1637-1656.
[21] Hu, J., & Xu, J. (2020). Parameter Optimization and Control Characteristics Analysis of TLMD System Based on Phase Deviation. Journal of Shanghai Jiaotong University (Science), 25, 372-383.
[22] Sara, D. S., & Kumar Aswathy, S. Study on the Effect of Swimming Pool as Tuned Mass Damper. International Journal of Engineering Research & Technology (IJERT) ISSN, 2278-0181.
[23] Agrawal, A., & Wahane, A. (2020). Analysis of Elevated Swimming Pool with Different Positions on the Terrace of RCC Frames using STAAD Pro. IRJET e-ISSN2395-0056, p-ISSN, 2395-0072.
[24] Dattatray, B., Patil, G. R., & Maskar, S. (2014). Use of overhead water tank to reduce peak response of the structure. International Journal of Innovative Technology and Exploring Engineering, 4, 60-64.
[25] Hosseini, P., Hosseini, M., & Omranizadeh, S. M. (2019). The Effect of Height of Structure on the Accuracy of Nonlinear Static Analysis Methods in Steel Structures with Lead Rubber Bearing (LRB) Base Isolators. Civil Infrastructure Researches, 5(1), 35-49.
[26] Pandey, D. K., Sharma, M. K., & Mishra, S. K. (2019). A compliant tuned liquid damper for controlling seismic vibration of short period structures. Mechanical Systems and Signal Processing, 132, 405-428.
[27] Konar, T., & Ghosh, A. (2023). A review on various configurations of the passive tuned liquid damper. Journal of Vibration and Control, 29(9-10), 1945-1980.
[28] Li, Y., Di, Q., & Gong, Y. (2012). Equivalent mechanical models of sloshing fluid in arbitrarysection aqueducts. Earthquake engineering & structural dynamics, 41(6), 1069-1087.
[29] Zhang, D., & Johnson, E. A. (2009, June). Design of a VSDD brace control system for parameter estimation of shear structures. In 2009 American Control Conference (pp. 4575-4580). IEEE.
[30] Ferreira, F., Moutinho, C., Cunha, Á., & Caetano, E. (2018). Proposal of optimum tuning of semiactive TMDs used to reduce harmonic vibrations based on phase control strategy. Structural Control and Health Monitoring, 25(4), e2131.
[31] Pastia, C., & Luca, S. G. (2013). Vibration control of a frame structure using semi-active tuned mass damper. Buletinul Institutului Politehnic din lasi. Sectia Constructii, Arhitectura, 59(4), 31.

  • Receive Date 19 June 2024
  • Revise Date 06 September 2024
  • Accept Date 02 October 2024