HARMONİK ETKİ ALTINDAKİ ANA YAPILAR İÇİN OPTİMUM PASİF AYARLI KÜTLE SÖNÜMLEYİCİ SİSTEMLER

Yıl 2021, Cilt: 9 Sayı: 4, 1062 - 1071, 20.12.2021

Onur Araz

https://doi.org/10.21923/jesd.888880

Öz

Tek bir ayarlı kütle sönümleyicinin (AKS) etkinliğini ve sağlamlığını artırmak için, AKS’ler ana sisteme paralel ya da seri olarak bağlanırlar. Paralel bağlı AKS’lerden farklı olarak seri bağlı AKS’ler ana sisteme seri olarak bağlı iki farklı AKS’den meydana gelmektedir. Bu çalışmada seri ve paralel bağlı AKS'lerin optimum parametreleri benzetilmiş tavlama algoritması kullanılarak elde edilmiştir. Optimum parametrelerin elde edilmesinde ana sistemdeki yer değiştirmenin en aza indirilmesi amaçlanmıştır. Ayrıca, her iki AKS cihazının optimum tasarımı için kolayca kullanılabilen açık formüller, eğri uydurma tekniği kullanılarak türetilmiştir. Optimum seri bağlı AKS sisteminin kontrol performansı sayısal analizlerle doğrulanmış ve klasik AKS ve paralel bağlı AKS ile karşılaştırılmıştır.

Anahtar Kelimeler

Ayarlı Kütle Sönümleyici, Dinamik Davranış, Optimizasyon, Optimum Parametre, Benzetilmiş Tavlama

OPTIMUM PASSIVE TUNED MASS DAMPER SYSTEMS FOR MAIN STRUCTURES UNDER HARMONIC EXCITATION

Öz

To increase the effectiveness and robustness of a single Tuned mass damper (TMD), TMDs are connected in series or parallel to the main system. Unlike parallel TMDs (PTMD), series TMDs (STMD) consist of only two different TMD units, each of which is connected to the main structure in series. The optimum parameters of series and parallel TMDs are obtained by using the simulated annealing (SA) algorithm in this study. It is aimed to minimize the displacement in the main system in obtaining the optimum parameters. Also, the explicit formulas that can be easily used for the optimum design of both TMD devices are derived using the curve-fitting technique. The control performance of the optimum STMD device is confirmed through numerical analyses and compared with classical TMD and PTMD.

Anahtar Kelimeler

Tuned Mass Damper, Dynamic Response, Optimization, Optimum Parameter, Simulated Annealing

Kaynakça

• Asami, T., 2017. Optimal Design of Double-Mass Dynamic Vibration Absorbers Arranged in Series or in Parallel. J Vib Acoust, 139(1), 011015.
• Asami, T., Mizukawa, Y., Ise, T., 2018. Optimal Design of Double-Mass Dynamic Vibration Absorbers Minimizing the Mobility Transfer Function. J Vib Acoust, 140(6), 061012.
• Aydin, E., Ozturk, B., Bogdanovic, A., Farsangi, E.N., 2020. Influence of Soil-Structure Interaction (SSI) on Optimal Design of Passive Damping Devices. (2020). Structures, 28, 847-862.
• Bekdaş, G., Nigdeli, S.M., Yang, X.S., 2018. A Novel Bat Algorithm Based Optimum Tuning of Mass Dampers for Improving the Seismic Safety of Structures. Engineering Structures, 159, 89–98.
• Bakre, S.V., Jangid, R.S., 2004. Optimum Multiple Tuned Mass Dampers for Base-Excited Damped Main System. Int J Struct Stab Dyn, 4(4), 527–542.
• Cetin, H., Aydin, E., Ozturk, B., 2017. Optimal Damper Allocation in Shear Buildings with Tuned Mass Dampers and Viscous Dampers. International Journal of Earthquake and Impact Engineering, 2(2), 89-120.
• Cetin, H., Aydin, E., Ozturk, B., 2019. Optimal Design and Distribution of Viscous Dampers for Shear Building Structures under Seismic Excitations. Frontiers in Built Environment, 5, 90.
• Den Hartog, J.P., 1956. Mechanical Vibrations. Dover, New York.
• Fujino, Y., Abe, M., 1993. Design Formulas for Tuned Mass Dampers based on a Perturbation Technique. Earthquake Engineering and Structural Dynamics, 22, 833-854.
• Kim, S.Y., Lee, C.H., 2018. Optimum Design of Linear Multiple Tuned Mass Dampers Subjected to White Noise Base Acceleration Considering Practical Configurations. Eng Struct, 171, 516-528, 2018.
• Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P., 1983. Optimization by Simulated Annealing. Science, 220(4598), 671-680.
• Leung, A.Y.T., Zhang, H., Cheng, C.C., Lee, Y.Y., 2008. Particle Swarm Optimization of TMD by Non-Stationary Base Excitation During Earthquake. Earthquake Engineering and Structural Dynamics, 37(9), 1223–1246.
• Li, C., Zhu, B., 2006. Estimating Double Tuned Mass Dampers for Structures under Ground Acceleration using a Novel Optimum Criterion. J Sound Vib, 298, 280-297.
• Li, H.N., Ni, X.L., 2007. Optimization of Non-Uniformly Distributed Multiple Tuned Mass Damper. J Sound Vib, 308, 80-97.
• Matta, E., 2013. Effectiveness of Tuned Mass Dampers against Ground Motion Pulses. Journal of Structural Engineering, 1339(2), 188–198.
• Mohebbi, M., Rasouli, H., Moradpour, S., 2015. Assessment of the design criteria effect on performance of multiple tuned mass dampers. Adv Struct Eng, 18(8), 1141-1158.
• Rana, R., Soong, T.T., 1998. Parametric Study and Simplified Design of Tuned Mass Dampers. Engineering Structures, 20(3), 193–204.
• Rao, S.S., 2009. Engineering Optimization: Theory and Practice. Wiley, New Jersey.
• Salvi J., Rizzi, E., 2016. Closed-Form Optimum Tuning Formulas for Passive Tuned Mass Dampers under Benchmark Excitations. Smart Structures and Systems, 17(2), 231–256.
• Xu K., Igusa, T., 1992. Dynamic Characteristics of Multiple Substructures with Closely Spaced Frequencies. Earth. Eng Struct Dyn, 21(12), 1059-1070.
• Zuo, L., 2009. Effective and Robust Vibration Control using Series Multiple Tuned-Mass Dampers. J Vib Acoust, 131, 031003.