Investigation of Rheological and Geometric Properties Effect on Nonlinear Behaviour of Fluid Viscous Dampers

Document Type : Regular Article


EOLE, Civil Engineering Department/, University of Tlemcen, Tlemcen, BP 230 13000, Algeria



Global approval of the use of fluid viscous dampers to control the buildings response against dynamic loadings is growing. The idea behind incorporating additional dampers is that they will reduce most of the energy that is transmitted to the building during shaking event. The objective of this work is to identify and enhance the design parameters that control the nonlinear behaviour of fluid viscous damper subjected to sinusoidal excitation. For this, a numerical model of the flow inside the dissipater has been carried out based on finite volume method. A novel approach has been adopted to simulate elastic behaviour of the fluid, taking into account its compressibility by using the Murnaghan equation of state. A comparison between the calculations of the proposed model and the experimental tests was carried out. The model proved to be sufficiently accurate. A fluid flow analysis was then conducted to fully understand the internal mechanism of the damper. A parametric study was then performed by varying aspects such as dimensions, geometric relationships between components and fluid properties in order to better understand their effect on the non-linear behaviour of the device.  The results highlight the relationship between the parameters governing the shear thinning behaviour of the fluid and the non-linearity exponent of the damper. This makes it possible to better control the non-linear behaviour of the device by selecting the appropriate silicone oil and the appropriate geometric dimensions of its components.


Main Subjects

Cameron, B., & Makris, N. (2005). Viscous heating of fluid dampers under wind and seismic loading: experimental studies, mathematical modeling and design formulae. Earthquake Engineering Research Center Rep. _o. EERC 2006-01.
Carreau, P. J. (1972). Rheological equations from molecular network theories. Transactions of the Society of Rheology, 16(1), 99–128.
Clearco, Products (2023a). Rhealogical behavior of silicone fluids under shear. Bensalem, PA, United States.##
Clearco, Products (2023b). Compressibility at high pressures of various clearco silicone fluids. Bensalem, PA, United States.##
De Domenico, D., & Hajirasouliha, I. (2021). Multi-level performance-based design optimisation of steel frames with nonlinear viscous dampers. Bulletin of Earthquake Engineering, 19(12), 5015–5049. https://doi:10.1007/s10518-021-01152-7.##
Dong, B., Sause, R., & Ricles, J. M. (2022). Modeling of nonlinear viscous damper response for analysis and design of earthquake-resistant building structures. Bulletin of Earthquake Engineering, 20, 1841–1864.
Frings, C., & De LA Liera, J. C., (2011, July). Multiphysics modeling experimental behaviour of viscous damper. 8th International Conference on Structural Dynamics, EURODYN2011, 4-6 Leuven, Belgium.##
Hatada, T., Kobori, T., Ishida, M., & Niwa N. (2000). Dynamic analysis of structures with Maxwell model. Earthquake Engineering & Structural Dynamics, 29(2), 159–176.<159::AID-EQE895>3.0.CO;2-1.##
Hou, C. Y., Hsu, D. S., Lee, Y. F., Chen, H. Y., & Lee, J. D. (2007). Shear thinning effects in annular orifice viscous fluid dampers. Journal of the Chinese Institute of Engineers, 30(2), 275-287.
Hou, C. Y. (2011). Behaviour explanation and a new model for nonlinear viscous fluid dampers with a simple annular orifice. Archive of Applied Mechanics, 82(1), 1–12.
Jiao, S., Tian, J., Zheng, H., & Hua, H. (2016). Modeling of a hydraulic damper with shear thinning fluid for damping mechanism analysis. Journal of Vibration and Control, 23(20), 3365–3376.
Jiao, X., Zhao, Y., & Ma, W. (2018). Nonlinear dynamic characteristics of a micro-vibration fluid viscous damper. Nonlinear Dynamics, 92(3), 1167–1184.
Kanani, K. M., O’Neill, L. B. W., Paneroa, R., Sang-Heon Shima, L., Benedettib, R., & Jeanloza, R. (2004). Equations of state of the high-pressure phases of a natural peridotite and implications for the Earth’s lower mantle. Earth and Planetary Science Letters 223, 381 – 393.
Konstantinidis, D., Makris, N., & Kelly, J. M. (2015). In-situ condition assessment of seismic fluid dampers: Experimental studies and challenges. Meccanica 50(2), 323–340.
Kumar, K. A., Ramana Reddy, J. V., Sugunamma, V., & Sandeep, N. (2016). dual solutions for thermo diffusion and diffusion thermo effects on 3D MHD casson fluid flow over a stretching surface. Research Journal of Pharmacy and Technology, 8 (9), 435-443. ISSN 0974-360X, https://doi/10.5958/0974-360X.2016.00227.4.##
Kumar, K. A, Sugunamma, V., & Sandeep, N. (2018a). Impact of non-linear radiation on MHD non-aligned stagnation point flow of micropolar fluid over a convective surface. Journal of Non-Equilibrium Thermodynamics, 43(4), 327-345.
Kumar, K. A., Sugunamma, V., & Sandeep, N. (2020). Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet. Journal of Thermal Analysis and Calorimetry 140, 2377–2385.
Kumar, K. A., Sugunamma, V., & Sandeep, N. (2019). Simultaneous solutions for first order and second order slips on micropolar fluid flow across a convective surface in the presence of Lorentz force and variable heat source/sink. Scientific Report 9, 14706.
Kumar, K. A., Venkata Ramudu, A. C., Sugunamma, V., & Sandeep, N. (2022a). Effect of non-linear thermal radiation on MHD Casson fluid flow past a stretching surface with chemical reaction. International Journal of Ambient Energy, 43(1), 8400-8407,
Kumar, K. A., Ramana Reddy, J. V., Sugunamma, V., & Sandeep, N. (2018b). Magnetohydrodynamic Cattaneo-Christov flow past a cone and a wedge with variable heat source/sink. Alexandria Engineering Journal, (57), 1, 435-443, ISSN 1110-0168,
Kumar, K. A., Sugunamma. V., & Sandeep, N. (2022b). Influence of variable viscosity on 3-D MHD radiative cross nanofluid flow over a biface region. Waves in Random and Complex Media. https://doi: 10.1080/17455030.2022.2104953##
Li, Z. Q., Xu, Y. L., & Zhou, L. M. (2006). Adjustable fluid damper with SMA actuators. Smart Materials and Structures, 15(5), 1483–1492.
Lin, Y. Y., Chang, K. C., & Chen C. Y. (2008). Direct displacement-based design for seismic retrofit of existing buildings using nonlinear viscous dampers. Bulletin of Earthquake. Engineering, 6(3) 535-552.
Lu, Z., Wang, Z., Zhou, Y., & Lu, X. (2018). Nonlinear dissipative devices in structural vibration control: A review. Journal of Sound and Vibration, 423, 18–49.
Martínez-Rodrigo, M., Lavado, D. J., & Museros, P. (2010). Dynamic performance of existing high-velocity railway bridges under resonant conditions retrofitted with fluid viscous dampers. Engineering Structures, 32(3), 808–828.
Mousavi, H., Sabbagh Yazdi, S. R., & Almohammad-Albakkar, M. (2022). A novel method for efficient design of frame structures equipped with nonlinear viscous dampers by using computational results of cylindrical friction damper, Australian Journal of Structural Engineering, https://doi: 10.1080/13287982.2022.2088055.##
Narkhede, D., I., & Sinha, R. (2014). Behaviour of nonlinear fluid viscous dampers for control of shock vibrations. Journal of Sound and Vibration, 333(1), 80–98.
Nguyen, Q. H., & Choi, S. B. (2009). Optimal design of MR damper and application to vehicle suspension. Smart Materials ans. Structures, 18, 035012.
Plymate, T. G., & Stout. J. H. (1989). A five-parameter temperature-corrected murnaghan equation for P-V-T surfaces. Journal of Geophysical Research, 94(7), 9477-9483.
Yasuda, K. (1979). Investigation of the analogies between viscometric and linear viscoelastic properties of polystyrene fluids. [Doctoral thesis, MIT, Cambridge], UK.
Ras, A., & Boumechra, N. (2014). Study of nonlinear fluid viscous dampers behaviour in seismic steel structures design. Arabian Journal for Sciences and. Engineering, 39(12) 8635e8648.
Ras, A., & Boumechra, N. (2016). Seismic energy dissipation study of linear fluid viscous dampers in steel structure design. Alexandria Engineering Journal, 55, 2821–2832.
Ras, A. (2015). Etude du comportement des structures en acier sous sollicitations sismiques contreventées par amortisseurs à fluides visqueux. [Doctoral dissertation in civil engineering, University of Tlemcen].##
Ras, A., & Boumechra, N. (2017). Dissipation’s capacity study of lead–rubber bearing system in seismic steel structures design. Arabian Journal for Science and Engineering, Springer, 42(9), 3863–3874. d.
Shangtao, H., Menggang, Y., Dongliang, M., & Renkang, H. (2023). Damping performance of the degraded fluid viscous damper due to oil leakage. Structures, 48, 1609-1619, ISSN 2352-0124.
Singh, B. P. (2005). A comparison of equations of state including the generalized Rydberg EOS. Physica B, 369, 111–116.
Syrakos, A., Dimakopoulos, Y., & Tsamopoulos, J. (2018). Theoretical study of the flow in a fluid damper containing high viscosity silicone oil: Effects of shear-thinning and viscoelasticity. Physics of Fluids, 30(3), 030708.
ANSYS, (2014). Academic Research, ANSYS Fluent, Release 15.0.##
Taylor, D. P. (2010). Smart buildings and viscous dampers design engineer's perspective. Structural Design of Tall and Special Buildings, 19(4), 369-372.
Venkata Ramudu, A. C., Anantha Kumar, K., Sugunamma, V. et al. (2022). Impact of Soret and Dufour on MHD Casson fluid flow past a stretching surface with convective–diffusive conditions. Journal of Thermal Analysis and Calorimetry 147, 2653–2663.
Yasuda, K. (1979). Investigation of the analogies between viscometric and linear viscoelastic properties of polystyrene fluids. [Doctoral thesis, MIT Cambridge], Mass.