An Innovative Model to Determine Damping Ratio based on an Experimental Test during Collision

Document Type : Regular Paper

Authors

1 Ph.D, University of Applied Science and Technology, Center of Semnan Municipality, Semnan, Iran

2 Professor, Faculty of Civil Engineering, Semnan University, Semnan, Iran

3 Associate Professor, Islamic Azad University, Semnan Branch, Semnan, Iran

4 Ph.D Student, Islamic Azad University, Semnan Branch, Semnan, Iran

5 M.Sc., Semnan Municipality, Semnan, Iran

Abstract

This study investigates the damping ratio to evaluate impact force and energy absorption during collisions between adjacent buildings under seismic excitation. Experimental tests using different balls and varying heights were conducted to calculate impact velocity. The case of pounding is carried experimentally out and numerically studied based on an experimental test by using different balls and various heights in order to fall and calculate impact velocity. For this challenge, special element is numerically considered which is included to have spring and dashpot. The stiffness of spring and damping ratio of dashpot needs to be accurately calculated for determining impact value and dissipated energy. The cogency of calculation the value of damping ratio is investigated by defining an impact that is basically described and mathematically simulated with a nonlinear viscoelastic model. Using energy role, energy absorption is calculated, and energy dissipation is estimated. Finally, a new equation of motion in field of damping ratio is approximately suggested, and the accuracy of the formula is numerically confirmed and also compared with the results of experimental analyses. For instance, the results of comparison show a 6% error between numerical study and experimental test. In order to investigate the results of evaluation and compare with other equations and experimental test, another study is generally carried out, which describes same peak impact force about 1192 kN in all various results. Finally, different situations by using various parameters are considered to describe the effect of suggested equation.

Graphical Abstract

An Innovative Model to Determine Damping Ratio based on an Experimental Test during Collision

Highlights

  • Pounding phenomena is accorded when two adjacent structures are built close to each other without sufficient separation distance.
  • In order to calculate impact force, a special parameter is numerically considered, which is called damping ratio and is determined by using stiffness, velocity and masses.
  • Comparison of experimental results and numerical analysis is able to confirm the accuracy of suggested formula in order to calculate the value of damping ratio.
  • Basically, dissipated energy and absorb energy by experimental test and numerical analysis are collected to compare and confirm the equations.

Keywords

Main Subjects


[1]     Anagnostopoulos SA. Pounding of buildings in series during earthquakes. Earthq Eng Struct Dyn 1988;16:443–56. https://doi.org/10.1002/eqe.4290160311.
[2]     Kasai K, Maison BF. Building pounding damage during the 1989 Loma Prieta earthquake. Eng Struct 1997;19:195–207. https://doi.org/10.1016/S0141-0296(96)00082-X.
[3]     Jankowski R. Non-linear viscoelastic modelling of earthquake-induced structural pounding. Earthq Eng Struct Dyn 2005;34:595–611. https://doi.org/10.1002/eqe.434.
[4]     Jankowski R. Pounding force response spectrum under earthquake excitation. Eng Struct 2006;28:1149–61. https://doi.org/10.1016/j.engstruct.2005.12.005.
[5]     Jankowski R. Non-linear FEM analysis of earthquake-induced pounding between the main building and the stairway tower of the Olive View Hospital. Eng Struct 2009;31:1851–64. https://doi.org/10.1016/j.engstruct.2009.03.024.
[6]     Mahmoud S, Jankowski R. Modified linear viscoelastic model of earthquake-induced structural pounding 2011.
[7]     Jankowski R. Experimental study on earthquake‐induced pounding between structural elements made of different building materials. Earthq Eng Struct Dyn 2010;39:343–54. https://doi.org/10.1002/eqe.941.
[8]     Komodromos P, Polycarpou PC, Papaloizou L, Phocas MC. Response of seismically isolated buildings considering poundings. Earthq Eng Struct Dyn 2007;36:1605–22. https://doi.org/10.1002/eqe.692.
[9]     Polycarpou P, Komodromos P. On the Numerical Simulation of Impacts for the Investigation of Earthquake-Induced Pounding of Buildings, n.d. https://doi.org/10.4203/ccp.93.144.
[10]   Ye K, Li L, Zhu H. A note on the Hertz contact model with nonlinear damping for pounding simulation. Earthq Eng Struct Dyn 2009;38:1135–42. https://doi.org/10.1002/eqe.883.
[11]    Kun Y. Modified kelvin pounding analytical model. Eng Mech 2009;26:245–8.
[12]   Barros RC, Khatami SM. Importance of separation distance on building pounding under near-fault ground motion, using the Iranian earthquake code. 9th Int. Congr. Civ. Eng. Isfahan Univ. Technol. (IUT), Isfahan, Iran, 2012.
[13]   Naderpour H, Khatami SM, Barros RC. Creation of a new equation of motion to calculate dissipated energy between two Adjacent Buildings (Compdyn 2015) 2015.
[14]   Naderpour H, De Menezes E, Manuel R, Khatami SM. A new model for calculating the impact force and the energy dissipation based on CR-factor and impact velocity. Sci Iran 2015;22:59–68.
[15]   Naderpour H, Barros RC, Khatami SM, Jankowski R. Numerical Study on Pounding between Two Adjacent Buildings under Earthquake Excitation. Shock Vib 2016;2016:1–9. https://doi.org/10.1155/2016/1504783.
[16]   Naderpour H, Barros RC, Khatami SM. Suggestion of an equation of motion to calculate the damping ratio during earthquake based on a cyclic procedure. J Theor Appl Mech 2016:963. https://doi.org/10.15632/jtam-pl.54.3.963.
[17]   Naderpour H, Khatami SM, Barros RC. Prediction of Critical Distance Between Two MDOF Systems Subjected to Seismic Excitation in Terms of Artificial Neural Networks. Period Polytech Civ Eng 2017. https://doi.org/10.3311/PPci.9618.
[18]   Muthukumar S, DesRoches R. A Hertz contact model with non-linear damping for pounding simulation. Earthq Eng Struct Dyn 2006;35:811–28. https://doi.org/10.1002/eqe.557.
[19]   Goldsmith W. Impact: the Theory and Physical Behavior of Colliding Solids, Edward Arnold Ltd. London, Engl 1960.
[20]   Jankowski R, Mahmoud S. Modelling of Structural Pounding, 2015, p. 9–34. https://doi.org/10.1007/978-3-319-16324-6_2.
[21]   Jankowski R, Mahmoud S. Earthquake-Induced Structural Pounding. Cham: Springer International Publishing; 2015. https://doi.org/10.1007/978-3-319-16324-6.
[22]   Rabiee R, Chae Y. Adaptive base isolation system to achieve structural resiliency under both short- and long-period earthquake ground motions. J Intell Mater Syst Struct 2019;30:16–31. https://doi.org/10.1177/1045389X18806403.
[23]   Akbulut M, Sarac A, Ertas AH. An investigation of non-linear optimization methods on composite structures under vibration and buckling loads. Adv Comput Des 2020;5:209–31.
[24]   Khatami SM, Naderpour H, Mortezaei A, Maddah M, Lasowicz N, Jankowski R. Optimum shapes and dimensions of rubber bumpers in order to reduce structural pounding during seismic excitations. Structures 2023;48:1046–56. https://doi.org/10.1016/j.istruc.2023.01.026.
[25]   Khatami SM, Matos JC, Naderpour H, Mortezaei A, Maddah M. Enhancing Pounding Hazard Assessment: Investigating Rubber Bumper Behavior in Base Isolation Systems during Earthquakes. Pract Period Struct Des Constr 2024;29. https://doi.org/10.1061/PPSCFX.SCENG-1379.
[26]   Khatami SM, Naderpour H, Mortezaei A, Sharbatdar A, Lasowicz N, Jankowski R. The Effectiveness of Rubber Bumpers in Reducing the Effects of Earthquake-Induced Pounding between Base-Isolated Buildings. Appl Sci 2022;12:4971. https://doi.org/10.3390/app12104971.
[27]   Khatami SM, Naderpour H, Mortezaei AR, Barros RC, Maddah M. The effect of rubber bumper in order to suggest a new equation to calculate damping ratio, subjected building pounding during seismic excitation. Earthquakes Struct 2022;23:129.