Suggestion of an equation of motion to calculate the damping ratio during earthquake based on a cyclic procedure

• Autorzy: Naderpour H. , Barros R. C. , Khatami S. M.

Identyfikatory

DOI

10.15632/jtam-pl.54.3.963

• Języki publikacji: EN

Abstrakty

EN

Large horizontal relative displacements are naturally caused by seismic excitation, which is able to provide collisions between two adjacent buildings due to insufficient separation distance and severe damages due to impacts, especially in tall buildings. In this paper, the impact is numerically simulated and two needed parameters are calculated, including the impact force and energy absorption. In order to calculate the mentioned parameters, mathematical study is carried out to model an unreal link element, which is logically assumed to be a spring and dashpot to determine the lateral displacement and damping ratio of the impact. For the determination of the dynamic response of the impact, a new equation of motion is theoretically suggested to the evaluate impact force and energy dissipation. In order to confirm the rendered equation, a series of parametric studies are performed and the accuracy of the formulas is confirmed.

Słowa kluczowe

EN

pounding; impact; dissipated rnergy; coefficient of restitution

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 3
• Strony: 963--973
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Naderpour H.

• Semnan University, Faculty of Civil Engineering, Semnan, Iran

autor

Barros R. C.

• University of Porto(FEUP), Faculty of Engineering, Porto, Portugal

autor

Khatami S. M.

• Semnan University, Faculty of Civil Engineering, Semnan, Iran

Bibliografia

• 1. Anagnostopoulos S.A., 1995, Earthquake induced pounding: state of the art, Proceedings of 10th European Conference on Earthquake Engineering, Balkema, Rotterdam, 897-905
• 2. Anagnostopoulos S.A., 1996, Building pounding re-examined: how serious a problem is it? Eleventh World Conference on Earthquake Engineering, Pergamon, Elsevier Science Ltd.
• 3. Anagnostopoulos S.A., 2004, Equivalent viscous damping for modeling inelastic impacts in earthquake pounding problems, Earthquake Engineering and Structural Dynamics, 33, 8, 897-902
• 4. Barros R.C, Khatami S.M., 2012a, Building pounding forces for different link element models, CST2011, 4-7 September, Dubrovnic, Croatia
• 5. Barros R.C, Khatami S.M., 2012b, Seismic response effect of shear walls in reducing pounding risk of reinforced concrete building pounding subjected to near fault-ground motion, 15th World Conference Earthquake Engineering, 15WCEE, Lisbon, Portugal
• 6. Barros R.C., Khatami S.M., 2013, Damping ratios for pounding of adjacent building and their consequence on the evaluation of impact forces by numerical and experimental models, Mecanica Experimental, 22, 119-131
• 7. Barros R.C., Naderpour H., Khatami S.M., Mortezaei A.R., 2013, Influence of seismic pounding on rc buildings with and without base isolation system subject to near-fault ground motions, Journal of Rehabilitation in Civil Engineering, 1, 39-52
• 8. Goldsmith W., 1960, Impact: The Theory and Physical Behavior of Colliding Solids, 1st ed., Edward Arnold: London U.K.
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• 10. Jankowski R., 2009, Non-linear FEM analysis of earthquake-induced pounding between the main building and the stairway tower of the Olive View Hospital, Engineering Structures, 31, 8, 1851-1864
• 11. Jankowski R., 2010, Experimental study on earthquake-induced pounding between structural elements made of different building materials, Earthquake Engineering and Structural Dynamics, 39, 3, 343-354
• 12. Jankowski R., 2012, Non-linear FEM analysis of pounding-involved response of buildings under non-uniform earthquake excitation, Engineering Structures, 37, 0, 99-105
• 13. Kajita Y., Kitahara T., Nishimoto, N., 2006, Estimation of maximum impact force on natural rubber during collision, First European Conference on Earthquake Engineering and Seismologhy, 1st Ecees, Geneva, Switzland
• 14. Kasai K., Maison B.F., 1997, Building pounding damage during the 1989 Loma Prieta earthquake, Engineering Structures, 19, 3, 195-207
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• 16. Komodromos P., Polycarpou P., 2012, A nonlinear impact model for simulating the use of rubber shock absorbers for mitigating the effect of structural pounding during earthquake, Earthquake Engineering and Structural Dynamics 42, 81-100
• 17. Komodromos P., Polycarpou P.C., Papaloizou L., Phocas M.C., 2007, Response of seismically isolated buildings considering poundings, Earthquake Engineering and Structural Dynamics, 36, 12, 1605-1622
• 18. Muthukumar S., DesRoches R., 2006, A Hertz contact model with non-linear damping for pounding simulation, Earthquake Engineering and Structural Dynamics, 35, 7, 811-828
• 19. Naderpour H., Barros R.C, Khatami S.M., 2013, A new equation of motion to calculate the impact force and the energy dissipation, Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing, B.H.V. Topping, P. Iv´anyi (Edit.), Civil-Comp Press, Stirlingshire, UK, Paper 92, Doi:10.4203/ccp.102.92
• 20. Naderpour H., Barros R.C., Khatami S.M., 2014, A new model for calculating the impact force and the energy dissipation based on cr-factor and impact velocity, Scientia Iranica, 1, 48-63
• 21. Ye K., Li L., Zhu H., 2009, A note on the Hertz contact model with nonlinear damping for pounding simulation, Earthquake Engineering and Structural Dynamics, 38, 9, 1135-1142
• 22. Yu Q.K., Gonzalez D., 2008, Lessons learned from the October 15, 2006 Hawaii earthquake and the August 15, 2007 Peru earthquake, 14th World Conference on Earthquake Engineering: Innovation Practice Safety, International Association for Earthquake Engineering

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.