Closed Form Optimal Solution of a Tuned Liquid Column Damper Responding to Earthquake
In this paper the vibration behaviors of a structure equipped with a tuned liquid column damper (TLCD) under a harmonic type of earthquake loading are studied. However, due to inherent nonlinear liquid damping, it is no doubt that a great deal of computational effort is required to search the optimum parameters of the TLCD, numerically. Therefore by linearization the equation of motion of the single degree of freedom structure equipped with the TLCD, the closed form solutions of the TLCD-structure system are derived. To find the reliability of the analytical method, the results have been compared with other researcher and have good agreement. Further, the effects of optimal design parameters such as length ratio and mass ratio on the performance of the TLCD for controlling the responses of a structure are investigated by using the harmonic type of earthquake excitation. Finally, the Citicorp Center which has a very flexible structure is used as an example to illustrate the design procedure for the TLCD under the earthquake excitation.
[1] A. Kareem, T. Kijewski, and Y. Tamura, ÔÇÿÔÇÿMitigation of Motion of
Tall Buildings with Recent Applications,-- Wind and Structures J.,
vol. 2, pp. 132-184, 1999.
[2] M. D. Symans, and M. C. Constantinou, ÔÇÿÔÇÿSemi-active control
systems for seismic protection of structures: a state-of-art review,"
Engineering Structures J., vol. 21, pp. 469-487, 1999.
[3] B. F. Spencer, and M. K. Sain, ÔÇÿÔÇÿControlling buildings: a new frontier
in feedback," Special Issue of the IEEE Control Systems Magn.on
Emeging Tchnology , vol. 17, No. 6, pp. 19-35, December. 1997.
[4] A. P. Wang, R. F. Fung, and S. C. Huang, ÔÇÿÔÇÿDynamic analysis of a
tall building with a tuned mass damper device subjected to
earthquake excitations,-- Sound and vibration J., vol. 244, pp. 123-
136, 2001.
[5] K. K. F. Wong, ÔÇÿÔÇÿSeismic energy dissipation of inelastic structures
with tuned mass dampers,-- Engineering Mechanics J., vol. 134, No.
2, pp. 163-172, February 2008.
[6] M. Reiterer, and F. Ziegler, ÔÇÿÔÇÿBi-axial seismic activation of civil
engineering structures equipped with tuned liquid column damper,--
JSEE, vol. 7, No. 1, pp. 45-60, Spring 2005.
[7] J. C. Wu, C. H. Chang, and Y. Y. Lin, ÔÇÿÔÇÿOptimal design of nonuniform
tuned liquid column dampers in horizontal motion (to be
published),-- Sound and vibration J., 2009.
[8] A. A. Taflanidis, D. C. Angelides, and G. C. Manos, ÔÇÿÔÇÿOptimal
design and performance of liquid column mass dampers for rotational
vibration control of structures under white noise excitation,"
Engineering Structures J., vol. 27, pp. 524-534, 2005.
[9] S. D. Xue, J. M. Ko, and Y. L. Xue, ÔÇÿÔÇÿOptimal parameters of tuned
liquid column damper for suppressing pitching vibration of an
undamped structure,-- Sound and vibration J., vol. 235, pp. 639-653,
2000.
[10] K. W. Min, H. S. Kin, S. H. Lee, H. Kim, and S. K. Ahn,
ÔÇÿÔÇÿPerformance evaluation of tuned liquid column dampers for
response control of a 76-story benchmark building," Engineering
Structures J., vol. 27, pp. 1101-1112, 2005.
[11] K. M. Shum, ÔÇÿÔÇÿClosed form optimal solution of a tuned liquid column
dampers for suppressing harmonic vibration of structures,"
Engineering Structures J., vol. 31, No1, pp. 84-92, 2009.
[12] J. C. Wu, M. H. Shih, Y. Y. Lin, and Y. C. Shen, ÔÇÿÔÇÿDesign guidelines
for tuned liquid column dampers for structures responding to wind,"
Engineering Structures J., vol. 27, pp. 1839-1905, 2005.
[13] F. Sadek, B. Mohraz, and H. S. Lew, ÔÇÿÔÇÿSingle and multiple tuned
liquid column dampers for seismic applications," Earthquake
Engineering and Structural dynamics J., vol. 27, pp. 439-463, 1998.
[14] A. A. Taflanidis, J. L. Beck, and D. C. Angelides, ÔÇÿÔÇÿRobust
reliability-based design of liquid column mass dampers under
earthquake excitation using an analytical reliability approximation,"
Engineering Structures J., vol. 29, pp. 3525-3537, 2007.
[15] C. C. Chang, and C. T. Hsu, ÔÇÿÔÇÿcontrol performance of liquid column
vibration absorbers," Engineering Structures J., vol. 20, No. 7, pp.
580-586, 1998.
[16] R. C. Battista, E. M. L. Carvalho and R. de Almeida Souza, ÔÇÿÔÇÿHybrid
fluid-dynamic control devices to attenuate slender structures
oscillations," Engineering Structures J., vol. 30, No. 12, pp. 3513-
3522, 2008.
[1] A. Kareem, T. Kijewski, and Y. Tamura, ÔÇÿÔÇÿMitigation of Motion of
Tall Buildings with Recent Applications,-- Wind and Structures J.,
vol. 2, pp. 132-184, 1999.
[2] M. D. Symans, and M. C. Constantinou, ÔÇÿÔÇÿSemi-active control
systems for seismic protection of structures: a state-of-art review,"
Engineering Structures J., vol. 21, pp. 469-487, 1999.
[3] B. F. Spencer, and M. K. Sain, ÔÇÿÔÇÿControlling buildings: a new frontier
in feedback," Special Issue of the IEEE Control Systems Magn.on
Emeging Tchnology , vol. 17, No. 6, pp. 19-35, December. 1997.
[4] A. P. Wang, R. F. Fung, and S. C. Huang, ÔÇÿÔÇÿDynamic analysis of a
tall building with a tuned mass damper device subjected to
earthquake excitations,-- Sound and vibration J., vol. 244, pp. 123-
136, 2001.
[5] K. K. F. Wong, ÔÇÿÔÇÿSeismic energy dissipation of inelastic structures
with tuned mass dampers,-- Engineering Mechanics J., vol. 134, No.
2, pp. 163-172, February 2008.
[6] M. Reiterer, and F. Ziegler, ÔÇÿÔÇÿBi-axial seismic activation of civil
engineering structures equipped with tuned liquid column damper,--
JSEE, vol. 7, No. 1, pp. 45-60, Spring 2005.
[7] J. C. Wu, C. H. Chang, and Y. Y. Lin, ÔÇÿÔÇÿOptimal design of nonuniform
tuned liquid column dampers in horizontal motion (to be
published),-- Sound and vibration J., 2009.
[8] A. A. Taflanidis, D. C. Angelides, and G. C. Manos, ÔÇÿÔÇÿOptimal
design and performance of liquid column mass dampers for rotational
vibration control of structures under white noise excitation,"
Engineering Structures J., vol. 27, pp. 524-534, 2005.
[9] S. D. Xue, J. M. Ko, and Y. L. Xue, ÔÇÿÔÇÿOptimal parameters of tuned
liquid column damper for suppressing pitching vibration of an
undamped structure,-- Sound and vibration J., vol. 235, pp. 639-653,
2000.
[10] K. W. Min, H. S. Kin, S. H. Lee, H. Kim, and S. K. Ahn,
ÔÇÿÔÇÿPerformance evaluation of tuned liquid column dampers for
response control of a 76-story benchmark building," Engineering
Structures J., vol. 27, pp. 1101-1112, 2005.
[11] K. M. Shum, ÔÇÿÔÇÿClosed form optimal solution of a tuned liquid column
dampers for suppressing harmonic vibration of structures,"
Engineering Structures J., vol. 31, No1, pp. 84-92, 2009.
[12] J. C. Wu, M. H. Shih, Y. Y. Lin, and Y. C. Shen, ÔÇÿÔÇÿDesign guidelines
for tuned liquid column dampers for structures responding to wind,"
Engineering Structures J., vol. 27, pp. 1839-1905, 2005.
[13] F. Sadek, B. Mohraz, and H. S. Lew, ÔÇÿÔÇÿSingle and multiple tuned
liquid column dampers for seismic applications," Earthquake
Engineering and Structural dynamics J., vol. 27, pp. 439-463, 1998.
[14] A. A. Taflanidis, J. L. Beck, and D. C. Angelides, ÔÇÿÔÇÿRobust
reliability-based design of liquid column mass dampers under
earthquake excitation using an analytical reliability approximation,"
Engineering Structures J., vol. 29, pp. 3525-3537, 2007.
[15] C. C. Chang, and C. T. Hsu, ÔÇÿÔÇÿcontrol performance of liquid column
vibration absorbers," Engineering Structures J., vol. 20, No. 7, pp.
580-586, 1998.
[16] R. C. Battista, E. M. L. Carvalho and R. de Almeida Souza, ÔÇÿÔÇÿHybrid
fluid-dynamic control devices to attenuate slender structures
oscillations," Engineering Structures J., vol. 30, No. 12, pp. 3513-
3522, 2008.
@article{"International Journal of Architectural, Civil and Construction Sciences:53745", author = "A. Farshidianfar and P. Oliazadeh", title = "Closed Form Optimal Solution of a Tuned Liquid Column Damper Responding to Earthquake", abstract = "In this paper the vibration behaviors of a structure equipped with a tuned liquid column damper (TLCD) under a harmonic type of earthquake loading are studied. However, due to inherent nonlinear liquid damping, it is no doubt that a great deal of computational effort is required to search the optimum parameters of the TLCD, numerically. Therefore by linearization the equation of motion of the single degree of freedom structure equipped with the TLCD, the closed form solutions of the TLCD-structure system are derived. To find the reliability of the analytical method, the results have been compared with other researcher and have good agreement. Further, the effects of optimal design parameters such as length ratio and mass ratio on the performance of the TLCD for controlling the responses of a structure are investigated by using the harmonic type of earthquake excitation. Finally, the Citicorp Center which has a very flexible structure is used as an example to illustrate the design procedure for the TLCD under the earthquake excitation.
", keywords = "Closed form solution, Earthquake excitation, TLCD.", volume = "3", number = "11", pages = "463-6", }
