ANALYTICAL SOLUTION OF THE DYNAMIC RESPONSE OF SUSPENSION BRIDGE TOWER–PIER SYSTEMS WITH DISTRIBUTED MASS TO BASE EXCITATION

2000 ◽  
Vol 229 (3) ◽  
pp. 467-490
Author(s):  
C.J. YOUNIS ◽  
D.E. PANAYOTOUNAKOS
2002 ◽  
Vol 21 (3) ◽  
pp. 157-168 ◽  
Author(s):  
C.J. Younis ◽  
D.E. Panayotounakos

A typical suspension bridge tower-pier system is considered, the tower mass of which is not negligible and assumes an arbitary distribution along the tower. The pier rests on a viscoelastic foundation and can follow rotational and horizontal motion. The surrounding soils perform a horizontal harmonic motion. The equation of motion of the pier as well as the partial differential equation of the lateral deflections of the tower with the accompanying boundary conditions, are derived. The solution of the above p.d.e. is taken as a sum of terms, each one corresponding to an eigenshape of vibration of the tower. Applying the Galerkin method a system of ordinary differential equations results. The system of all the o.d.e.′s of motion (the pier's and the tower's) is solved for the steady state response, and based upon the resulting deflections, the stresses along the tower are determined. A parametric study is carried out.


1988 ◽  
Vol 10 (3) ◽  
pp. 185-193 ◽  
Author(s):  
Alan G. Hernried ◽  
Kai-Sing Lau

Author(s):  
Lei Liu ◽  
Tieyi Zhong ◽  
Guangzhi Fu ◽  
Junhua Xiao

Author(s):  
Jianli Zuo ◽  
Jianjun Wu ◽  
Ping Li ◽  
Shenjian Su

The physical model of a high-speed vertical rotating machine was taken as the example. The motion differential equations of the rotor system were established by the Lagrange equation and numerically solved by the Wilson-θ method. The whirling characteristics of the rotor excited by the base’s harmonic motions have been analyzed. The whirling directions are different between the rotor’s upper and lower ends. And the whirling characteristics of the rotor vary with the frequency of the base’s motion. Besides, there exists such a region of the rotor’s rotary speed, in which the whirling characteristics and amplitudes of the rotor system are relatively steady, so the aseismic tests at a certain lower speed can be done to examine the aseismic capability of the rotor system at operating speed.


2017 ◽  
Vol 199 ◽  
pp. 3047-3052 ◽  
Author(s):  
Øyvind Wiig Petersen ◽  
Ole Øiseth ◽  
Eliz-Mari Lourens

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