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期刊论文
CALCULATION OF VERTICAL DYNAMIC CHARACTERISTICS OF TALL BUILDINGS WITH VISCOUS DAMPING
Ira. J. Solid Struclures Vol. 35, No.24. pp. 316-3176, 1998,-0001,():
The magnitude of the vertical component of earthquake ground motion is often aboutone-third of the horizontal component. Thus, it is necessary to calculate vertical dynamic charac-teristics of tall buildings and high-rise structures in design stage for certain cases. In analysing freevibrations of tall buildings and high-rise structures, it is possible to regard such structures as acantilever bar with variable cross-section. In this paper, the differential equations of free longitudinalvibrations (in vertical direction) of bars with variably distributed mass and stiffness consideringdamping effect are established. The damping coefficient of a bar is assumed to be proportional toits mass, and the general solutions of mode shapes of damped distributed parameter systemsare reduced to Bessel's equations by selecting suitable expressions, such as power functions andexponential functions, for the distributions of stiffness and mass. An approach to determine thenatural frequencies and mode shapes in vertical direction for tall buildings with variably distributedstiffness and variably distributed mass is proposed. The presented method is also applicable to thefree longitudinal vibration analysis without considering damping effect (damping coefficient invibration equations is equal to zero). A numerical example shows that the computed values of thefundamental longitudinal natural frequency and mode shape by the proposed method are close tothe full scale measured data. It is shown through the numerical example that the selected expressionsare suitable for describing the distributions of stiffness and mass of typical tall buildings. A com-parison between undamped structural dynamic characteristics and damped natural frequencies,mode shapes is made in this paper.
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