科研之友
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摘要
The objective of the current paper is to develop a simple hand formula to estimate the fundamental vibration period of tall buildings for use in equivalent lateral force analysis specified in building codes. The method based on the Sturm-Liouville differential equation is presented here for estimating the fundamental period of natural vibration. The resulting equation, based on the continuum representation of a tall building braced by coupled shear walls for natural vibration of the building, is proved to be the fourth-order Sturm-Liouville differential equation, and a hand method for determining the fundamental period of natural vibration of the building is presented. Making use of the coupled wall theory for natural vibration, the method is extended to deal with the vibration problem of other tall buildings braced by frame, walls and/or tube. The method has the merit of being simple in terms of numerical computation and presentation and yet is very versatile when combined with numerical analysis. Once the structural parameters alpha H and mu of a tall building are computed, the fundamental vibration period of the building can be readily obtained. The value of the method is that it will allow a more consistent and accurate use of code formulae for calculating the earthquake-induced maximum base shear in a tall building. Use of the method is economical with respect to both computer time and equipment, for example a hand calculator would suffice to handle the calculations of period of the buildings at concept design stage. It can also be useful to verify the results of the finite-element method where the time-consuming procedure of handling all the data can always be a source of errors.
- 出版日期2007-12
- 单位福州大学
