Behavior of high-rise steel building with the inclusion of warping

Abstract EN

The mathematical procedure in this study covers the calculation of sectorial properties of the equivalent cross-sectional storey for high-rise building frames.

The formulation is efficiently used to obtain the free vibration analysis of high-rise buildings which are constructed from several columns, beams, shear walls and bracing etc.

the analysis is based on transformation the complex system to a simple tall column to represent a cantilevered tall building structure.

This is partitioned to nodes one of which indicates a storey with equivalent cross-sectional properties for all storeys' elements after calculation of these properties with respect to the shear center of high-rise building.

A thin walled bar finite element with seven degrees of freedom at each node is assumed.

A new formulation of the stiffness and consistent mass matrices of the thin- walled element is presented in this study.

The effect of cross sectional warping and its properties on the flexural, torsional and axial properties was investigated, using discrete element approach in idealizing the structure in high rise building.

For the purpose of the present study, it is assumed that the cross-sectional types under condition are only of thin-walled sections.

Algorithm method was developed which covers the calculation of sectorial properties of the cross section for floor plan in high-rise building, to study the share of columns for lateral shear force resistance, and investigate the behavior of different types of high-rise building with inclusion of warping restraint.

The effect of natural frequency with height of tall buildings, and the mode shape for different cross-sectional plans of high-rise building was studied.

To check the efficiency and accuracy, the mathematical procedure is demonstrated for static and dynamic examples by comparing the results with those obtained by using software ANSYS program.

A difference of 15% is shown.

An eigen value problem is analyzed and numerical examples are discussed.