A brief theory and computing of seismic ground rotations for structural analyses

A study on the effects of torsional component of ground motions on seismic response of low‐ and mid‐rise buildings

“…The rocking and torsional components have different effects on the behavior of structures. The rocking component of earthquake may play an important role in the seismic behavior of tall and slender structures such as towers, chimneys, and high‐rise buildings . Recently, Bońkowski et al studied the effect of translational‐rocking seismic excitations on tall structures.…”

Overview of the Unated States and the European Union Standards in Terms of Analysis of Buildings and Structures Under Seismic Wave Action

“…For correct analysis of spatial buildings and structures, it is necessary to consider a space-time field of displacements, velocities and accelerations at points of their ground base. As presented in [1][2][3], the effect of seismic wave propagation is introduced into the analysis by seismic impact vector consisting of three translational and three rotational (angular) components at each point of the ground base. In particular, in [1] is discussed the conditions under which the field of ground wave motions at the base is reduced to a single seismic impact vector applied to the geometric center of the base.…”

“…For linear response spectrum method, the resulting dynamic response are found by the rule SRSS (Square Root of the Sum of Squares). We try to determine the generalized wave model [1][2][3]15] corresponding the spectra (1)-(3). In the generalized wave model, it is assumed that translational motion X i along the i-th axis is caused by shear displacements from SH-and SV-waves and longitudinal displacements from P-waves ( Fig.…”