Abstract
A procedure is presented for investigating the stability of the torsional component of response in a nonlinear unsymmetric structure subjected to translational excitation. The torsional motion is found to be unstable due to the nonlinearity of the resisting elements if the parameters of the system are such that they fall within the region bounded by the upper and the lower instability curves. Furthermore, relationships for torsional damping and other system parameters determine the minimum torsional damping necessary to stabilize the torsional component of the motion. Thus, the procedure presented herein may be applied to structures that are susceptible to lateral-torsional coupling arising from nonlinearity of the resisting elements, eccentricity between the centres of resistance and mass, or a combination of both of these factors.
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