Abstract
An investigation of the occurrence of nonlinear torsional instability in singly eccentric structures with large eccentricity and subjected to translation harmonic excitation is presented. Extending earlier studies, this investigation incorporates parameters defining the degree of eccentricity between the centres of stiffness and mass as well as the distribution of lateral load resisting elements within the plan area of the eccentric structures. Torsional instability is examined in the torsional versus input frequency domain following Bolotin's stability criterion, as well as in amplitude versus frequency parameter space employing the Kryloff-Bogoliuboff method of averaging. The latter indicates that the stability behaviour of nonlinear eccentric structures belongs to the class of systems exhibiting the drop-jump phenomenon. Furthermore, eccentric structures with uniformly distributed resisting elements are found to experience a high degree of torsional instability compared to other structural configurations.
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