Dynamic response of single-degree-of-freedom bilinear systems

[摘要] An analytical investigation is made of the dynamic response of bilinear single-degree-of-freedom systems excited by transient lateral motions of the base. Both elastic and hysteretic systems are studied. The input motions considered include a half-cycle velocity pulse, a half-cycle displacement pulse, a full-cycle displacement pulse, and an earthquake motion. The response quantity studied is the maximum deformation of the spring. Making use of the piece-wise linearity of the resistance-deformation relationship of the spring, the differential equation of motion is solved exactly in a stepwise manner. The specific problems studied are: The response of elastic systems with Coulomb damping and the relationship of this response to that of systems with viscous damping. The response of bilinear hysteretic systems with unequal yield levels in the two directions of deformation. The response of bilinear elastic systems and its relationship to that of bilinear hysteretic systems. The results are summarized in the form of response spectra.

[发布机构] Rice University