Abstract As a sequel to Reference 1, this paper presents new analytical and topological guidelines for synthesizing negative‐ resistance devices. Among other things, these guidelines can be used to tune the devices by varying the magnitude and dynamic range of the negative (small‐signal) resistance. Necessary and sufficient conditions are given for a circuit containing only one bipolar transistor and linear reciprocal passive two‐ports (e.g. ideal transformers) to exhibit a negative resistance. In the special case where the circuit contains only one ideal transformer, one transistor and linear positive 2‐terminal resistors, an equivalent topological criterion which can be checked by inspection is given. Finally, three canonical negative‐resistance one‐ports containing two identical bipolar transistors, linear positive 2‐terminal resistors and batteries are synthesized to exhibit an odd‐symmetric (hence active) voltage‐controlled or current‐controlled v‐i curve.
Abstract The effect of stiffness degradation in reinforced concrete structural members on the inelastic response of multistorey buildings to earthquakes is investigated. In particular, the following question is examined. How do the ductility requirements for multistorey systems with degrading stiffness behaviour compare with those for structures with ordinary bilinear hysteretic property? Inelastic dynamic responses of two idealized multistorey buildings, one having a long and the other a relatively short fundamental period, to an ensemble of twenty simulated earthquakes representative of moderately intense ground motions in California at moderate epicentral distances on firm ground, are analysed for ordinary bilinear hysteretic behaviour and for bilinear hysteretic behaviour with stiffness degradation property. The conclusions deduced from the results of this investigation include the following (1) It is, in general, not possible to predict the maximum response of a degrading stiffness system from results for the corresponding ordinary bilinear system (2) The differences in ductility requirements due to stiffness degradation are generally smaller than those associated with probabilistic variability from one ground motion to another (3) Stiffness degradation has little influence on the ductility requirements for flexible buildings, but it leads to increased ductility requirements for stiff buildings.
Abstract not Available.