In fibrous connective tissue networks, mechanical loads may be transferred from one fiber to the next by friction between slipping fibers (J. Appl. Physiol. 74: 665-681, 1993). Here we tested that hypothesis; it predicts that elastance of fibrous networks increases with increasing frequency, decreases with increasing strain amplitude (delta epsilon), and decreases with tissue swelling by solvent. Similarly, it predicts that hysteresivity (eta) decreases with increasing frequency, increases with increasing delta epsilon, decreases with tissue swelling, and, importantly, exceeds that of isolated fibrous constituents of the matrix. Elastance and eta of two structurally dissimilar connective tissues were measured, the rabbit lung parenchymal strip (a loose collagenous tissue) and the pigeon ligamentum propatagiale (an elastin-rich tissue). Experiments covered the frequency range 0.03125-3.125 Hz. Elastance of lung parenchyma was substantially lower than that of propatagial ligament, increased linearly with the logarithm of frequency, and decreased with delta epsilon; that of ligamentum propatagiale was insensitive to both frequency and delta epsilon. eta of lung parenchyma decreased moderately with increasing frequency and assumed values of approximately 0.1, but eta of ligamentum propatagiale was frequency and delta epsilon invariant and assumed values an order of magnitude smaller. These tissues also showed disparate mechanical responses when exposed to hypertonic bath solutions. Although there were some quantitative differences between predictions and experimental observations, the dynamic behavior of lung parenchyma was generally consistent with that of a network in which load is transferred from one fiber to the next by the agency of friction acting at slipping interface surfaces.