Force-state mapping is extended to allow the quasistatic characterizat
ion of realistic multiple degree-of-freedom systems whose constitutive
relations are nonlinear, dissipative, coupled, and depend on memory o
f past states. A general constitutive force-state model is formulated,
which includes dynamic hysteresis phenomena typical of that found in
deployable structures. A two step parameter identification approach is
developed, which employs a linear extended least squares and a nonlin
ear least squares fit. A six degree-of-freedom force-state testing dev
ice was constructed and used to obtain data on one bay of a simple tru
ss and on one bay of the mid-deck 0-gravity dynamics experiment deploy
able truss.