Jp. Dias et Ms. Pereira, DYNAMICS OF FLEXIBLE MECHANICAL SYSTEMS WITH CONTACT-IMPACT AND PLASTIC-DEFORMATIONS, Nonlinear dynamics, 8(4), 1995, pp. 491-512
A computer based formulation for the analysis of mechanical systems is
investigated as a feasible method to predict the impact response of c
omplex structural systems. A general methodology for the dynamic analy
sis of rigid-flexible multibody systems using a number of redundant Ca
rtesian coordinates and the method of the Lagrange multipliers is pres
ented. The component mode synthesis is then used to reduce the number
of flexible degrees of freedom. In many impact situations, the individ
ual structural members are overloaded giving rise to plastic deformati
ons in highly localized regions, called plastic hinges. This concept i
s used by associating revolute nonlinear actuators with constitutive r
elations corresponding to the collapse behavior of the structural comp
onents. The contact of the system components is described using a cont
inuous force model based on the Hertz contact law with hysteresis damp
ing. The effect and importance of structural damping schemes in flexib
le bodies are also addressed here. Finally, the validity of this metho
dology is assessed by comparing the results of the proposed models wit
h those obtained in different experimental tests where: a beam collide
s transversally with a rigid block; a torque box impacts a rigid barri
er.