Abstract
ABSTRACT Modal solutions have been used to approximate the dynamic response of rigid-plastic structures that are subjected to impulsive loads. In a modal solution, the spatial distributions (modes) of the velocity and acceleration fields are equal and independent of time. Since the mode of deformation is a function of the structural geometry, large deflections can result in a change in the mode. In this case it is possible to define Instantaneous Modal Solutions (IMS), in which the mode changes with time as a result of the change in the structural geometry. The response is then approximated by a succession of IMS. In this paper, a new uniqueness property for the succession of modes is presented. This leads to the concept of evolutionary modes. Application of evolutionary modes to large deflection analysis of rigid-plastic structures is illustrated. A simple numerical technique that uses evolutionary modes to construct IMS is applied for the analysis of a semi-circular arch that is impulsively loaded at th...
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call