@book{b95903886c244991b2017f2fb383c622,
title = "Response of Non-Linear Systems to Renewal Impulses by Path Integration",
abstract = "The cell-to-cell mapping (path integration) technique has been devised for MDOF non-linear and non-hysteretic systems subjected to random trains of impulses driven by an ordinary renewal point process with gamma-distributed integer parameter interarrival times (an Erlang process). Since the renewal point process has not independent increments the state vector of the system, consisting of the generalized displacements and velocities, is not a Markov process. Initially it is shown how the indicated systems can be converted to an equivalent Poisson driven system at the expense of introducing additional discrete-valued state variables for which the stochastic equations are also formulated.",
keywords = "Non-Linear Systems, Random Vibration, Random Impulses, Renewal Point Process, Path Integration, Cell-to-Cell Mapping, Non-Linear Systems, Random Vibration, Random Impulses, Renewal Point Process, Path Integration, Cell-to-Cell Mapping",
author = "Nielsen, {S{\o}ren R.K.} and R. Iwankiewicz",
note = "Submitted to ASCE, Journal of Engineering Mechanics PDF for print: 32 pp.",
year = "1995",
language = "English",
series = "Structural Reliability Theory",
publisher = "Dept. of Building Technology and Structural Engineering",
number = "142",
}