This text presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses. This particular class of excitations is adequately characterized by stochastic point processes and behaviour of dynamical systems is governed by stochastic differential equations driven by point processes. Based on the methods of point processes, the analytical techniques are devised to characterize the response of linear and nonlinear mechanical systems as the solutions of underlying stochastic differential equations. A number of example problems of engineering importance are also solved, such as the vibration of plates and shells, and of nonlinear oscillators under random impulses.
Stochastic point processes - basic ideas and methods and other mathematical preliminaries; linear dynamical systems under random pulse trains; nonlinear dynamical systems under random pulse trains.
Series: Advances in Mathematics for Applied Sciences
Number Of Pages: 176
Country of Publication: SG
Dimensions (cm): 22.86 x 16.51
Weight (kg): 0.39