Abstract: The planar rocking of a prismatic rectangular rigid block about either of its corners is considered. The problem of homoclinic intersections of the stable and unstable manifolds of the perturbed ...

Abstract: In this paper, an improved probabilistic linearization approach is developed to study the response of nonlinear single degree of freedom (SDOF) systems under narrow-band inputs. An integral equation for the probability ...

Abstract: A technique is developed to study random vibration of nonlinear systems. The method is based on the assumption that the joint probability density function of the response variables and input ...

Abstract: The probability distribution of the eigenvalues of a second-order stochastic boundary value problem is considered. The solution is characterized in terms of the zeros of an associated initial ...

Abstract: Track irregularity is considerably important in track-vehicle studies. Recorded data of these irregularities form a basis to develop track standards. This also helps specify track inputs to the vehicles. In this paper ...

Abstract: Dynamic analysis of a railway track under moving vibratory masses is presented in this technical note. In such problems the critical velocity is an important parameter. This is influenced by the dynamical characteristics ...

Abstract: A method is presented to find nonstationary random seismic excitations with a constraint on mean square value such that the response variance of a given linear system is maximized. It is also possible to incorporate the ...