An Explicit Dynamic Method of Rigid Bodies-Spring Model

The rigid bodies-spring model (RBSM) has been developed as a numerical model to generalize limit analysis in plasticity, in which the structure to be analyzed is idealized as an assemblage of rigid bodies connected by normal and tangential springs. Originally, this approach was a discrete model for handling static problem. In this paper, we illustrate the formulation of an explicit dynamic method for each element using the principle of hybrid-type virtual work. Additionally, we propose a new RBSM approach for contact mechanism and friction characteristics. Finally, we verify the accuracy of dynamic analysis by RBSM with some numerical examples.

Functional Limit Theorem for Products of Sums of Independent and Nonidentically Distributed Random Variables

We study the weak convergence in the spaceD[0,1]of processes constructed from products of sums of independent but not necessarily identically distributed random variables. The presented results extend and generalize limit theorems known so far for i.i.d. sequences.