A detailed investigation into the analysis of beams with different boundary conditions. carrying either a moving mass or force is performed. Analytical and numerical techniques for determination of the dynamic behavior of beams due to a concentrated travelling force or mass are presented. The transformation of the familiar Euler-Bernoulli thin beam equation into a series of ordinary differentia...

where the constant M (A) is the mean value of A(x) as defined in the theory of almost periodic functions. Let it) —feitxdFix) denote the characteristic function of the X's. Concerning the roots of the equation o5(¿) = 1 one of the three following cases must hold. Case 1 ("General" case), (pit) = 1 if and only if t = 0. Case 2 ("Lattice" case). <p(f) is not identically equal to 1 but there ex...

We consider a stochastic variant of the game of Bulgarian solitaire [9]. For the stationary measure of the random Bulgarian solitaire, we prove that most of its mass is concentrated on (roughly) triangular configurations of certain type.

We consider a stochastic variant of the game of Bulgarian solitaire [9]. For the stationary measure of the random Bulgarian solitaire, we prove that most of its mass is concentrated on (roughly) triangular configurations of certain type.

In this article, transverse vibration of a cantilever nano- beam with functionally graded materials and carrying a concentrated mass at the free end is studied. Material properties of FG beam are supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM). The small scale effect is taken into consideration based on nonlocal elasticity theory of E...

plan irregularity causes local damages being concentrated in the irregular buildings. progressive collapse is also the collapse of a large portion or whole building due to the local damages in the structure. the effect of irregularity on the progressive collapse potential of the buildings is investigated in this study. this is carried out by progressive collapse evaluation of the asymmetric mid...