Finite non-homogeneous semi-Markov processes: Theoretical and computational aspects

This paper gives basic definitions and properties related to what we call the non-homogeneous semi-Markov processes with a finite number of states using the formalism of counting processes, i.e. with intensity functions. We show how it is possible to get generalized Polya processes as a very particular case. We also treat the computational aspect by discretisation and as an application, we develop a social security problem.     

Effect of non-homogeneity on natural frequencies of vibration of elliptic plates

This paper presents the effect of non-homogeneity of the material of plate structures on the vibration frequencies. The non-homogeneity of the plate is characterized by taking a variety of combinations of linear as well as quadratic variations in the Young’s modulus and density of the material. Boundary characteristic orthogonal polynomials using Gram-Schmidt procedure have been employed in the Rayleigh Ritz method. The results have been included for the first few frequencies of the plate element for all the boundary conditions viz. clamped, simply supported and free. Related Tables and graphs are incorporated to show the effect of the non-homogeneity parameter on the frequencies of the vibration of elliptic and circular plates.