Original scientific paper This paper presents semi-analytical solution for the problem of elastic impact of two beams. The solution is based on the finite element discretization of the structure and equation of motion solution using diagonalization method for solving a system of differential equations. This procedure avoids temporal discretization typical for numerical methods, and in this way ...

A decentralized control algorithm for structural control system design has been developed. This novel approach is termed market-based control. As a potential alternative to the classical Linear Quadratic Regulator (LQR), this method decentralizes the decision process of the control system and allows for independent and autonomous control formulation to occur directly upon the control device. Th...

This note is concerned with a semi-analytical method for the solution of 2-D Helmholtz equation in unit square. The method uses orthogonal functions to project the problem down to finite dimensional space. After the projection, the problem simplifies to that of obtaining solutions for second order constant coefficient differential equations which can be done analytically. Numerical results indi...