Modeling of a Continuous Oscillator by Oscillators with a Finite Number of Degrees of Freedom

摘要

In an engineering approach, continuous systems are often modeled by systems with a finite number of degrees of freedom. This way of modeling is usually based on arguments and principles from mechanics or physics. In the paper a continuous system and a system with a finite number of degrees of freedom are considered. Both systems are oscillators in a uniform wind field. An attempt is made to answer the question if, on the basis of the behavior of the solutions of the equations of motion of the oscillators, the engineering way of modeling may be understood or justified. (Copyright (c) 1988 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)