A model reduction technique suggested in the above paper' is discnssed. Although the proposed method is very simple and devoid of any tedious calculations it is shown that the applicability of the technique is restricted. For t h e cases for which the procedure works the redaced order model matches the low-frequency response rather poorly. Tke proposed method is thus not suitable for the analys...

Reduction theory for mechanical systems with symmetry has its roots in the classical works in mechanics of Euler, Jacobi, Lagrange, Hamilton, Routh, Poincaré, and others. The modern vision of mechanics includes, besides the traditional mechanics of particles and rigid bodies, field theories such as electromagnetism, fluid mechanics, plasma physics, solid mechanics as well as quantum mechanics, ...

There is a well known principle in classical mechanic stating that variational problem independent of configuration space variable w (so called cyclic variable), but dependent on its velocity w' can be expressed without both and w'. This as the Routh reduction. In this paper, we start to develop purely geometric approach We do not limit ourselves rather special problems mechanics certain sense ...

The main objective of this paper is to investigate the robust control aspect of chaotic and uncertain system. The robust stability analysis of closed loop attitude control system of an aircraft is presented using the Kharitonov theorem. The proposed technique for examining the robust stability of chaotic polynomial is efficient and expeditious one as the onerous application of Routh stability c...

During the past two decades, an improved understanding of the operative particle deformation mechanisms during latex film formation has been gained. For a particular colloidal dispersion, the Routh-Russel deformation maps predict the dominant mechanism for particle deformation under a particular set of conditions (evaporation rate, temperature, and initial film thickness). Although qualitative ...