Abstract: It is a standard procedure to analyze a flexible vehicle in terms of its vibration frequencies and mode shapes. However, the entire mode shape is not needed per se, but two integrals of the ...

Abstract: This paper studies the controllability and observability of the system Mq̈ + Gq̇ + Kq = Bu , where M is symmetric and positive-definite, G is skew-symmetric and K is symmetric. In all cases, ...

Abstract: Mathematical models of elastic structures have become very sophisticated: given the crucial material properties (mass density and the several elastic moduli), computer-based techniques can be used ...

Abstract: The GHM Method provides viscoelastic finite elements derived from the commonly used elastic finite elements. Moreover, these GHM elements are used directly and conveniently in second-order structural ...

Abstract: Reduced models and reduced controllers for systems governed by matrix-second-order differential equations are obtained by retaining those modes which make the largest contributions to quadratic ...

Abstract: The attitude dynamics and control of flexible spacecraft are more clearly understood if the natural frequencies of oscillation are known for these spacecraft. The influence of stored angular ...

Abstract: This paper builds on the theory of gyroelastic dynamics presented in a recent paper by the authors. An elastic continuum with a continuous distribution of stored angular momentum ( called ...

Abstract: This paper introduces the idea of distributed gyricity , in which each volume element of a continuum possesses an infinitesimal quantity of stored angular momentum. The continuum is also assumed ...