Active control of parametrically excited systems
نویسندگان
چکیده
منابع مشابه
Order Reduction of Parametrically Excited Linear and Nonlinear Structural Systems
Order reduction of parametrically excited linear and nonlinear structural systems represented by a set of second order equations is considered. First, the system is converted into a second order system with time invariant linear system matrices and (for nonlinear systems) periodically modulated nonlinearities via the Lyapunov-Floquet transformation. Then a master-slave separation of degrees of ...
متن کاملParametrically excited non-linear systems: a comparison of two methods
Subharmonic resonance of two-degree-of-freedom systems with cubic nonlinearities to multifrequency parametric excitations in the presence of three-to-one internal resonance is investigated. Two approximate methods (the multiple scales and the generalized synchronization) are used to construct a first-order nonlinear ordinary differential equations governing the modulation of the amplitudes and ...
متن کاملOrder Reduction of Parametrically Excited Nonlinear Systems: Techniques and Applications
The basic problem of order reduction of nonlinear systems with time periodic coefficients is considered in state space and in direct second order (structural) form. In state space order reduction methods, the equations of motion are expressed as a set of first order equations and transformed using the Lyapunov–Floquet (L–F) transformation such that the linear parts of new set of equations are t...
متن کاملControl of spatiotemporal disorder in parametrically excited surface waves.
Interacting surface waves, parametrically excited by two commensurate frequencies, yield a number of nonlinear states. Near the system's bicritical point, a state, highly disordered in space and time, results from competition between nonlinear states. Experimentally, this disordered state can be rapidly stabilized to a variety of nonlinear states via open-loop control with a small-amplitude thi...
متن کاملParametrically Excited Non-linear Systems: a Comparison of Certain Methods
This paper is concerned with bifurcation and stability problems of non-linear systems. The attention is focused on parametrically excited non-linear vibrations. A comparison of C—L method with IHB technique is given on the study of local bifurcations. It is shown that the two methods give qualitatively equivalent bifurcation diagrams. ( 1998 Elsevier Science Ltd. All rights reserved
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ژورنال
عنوان ژورنال: Journal of Intelligent Material Systems and Structures
سال: 2015
ISSN: 1045-389X,1530-8138
DOI: 10.1177/1045389x15588625