... of the follower force, the generalized function theory is used. Also, Peter’s finite-state unsteady aerodynamic model is considered. The governing equations are obtained using Hamilton’s principle. Furthermore, the Galerkin method is applied to convert the partial differential equations into a set of nonlinear...

... operation will damp out at a very slow rate, dramatically affecting the fatigue life of the turbine. discrete time systems large-scale systems linear systems nonlinear systems parameter estimation partial differential equations signal synthesis time-varying systems wind turbines 23...

...-deflection plate theory. The governing nonlinear partial differential equation for the panel is reduced to a set of ordinary differential equations using a two mode approximation. Distributed piezoelectric actuators and sensors connected to processing networks are used as modal actuators and sensors...

... for solving the fractional cable equation are still in their infancy. Some different numerical methods for solving space or time fractional partial differential equations have been proposed. Liu et al. ( 10 ) proposed a computationally effective method of lines. This method transforms the space fractional...

... dynamical systems partial differential equations PD control pendulums If a dynamical system is given in the form of a system of ordinary differential equations (ODEs) then the continuation of time-periodic motions and their bifurcations can be performed with existing numerical continuation...

... , Basel, Switzerland . 11 03 2009 02 06 2009 18 02 2010 18 02 2010 integral equations partial differential equations telegraphy evolutionary integral equation fractional order derivative telegraph equation Fractional calculus is one of the generalizations...

... in space. Thus, Thales Alenia Space used this architecture to design a deployable telescope (Fig. 1 ) with a 6-DOF control ( 3 ). actuators force numerical analysis partial differential equations 23 07 2007 08 06 2008 11 11 2008 2009 American Society of Mechanical...

... minimization of a functional over a set of admissible control functions subject to dynamic constraints on the state and control variables ( 1 2 ). When the equations governing the dynamics of the system are described by a partial differential equation in terms of space and time variables, the problem...

... chains. Because of Hamel’s original influence, these special Poincaré equations are called the Hamel representations and their usefulness in dynamic simulation and control is investigated. matrix algebra numerical analysis partial differential equations From the beginning, scholars have...

.... Approximate nonlinear partial-differential equations of motion, capturing overall displacement coupling and dynamic extensibility effect, are analytically solved based on a multimode discretization and a second-order multiple scale approach. Bifurcation analyses of both equilibrium and dynamic solutions...

...J. Awrejcewicz; V. Krysko; N. Saveleva Complex vibrations of closed cylindrical shells of circular cross section and finite length subjected to nonuniform sign-changeable external load in the frame of classical nonlinear theory are studied. A transition from partial differential equations...

... by the finite element method. 09 02 2006 01 06 2006 beams (structures) cantilevers finite element analysis partial differential equations adomian decomposition method variable coefficient fourth-order equation In the past, the problems of free vibration of beams and columns...