... 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...

... 2011 discrete time systems large-scale systems linear systems nonlinear systems parameter estimation partial differential equations signal synthesis time-varying systems wind turbines An important aspect of the dynamic response of wind turbines and other flexible rotating systems...

...-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...

... Liouville equation neural nets neurophysiology partial differential equations During the past three decades, the concept of fractional calculus (that is, the calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance due to its...

... 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...

... 02 06 2009 18 02 2010 18 02 2010 integral equations partial differential equations telegraphy evolutionary integral equation fractional order derivative telegraph equation Suspension flows are traditionally modeled by parabolic partial differential equations ( 8...

... ). 23 07 2007 08 06 2008 11 11 2008 actuators force numerical analysis partial differential equations Parallel manipulators provide several advantages over serial architectures such as greater load carrying capability and high stiffness. An exhaustive overview of different...

... . 23 05 2007 28 09 2007 04 02 2008 distributed control eigenvalues and eigenfunctions multidimensional systems optimal control partial differential equations Volterra equations Optimum control problems require minimization of a functional over a set of admissible control...

... was used to numerically integrate the two-link system. 08 12 2005 16 04 2007 matrix algebra numerical analysis partial differential equations From the beginning, scholars have sought transformations that simplify the governing equations of motion of mechanical systems...

.... 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...

... that the proposed method may be used for the problem in which the axial load is taken into account. beams (structures) cantilevers finite element analysis partial differential equations adomian decomposition method variable coefficient fourth-order equation In the past, the problems of free...