Dynamic behavior of a circular shaft with geometrical nonlinearity and constant spin, subjected to periodic axial load is investigated. The case of parametric combination resonance is studied. Extension of shaft center line is the source of nonlinearity. The shaft has gyroscopic effect and rotary inertia but shear deformation is neglected. The equations of motion are derived by extended Hamilto...

We investigate experimentally the role that the initial temporal profile of ultrashort laser pulses has on the self-focusing dynamics in the anomalous group-velocity dispersion (GVD) regime. We observe that pulse-splitting occurs for super-Gaussian pulses, but not for Gaussian pulses. The splitting does not occur for either pulse shape when the GVD is near-zero. These observations agree with pr...

the collapse of a compression member gives rise to decrease of the load carrying capacity of the member. to perform a nonlinear analysis, in addition to the precritical behavior, the post-critical behavior of the compression member also must be determined. in this study, because of certain advantages of the finite element method, this method has been selected to evaluate the axial load-axial di...

Nonlinear acoustic systems are often described by means of nonlinear maps acting as instantaneous constraints on the solutions of a system of linear differential equations. This description leads to discrete-time models exhibiting noncomputable loops. We present a solution to this computability problem by means of geometrical transformation of the nonlinearities and algebraic transformation of ...

Solution to the problem of fault accommodation in nonlinear and linear dynamic systems is related to constructing the control law which provides full decoupling with respect to fault effects. Special mathematical techniques called algebra of functions complemented by differential geometrical tools are considered to solve the fault decoupling problem. Existing conditions are formulated and calcu...

This paper presents a new extended output depending nonlinear observer normal form. A sufficient geometrical conditions that guarantee a change of coordinates allowing the transformation of a given nonlinear dynamical system into the proposed observer form are given. Throughout this work, it will be showed that, unlike to the existing observer normal forms, this new form enables to design an ob...

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas 2DEG placed in a classically strong magnetic field. The latter leads to a nonlinear current-voltage characteristic at a relatively weak electric field. The origin of the nonlinearity is twofold: the formation of a nonequilibrium electron distribution function and the geometrical resonance in the int...