in this paper coupled nonlinear equations of motion of a suspended cable with time dependent tension and velocity are derived by using hamilton’s principal. a modal analysis for a stationary sagged cable is initially carried out in order to identify the dynamic system. the natural solution is directed to compute the natural frequencies and mode shapes of the free vibration of a suspended cable....

This paper describes dynamic analysis using proposed fast finite element method for a shock absorbing structure including a sponge. The structure is supported by nonlinear concentrated springs. The restoring force of the spring has cubic nonlinearity and linear hysteresis damping. To calculate damping properties for the structures including elastic body and porous body, displacement vectors as ...

We present a nonlinear formulation in modal coordinates of the equations of motion of a flexible aircraft. It relies on the projection of the intrinsic equations of geometrically-nonlinear composite beams on the linear normal modes at a reference condition, which are coupled with 2D unsteady aerodynamics. The resulting description is suitable for nonlinear dynamic analysis and control design, w...

From a theoretical perspective, this paper develops a systematic approach to analyze the transient characteristics of the low-voltage ride-through (LVRT) in three-phase grid-connected converter with LCL filter by using the nonlinear modal series method. Firstly, the mathematical model and the corresponding second order modal series model of the system are described. And then, the simulation res...

The local stability of a nonlinear dynamical system at an equilibrium point with a pair of purely imaginary eigenvalues can be assessed through the computation of a cubic Hopf normal form coefficient, assuming the remaining eigenvalues have negative real parts. In this paper, a modal decomposition of the Hopf coefficient is proved. The decomposition provides a new methodology for analyzing the ...