In this paper the problems of state estimation, tracking control and shape control in a micro-cantilever beam with nonlinear electrostatic actuation are investigated. The system’s partial differential equation of motion is converted into a set of ordinary differential equations by projection method. Observabillity of the system is proven and a state estimation system is designed using extended ...

in this paper, pile behavior embedded in layered soil deposits subjected to seismic loadings is analyzed using a nonlinear fiber element for simulation of soil – pile interactions. in the created model, both pile and surrounding soil are modeled using fiber elements in a practical beam on nonlinear winkler foundation (bnwf) concept. herein, the features of drain–3dx finite element software are ...

The walking beam furnace (WBF) plays a critical role in a steel production factory, and has complex nonlinear dynamic behaviour. Thus, using the conventional physical principles to build a model of the process leads to a time-consuming modeling procedure and when the number of operating set-points in walking beam furnace increases the conventional modeling problem difficultly will be solved, in...

this paper describes experimental and numerical investigations on two specimens of frames composed of steel reinforced concrete beam and angle-steel concrete column under horizontal low cyclic loading. based on the test results, the relationship curves of the horizontal load-displacement and the failure modes are acquired. meanwhile the hysteretic behaviors, skeleton curves, stiffness degradati...

The nonlinear electrostatic pull-in behaviour of MEMS Switches in micro-electromechanical systems (MEMS) is investigated in this article. We used the distributed model when the electrostatic pressure didn’t apply at the whole of the beam and applied only in the mid-part of the beam. In this part the electrostatic area is different from two other parts. The model uses Euler-Bernoulli beam theory...

Abstract The ball and beam system is one of the most popular laboratory experiments for control education. There are two problems for ball and beam control: (1) many laboratories use simple controllers such as PD control, but theory analysis is based on linear models, and (2) nonlinear controllers for the ball and beam system have good theory results, but they are seldom used in laboratories. L...

Assembling nonlinear dynamic models of structures is the goal of numerous research and development organizations. Such a predictive capability is required in the development of advanced, high-performance aircraft structures. Specifically, the ability to predict the response of complex structures to aero-acoustic loading has long been a United States Air Force goal. Sonic fatigue has plagued the...

In recent experiments investigating the nonlinear interaction between light and nematic liquid crystals, Braun et al. (1993) observed complex optical beam structures that were generated by the strong self-focussing of laser light. For a simplified partial differential equation (PDE) model which captures the essential coupling between optical refraction and nematic deformation, we demonstrate tw...

This paper contains results about the existence, uniqueness and stability of solutions for damped nonlinear extensible beam equation \begin{document}$ u_{tt}+\Delta ^2u-M(\|\nabla u(t)\|^2)\Delta u+\|\Delta u(t)\|^{2\alpha}\,|u_t|^{\gamma}u_t = 0\ \mbox{ in } \ \Omega \times \mathbb{R}^+, $\end{document} where $ \alpha>0 $, \gamma\ge 0 \Omega\subset \mathbb{R}^n is a bounded domain with smoo...