...B. R. Nana Nbendjo A nonlinear model of inverted pendulum that exhibit unbounded single well φ 6 potential is described. The complete equation for one-dimensional wind-induced sway is derived. The harmonic balance method along with Melnikov theory are used to seek the effects of aerodynamic drag...

...Stefano Lenci; Maurizio Brocchini; Carlo Lorenzoni The rotations of a parametric pendulum fitted onto a suitable floating support and forced to move vertically under the action of water waves have been studied on the basis of a dedicated wave flume laboratory experiment. An extended experimental...

...Takashi Ikeda The nonlinear responses of a single-degree-of-freedom system with two pendulum tuned mass dampers under horizontal sinusoidal excitation are investigated. In the theoretical analysis, van der Pol’s method is applied to determine the expressions for the frequency response curves...

...Jan Sieber; Bernd Krauskopf; David Wagg; Simon Neild; Alicia Gonzalez-Buelga We present an experimental procedure to track periodic orbits through a fold (saddle-node) bifurcation and demonstrate it with a parametrically excited pendulum experiment where the tracking parameter is the amplitude...

... greater than the number of unilateral constraints. The method is demonstrated by applying it to a falling 3D double pendulum. 22 08 2008 23 10 2008 25 08 2009 friction mechanical contact pendulums shear modulus Modeling of unilateral constraints in a system...

...Stefano Lenci; Giuseppe Rega The competing solutions of a planar pendulum parametrically excited by the vertical motion of the pivot are investigated in terms of both attractor robustness and basin integrity. Two different measures are considered to highlight how the integrity of the system...

... , H. , and Shabana , A. A. , “ Convergence of the Finite Element Solution in Extreme Bending Problems ,” in preparation. Figures 8–13 in Ref. 1 contain results of the simulation of a very flexible pendulum. The results presented in this paper are obtained using 4 elements. While...

...J. B. Mogo; P. Woafo This paper considers the dynamics of an electromechanical device with a pendulum arm. Conditions under which the pendulum does not experience a complete rotation are obtained. Various types of nonlinear behaviors including chaos are observed. This work is organized as follows...

...N. J. Peruzzi; J. M. Balthazar; B. R. Pontes; R. M. L. R. F. Brasil In this paper, a loads transportation system in platforms or suspended by cables is considered. It is a monorail device and is modeled as an inverted pendulum built on a car driven by a dc motor. The governing equations of motion...

...John Schmitt The spring loaded inverted pendulum model has been shown to accurately model sagittal plane locomotion for a variety of legged animals and has been used as a target for control for higher dimensional robotic implementations. Tuned appropriately, the model exhibits passively stable...

...Steven W. Shaw; Peter M. Schmitz; Alan G. Haddow This paper describes an analytical and experimental investigation of the dynamic response and performance of a special type of centrifugal pendulum vibration absorber used for reducing torsional vibrations in rotating systems. This absorber has...

...Ashwin Vyas; Anil K. Bajaj The Hamiltonian dynamics of a resonantly excited linear spring-mass-damper system coupled to an array of pendulums is investigated in this study under 1:1:1:…:2 internal resonance between the pendulums and the linear oscillator. To study the small-amplitude global...

...Stefano Lenci; Lucio Demeio; Milena Petrini In this work, we perform a systematic numerical investigation of the nonlinear dynamics of an inverted pendulum between lateral rebounding barriers. Three different families of considerably variable attractors—periodic, chaotic, and rest positions...