We investigate a variation of the simple double pendulum in which the two point masses are replaced by square plates. The double square pendulum exhibits richer behavior than the simple double pendulum and provides a convenient demonstration of nonlinear dynamics and chaos. It is also an example of an asymmetric compound double pendulum, which has not been studied in detail. We obtain the equil...

For double inverted pendulum multivariable, strong coupling and nonlinear proposed adaptive fuzzy neural inference system (ANFIS) is applied inverted pendulum stabilization control process. Adaptive control algorithm, fully able to meet the requirements of double inverted pendulum control, ANFIS system after training, will be applied to the inverted pendulum system controller has better control...

To understand the mechanism allowing for long-term storage of excess energy in proteins, we study a Hamiltonian system consisting of several coupled pendula in partial contact with a heat bath. It is found that energy absorption and storage are possible when the motion of each pendulum switches between oscillatory (vibrational) and rotational modes. The relevance of our mechanism to protein mot...

Student-Friendly Precision Pendulum Germany (latitude 52 N → 981,274) in the early part of this century. With the information provided in this article, students should be able to easily measure the gravitational field strength to a few parts in 10,000, a degree of precision one to two orders of magnitude better than can be achieved with the usual simple pendulum under comparable conditions. The...

This paper describes the application of the first fully wireless network of inertial sensors for full-body 3-D motion capture – the Orient-2 system, to real-time on-body analysis of the golf swing. The golfer-club system is modelled as a double pendulum. The factors which affect the efficiency of the golf swing are outlined, such as the length of the back swing, the wrist-cock angle, swing plan...

Abstract. We provide sufficient conditions for the existence of periodic solutions of the planar perturbed double pendulum with small oscillations having equations of motion θ̈1 = −2aθ1 + aθ2 + εF1(t, θ1, θ̇1, θ2, θ̇2), θ̈2 = 2aθ1 − 2aθ2 + εF2(t, θ1, θ̇1, θ2, θ̇2), where a and ε are real parameters. The two masses of the unperturbed double pendulum are equal, and its two stems have the same length l....

Physical systems can be described in many ways, one of the most significant is by their Hamiltonian function, an equation for the energy of a system. This formulation gave rise to Liouville’s theorem, a theorem about reversibility in classical systems. This project will explore the meaning of this theorem through visualizations of phase space, the set of possible states for a system, and numeri...

This paper extends the λ-method, which was developed in (Auckly et al., 2000; Auckly and Kapitanski, 2003) to solve effectively PDE’s involved in the method of controlled Lagrangian systems, by taking into account a gyroscopic term. The gyroscopic force provides more free parameters when one designs stabilizing controllers in the method of controlled Lagrangian systems. We illustrate the extend...

In this paper a stability problem for double pendulum is discussed. A damping device of passive type is used to stabilize small free oscillations of perturbed system. The simplified approach is suggested to prove the asymptotic stability of equilibrium.