There are many methods to solve a nonlinear pendulum. The appoximate solution with high precision is deri vated by using a simple method in this paper.
Some solutions of the motion of a nonlinear simple pendulum are obtained using Jacobi elliptic function under certain conditions by the help of numerical analysis and phase pattern drawed by Matlab.
There are many methods to solve a nonlinear pendulum. The appoximate solution with high precision is deri vated by using a simple method in this paper.
Numerical calculation examples, such as non linear single pendulum equation, Duffing equation, van der Pol equation and two degree of freedom non linear spring pendulum, are presented by using the presented method. The higher calculation precision and efficiency of this method are demonstrated through comparing the results given in literatures.
This paper offers the numerical solution for the simple pendulum equation by C++ language, and draws the vibration curves asweuas phase diagrams based on the calculation results of the program, also quantitatively studies the relationship between the vibration period and amplitude.
On the differential equation of motion of a simple pendulum, the analytic solution of damped linear oscillation and numerical solntion of free nonlinear vibration or damped nonlinear oscillation are obtained;
The characteristics of the friction on the camshaft are analyzed using the nonlinear pendulum experiment, while the parameters of the friction model are estimated using the optimization technique.
We employ nonsmooth transformations of the independent coordinate to analytically construct families of strongly nonlinear periodic solutions of the harmonically forced nonlinear pendulum.
The present contributiondiscusses the experimental analysis of a nonlinear pendulum, consideringstate space reconstruction, frequency domain analysis and thedetermination of dynamical invariants, Lyapunov exponents and attractordimension.