Period of nonlinear and nondamped pendulum?

[Tim_Lou]

is there any exact expression of the period of nonlinear and nondamped pendulum?

like some forms of infinite series or integrals?

[Qfwfq]

If the potential is given by a function that can be written as a power series, write the general solution as a power series too, apply the dynamic equations to it and work out its coefficients. For some forms of the potential function, you might find a rule of some kind for the coefficients of the solution. How to work out the period would depend on what you find. The details depend on the specific case.

 

Try, and hope for the best... B)

 

P. S. Don't expect to get a fixed period, independent of the oscillation, that's a special property of the harmonic oscillator.

[Tim_Lou]

oh, i found it, its some sort of "elliptic integrals" .... thx anyway.

[C1ay]

is there any exact expression of the period of nonlinear and nondamped pendulum?

like some forms of infinite series or integrals?

 

Pendulums are covered pretty well here.