Tim_Lou Posted March 14, 2005 Report Share Posted March 14, 2005 is there any exact expression of the period of nonlinear and nondamped pendulum?like some forms of infinite series or integrals? Link to comment Share on other sites More sharing options...
Qfwfq Posted March 15, 2005 Report Share Posted March 15, 2005 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. Link to comment Share on other sites More sharing options...
Tim_Lou Posted March 15, 2005 Author Report Share Posted March 15, 2005 oh, i found it, its some sort of "elliptic integrals" .... thx anyway. Link to comment Share on other sites More sharing options...
C1ay Posted March 16, 2005 Report Share Posted March 16, 2005 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. Link to comment Share on other sites More sharing options...
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