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A Generalized Ritz Method and Its Application to Certain Nonlinear System Problems

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Using the Ritz method (or Principle of Harmonic Balance), equations relating amplitude and phase to system parameters and driving function parameters are developed for an equation of the form x + 2wcoog(i) + w4f(x) = A cos wt, where g and f are monotonically increasing. The object of the development is to show the analogy to the linear case, and hence to extend the students' intuition for linear second-order systems to the above-mentioned class of nonlinear second-order systems.

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Education, IEEE Transactions on  (Volume:9 ,  Issue: 1 )