On the analysis of discontinuous systems

An effective procedure, employing an operational approach, is demonstrated for the analysis of constant parameter continuous systems with multiple lumped parameter attachments and concentrated forces. Convenience of the method and of the form in which the results are obtained are evaluated in comparison with other applicable methods. Systems with piecewise constant parameters are also investigated. The desirability of obtaining a complete closed-form steady-state solution and various methods of obtaining it are examined. Finally, an example is treated which illustrates the application of the operational method to system with jump discontinuities in deflection and slope.