Abstract
The method of harmonic balance is used to develop approximate analytical solutions to the equations of motion of a single impact pair including a general discussion of the existence and stability of these solutions. Non-linear frequency response characteristics are obtained for a single frequency excitation and primary resonance (no subharmonic or superharmonic response) and the results are validated using an analog computer simulation. It has been found that the use of digital simulation (numerical integration) may lead to inaccurate results over certain frequency ranges. It is also shown that, although the shapes of the force-displacement relationship for clearance non-linearity and the classic cubic non-linearity are similar, the resulting non-linear frequency response curves can be quite different. Various issues related to the clearance non-linearity problem are discussed.
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