Portal de Periódicos da CAPES

On a direct method of analyzing impacting mechanical systems

1986; Elsevier BV; Volume: 108; Issue: 2 Linguagem: Inglês

10.1016/s0022-460x(86)80050-5

1095-8568

Rafał Palej, Józef Nizioł,

Dynamics and Control of Mechanical Systems

The paper presents an analytic method of investigating impacting mechanical systems. The method is based on presentation of impact forces as sequences of Dirac delta functions. Periodic vibrations are described by particular solutions of the equations of motion, resulting from trigonometric expansions of sequences of Dirac distributions. The Fourier form of the solution is avoided by establishing the initial state vector which ensures the occurrence of periodic motion and allows one to determine the solution in a compact form. The infinite series describing elements of the initial state vector are convergent and their sums have been determined. Forced vibrations of the impacting systems are considered for dissipative and conservative systems. The method is illustrated by an example of an impacting system with three degrees of freedom.