PERFORMANCE OF PENDULUM ABSORBER FOR A NON-LINEAR SYSTEM OF VARYING ORIENTATION

Pendulum-type vibration absorbers are used extensively in engineering. These devices are particularly useful in practical applications where oscillations of a structure are to be constrained within a prescribed envelope. In this study, the primary structure under investigation consists of a flexible beam with a tip mass. The primary structure has a single degree of freedom and is subjected to vertical sinusoidal excitation at its base. Non-linearity in the primary structure is due to large deflections. The rotation point of the pendulum-type absorber is connected to the primary structure's tip mass. Together, the primary structure and absorber constitute a coupled system with two degrees of freedom. The motivation for study was the need to understand the effectiveness of passive vibration absorbers on structures that change their orientation, e.g., satellites. The primary objective is to assess the effectiveness of pendulum-type passive vibration absorber attached to a primary structure whose orientation varies. The orientations are at five degree increments about a vertical plane. In this study the orientation at which the absorber is effective is established and the factors that affect performance of the absorber are highlighted.

[1]  Jian-Qiao Sun,et al.  Passive, Adaptive and Active Tuned Vibration Absorbers—A Survey , 1995 .

[2]  Albert Libchaber,et al.  Quasi-Periodicity and Dynamical Systems: An Experimentalist's View , 1988 .

[3]  J. Shaw,et al.  On the response of the non-linear vibration absorber , 1989 .

[4]  A. Ertas,et al.  Dynamics and bifurcations of a coupled column-pendulum oscillator , 1995 .

[5]  J. D. Farmer,et al.  State space reconstruction in the presence of noise" Physica D , 1991 .

[6]  A. Ertas,et al.  Experimental Evidence of Quasiperiodicity and Its Breakdown in the Column-Pendulum Oscillator , 1995 .

[7]  A. Tondl VIBRATION QUENCHING OF AN EXTERNALLY EXCITED SYSTEM BY MEANS OF DYNAMIC ABSORBER , 1998 .

[8]  Jon R. Pratt,et al.  A Nonlinear Vibration Absorber for Flexible Structures , 1998 .

[9]  J. McLaughlin Period-doubling bifurcations and chaotic motion for a parametrically forced pendulum , 1981 .

[10]  B. G. Korenev Dynamic vibration absorbers , 1993 .

[11]  A. Ertas,et al.  Real-time response of the simple pendulum: An experimental technique , 1992 .

[12]  Ali H. Nayfeh,et al.  Energy Transfer from High-Frequency to Low-Frequency Modes in Structures , 1995 .

[13]  A. N. Sharkovskiĭ Dynamic systems and turbulence , 1989 .

[14]  H. Sprysl Internal resonance of non-linear autonomous vibrating systems with two degrees of freedom , 1987 .

[15]  F. Takens Detecting strange attractors in turbulence , 1981 .

[16]  A. H. Nayfeh,et al.  The Non-Linear Response of a Slender Beam Carrying a Lumped Mass to a Principal Parametric Excitation: Theory and Experiment , 1989 .

[17]  F. Takens,et al.  Occurrence of strange AxiomA attractors near quasi periodic flows onTm,m≧3 , 1978 .

[18]  A. Ertas,et al.  Pendulum as Vibration Absorber for Flexible Structures: Experiments and Theory , 1996 .

[19]  Steven H. Strogatz,et al.  Nonlinear Dynamics and Chaos , 2024 .

[20]  Celso Grebogi,et al.  Chaotic attractors on a 3-torus, and torus break-up , 1989 .