The optimal design of a dynamic absorber for an arbitrary planar structure

✍ Scribed by Y.Z. Wang; K.S. Wang

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 533 KB
• Volume: 23
• Category: Article
• ISSN: 0003-682X
• DOI: 10.1016/0003-682x(88)90009-6

✦ Synopsis

The optimal absorber design for a randomly excited planar structure is presented in this paper. The Lagrange equations are derived with generalized coordinates. The transfer functions in closed form are obtained thereafter. Based on the band-limited whitenoise excitation, the optimum tuning and damping ratios of the absorber are determined by minimizing the variance of the response of the structure. For simplicity, square-shaped, plane-frame structures are studied in numerical examples. The effects on the design parameters of the mass ratio of the absorber to the structure, the position of the absorber, and the position of the applied force are studied extensively.

NOTATION

F, Fo H(o,)

L/h M^,M, SF(O~), S~(O~) u,0 uo cA external harmonic excitation and its amplitude, respectively transfer function length to width ratio of the frame elements mass of the absorber and frame structure, respectively power spectral densities of excitation and response, respectively displacement and velocity of absorber amplitude of U displacement of frame at point (x~, y j) damping factor of absorber 85