To realize vibration control of instrument board in spacecraft apparatus cabin
a finite element model of instrument board with Kagome sandwich plate is constructed
a kind of cylindrical viscoelastic damper is chosen and the corresponding model is established following the Biot model. In every modal the ratio of modal strain energy in Kagome truss to the whole one in structure is calculated as the degree of modal controllability
which is combined with modal displacement in given loads to determine the modals ought to be controlled. And a damper placement scheme of multi-modal control is proposed according to the fraction of modal strain energy. Eigenvalue analysis and numerical simulation in time domain response show that a few dampers enable to significantly increase the damping ratios of the controlled modals in a broad bandwidth and the vibration in other modals is also suppressed to a certain extent.
ZHANG Xinong, LI Zhiming. Experimental study on vibration control for instrument board of apparatus cabin of launch vehicle [J]. Journal of Astronautics, 2001, 23(1): 76-78.
DOS SANTOS E LUCATO S L, WANG J, MAXWELL P, et al. Design and demonstration of a high authority shape morphing structure [J]. International Journal of Solids and Structures, 2004, 41(13): 3521-3543.
GUO Xu, JIANG Jun. Passive vibration control of truss-cored sandwich plate with planar Kagome truss as one face plane [J]. Science China: Technological Sciences, 2011, 54(5): 1113-1120.
JOHNSON C D, KIENHOLZ D A. Finite element prediction of damping in structures with constrained viscoelastic layers [J]. AIAA Journal, 1982, 20(9): 1284-1290.
GOLLA D F, HUGHES P C. Dynamics of viscoelastic structures: a time domain finite element formulation [J]. Journal of Applied Mechanics, 1985, 52(12): 897-906.
ZHANG J, ZHENG G T. The Biot model and its application in viscoelastic composite structures [J]. Journal of Vibration and Acoustics, 2007, 129(5): 533-540.
CHEN G S, BRUNO R J, SALAMA M. Optimal placement of active/passive members in truss structures using simulated annealing [J].AIAA Journal, 1991, 29(8): 1327-1334.
BISHOP J A, STRIZ A G. On using genetic algorithms for optimum damper placement in space trusses [J]. Structural Multidisciplinary Optimization, 2004, 28(2/3): 136-145.
PREUMONT A, DUFOUR J P, MALEKIAN C. Active damping by a local force feedback with piezoelectric actuators [J]. Journal of Guidance Control and Dynamics, 1991, 15(2): 1879-1887.