Nomenclature= payload member force vector : payload force vector = higher and lower frequency, respectively = I 1 , defined by Eqs. (10) and (11) -stiffness matrix of element e •ayload stiffness matrix°} , denned by Eqs. (10) and (11) payload mass matrix generalized coordinate vectors defined by Eqs. (20), (17), and (16), respectively interface reaction force vector booster matrix defined analogously to [S P ] noninterface portion of payload constraint mode matrix; defined by Eq. (9) 'S B ] •M L/r matrix of booster constraint modes = payload displacement to element displacement transformation matrix for element e --matrix of payload constraint modes = vector of displacement coordinates = perturbation matrix expansion coefficients defined by Eq. (40) = perturbation parameter employed in Eqs. (35) and (36) = matrix of free-interface booster normal modes = matrix of residual attachment modes defined by Eq. (28) = matrix of interface normal modes based on the interface portions of Eq. (15); also, interface portion of [ B ] = matrix of fixed-interface normal modes Superscripts and Subscripts B 9 P= booster and payload, respectively F, R " -response due to external forces and payload feedback, respectively I,N = interface and noninterface, respectively