The finite element model coupled with the mechanical and electrical response of the solar array with piezoelectric sensors and actuators was presented.The tripod and the joints of the solar array were modeled using the 3D beam element,and the panels of the solar array with piezoelectric sensors and actuators were modeled using the piezoelectric laminated plate element.The multi-point constrained relations have been derived,which can deal with the inconsistent problem of the degree of freedom for the common nodes of the plate element and the 3D beam element.The analysis program of the finite element model has been coded.The negative velocity feedback controller and the linear quadratic regulator (LQR) were employed to investigate their effectiveness in suppressing the vibrations of the smart solar array.Numerical examples on vibration frequencies analysis and the vibration control have been developed.The piezoelectric sensors/actuators will influence the dynamic characteristics of the solar array significantly.The vibration of the smart solar array can be suppressed effectively with LQR controller.