Abstract: A method of making a composite laminate having an internally damped constraining layer sandwiched between first and second load-bearing members. The constraining layer and load-bearing members are of a filament reinforced resin matrix, with the gelation temperature of the resin matrices of the constraining layer and load-bearing members being different. During a single cure cycle, the temperature of the assembled unit is increased such that one of the resin matrices hardens first while the other hardens at a later point in time and at a higher temperature, with the process ensuring for an adequate bond between the resin matrices and viscoelastic damping layers positioned on either side of the constraining layer members. The constraining layer members are affixed with gaps between them and a compliant tubing is placed within the gaps.