Vibration Optimization of Laminated Composite Rectangular Plates with General Elastic Edge Restraints

摘要

Although a vast literature dealing with vibration of laminated composite plates exists, few references are found on vibration optimization of the plates which are restrained elastically along the edges. The present paper first presents an efficient method for free vibration of the laminated composite rectangular plates with arbitrary sets of elastic edge restraints. In the analysis, the strain energy caused by the elastic springs is considered along the edges in addition to the classical boundary conditions. The frequency equation is derived by the Ritz method using mode shapes which are the sum of products of the specific power series with the boundary indexes. Using this computationally efficient analysis, the optimum lay-up design problem is solved by applying the layerwise optimization technique to realize the optimum plates with the maximum fundamental frequencies. Numerical results are presented which show the effectiveness of the proposed analysis and the optimum design technique. The experiment is also conducted to show accuracy of the analysis and to discuss the validity of using the mathematical model of the clamped edge.