Damping optimization of viscoelastic laminated sandwich composite structures

Recent developments on the optimization of passive damping for vibration reduction in sandwich structures are presented in this paper, showing the importance of appropriate finite element models associated with gradient based optimizers for computationally efficient damping maximization programs. A new finite element model for anisotropic laminated plate structures with viscoelastic core and laminated anisotropic face layers has been formulated, using a mixed layerwise approach. The complex modulus approach is used for the viscoelastic material behavior, and the dynamic problem is solved in the frequency domain. Constrained optimization is conducted for the maximization of modal loss factors, using gradient based optimization associated with the developed model, and single and multiobjective optimization based on genetic algorithms using an alternative ABAQUS finite element model. The model has been applied successfully and comparative optimal design applications in sandwich structures are presented and discussed.

[1]  C. M. Mota Soares,et al.  Finite Element Model for Hybrid Active-Passive Damping Analysis of Anisotropic Laminated Sandwich Structures , 2010 .

[2]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[3]  José Herskovits,et al.  A two-stage feasible directions algorithm for nonlinear constrained optimization , 1981, Math. Program..

[4]  José Herskovits,et al.  Development of a finite element model for the identification of mechanical and piezoelectric properties through gradient optimisation and experimental vibration data , 2002 .

[5]  C. Sun,et al.  Vibration Damping of Structural Elements , 1995 .

[6]  J. Herskovits Feasible Direction Interior-Point Technique for Nonlinear Optimization , 1998 .

[7]  M. Rao,et al.  Dynamic Analysis and Design of Laminated Composite Beams with Multiple Damping Layers , 1993 .

[8]  D. Sorensen IMPLICITLY RESTARTED ARNOLDI/LANCZOS METHODS FOR LARGE SCALE EIGENVALUE CALCULATIONS , 1996 .

[9]  F. Pourroy,et al.  Optimal Constrained Layer Damping of Beams: Experimental and Numerical Studies , 1995 .

[10]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[11]  A. Baz,et al.  Optimum Design and Control of Active Constrained Layer Damping , 1995 .

[12]  Salim Belouettar,et al.  A Shell Finite Element for Active-Passive Vibration Control of Composite Structures with Piezoelectric and Viscoelastic Layers , 2008 .

[13]  José Herskovits,et al.  Parameter estimation in active plate structures , 2006 .

[14]  B. E. Douglas,et al.  Transverse Compressional Damping in the Vibratory Response of Elastic-Viscoelastic-Elastic Beams. , 1978 .

[15]  M. Yan,et al.  Governing Equations for Vibrating Constrained-Layer Damping Sandwich Plates and Beams , 1972 .

[16]  José Herskovits,et al.  Mathematical programming models and algorithms for engineering design optimization , 2005 .

[17]  M. Leibowitz,et al.  Optimal sandwich beam design for maximum viscoelastic damping , 1987 .

[18]  R. Ditaranto Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams , 1965 .

[19]  A. L. Araújo,et al.  Optimal design of active, passive, and hybrid sandwich structures , 2008, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[20]  Magnus Alvelid Optimal position and shape of applied damping material , 2008 .

[21]  Layne T. Watson,et al.  Improved Genetic Algorithm for the Design of Stiffened Composite Panels , 1994 .

[22]  J. Herskovits,et al.  A feasible directions algorithm for nonlinear complementarity problems and applications in mechanics , 2009 .

[23]  D. Sorensen Implicitly restarted arnoldi/lanczos methods and large scale svd applications , 1995 .

[24]  José Herskovits,et al.  The inverse electromagnetic shaping problem , 2009 .

[25]  A. Smati,et al.  Optimal constrained layer damping with partial coverage , 1992 .

[26]  R. A. S. Moreira,et al.  A generalized layerwise finite element for multi-layer damping treatments , 2006 .

[27]  D. J. Mead,et al.  The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions , 1969 .

[28]  R. A. S. Moreira,et al.  A layerwise model for thin soft core sandwich plates , 2006 .

[29]  Raphael T. Haftka,et al.  Response surface approximation of Pareto optimal front in multi-objective optimization , 2007 .

[30]  L E Reinstein,et al.  A new genetic algorithm technique in optimization of permanent 125I prostate implants. , 1998, Medical physics.

[31]  D. K. Rao,et al.  Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions , 1978 .