Design of damping properties of hybrid laminates through a global optimisation strategy

In this paper a global optimisation technique for the design of damping properties of hybrid elastomer/composite laminates is presented. The goal of the procedure is to maximise the first N modal loss factors of the laminate subject to constraints on the in-plane and out-of-plane stiffness along with a constraint on the weight of the plate. The problem is considered in the most general case: no simplifying hypotheses are made on the behaviour of the hybrid laminate, thus allowing us to consider as design variables the number of layers (both of the elastic and viscoelastic layers), their thickness and orientations as well as the position of the viscoelastic plies within the stacking sequence. The proposed approach relies on one hand, upon the dynamic response of the structure in terms of natural undamped frequencies and modal loss factors which are evaluated using the well-known Iterative Modal Strain Energy (IMSE) method, and on the other hand on the use of genetic algorithms as optimisation tool to perform the solution’s search. As an example, the method is applied to a rectangular plate and the results demonstrate the effectiveness of the proposed strategy.

[1]  Andris Chate,et al.  Finite element analysis of damping the vibrations of laminated composites , 1993 .

[2]  Hualing Chen,et al.  A study on the damping characteristics of laminated composites with integral viscoelastic layers , 2006 .

[3]  E. Verron,et al.  Simultaneous geometrical and material optimal design of hybrid elastomer/composite sandwich plates , 2011 .

[4]  R. Moreira,et al.  Viscoelastic Damping Technologies-Part I: Modeling and Finite Element Implementation ⋆ , 2010 .

[5]  Roger Lundén,et al.  Optimum distribution of additive damping for vibrating beams , 1979 .

[6]  Angela Vincenti,et al.  BIANCA: a genetic algorithm to solve hard combinatorial optimisation problems in engineering , 2010, J. Glob. Optim..

[7]  D.I.G. Jones,et al.  Temperature-frequency dependence of dynamic properties of damping materials , 1974 .

[8]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[9]  Marco Montemurro,et al.  A Two-Level Procedure for the Global Optimum Design of Composite Modular Structures—Application to the Design of an Aircraft Wing , 2012, J. Optim. Theory Appl..

[10]  Raghu Echempati,et al.  Dynamic analysis and damping of composite structures embedded with viscoelastic layers , 1997 .

[11]  J. Berthelot,et al.  Damping analysis of composite materials and structures , 2008 .

[12]  Roberto Frias,et al.  Viscoelastic Damping Technologies-Part II: Experimental Identification Procedure and Validation , 2010 .

[13]  In Lee,et al.  Vibration and Damping Analysis of Laminated Plates with Fully and Partially Covered Damping Layers , 2000 .

[14]  Lien-Wen Chen,et al.  Vibration and damping analysis of annular plates with constrained damping layer treatments , 2003 .

[15]  Yi-Cheng Chen,et al.  An optimal placement of CLD treatment for vibration suppression of plates , 2002 .

[16]  Mustafa Yaman,et al.  Finite element vibration analysis of a partially covered cantilever beam with concentrated tip mass , 2006 .

[17]  B. C. Nakra,et al.  OPTIMUM DESIGN OF VISCOELASTICALLY DAMPED SANDWICH PANELS , 1983 .

[18]  Kim Lau Nielsen,et al.  Numerical studies of shear damped composite beams using a constrained damping layer , 2008 .

[19]  Kshitij Gupta,et al.  Damping studies in fiber-reinforced composites : a review , 1999 .

[20]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[21]  B. Jang,et al.  A study on material damping of 0° laminated composite sandwich cantilever beams with a viscoelastic layer , 2003 .

[22]  J. Berthelot,et al.  Damping analysis of laminated beams and plates using the Ritz method , 2006 .

[23]  B. C. Nakra.  VIBRATION CONTROL IN MACHINES AND STRUCTURES USING VISCOELASTIC DAMPING , 1998 .

[24]  Marco Montemurro,et al.  A Two-Level Procedure for the Global Optimum Design of Composite Modular Structures—Application to the Design of an Aircraft Wing , 2012, J. Optim. Theory Appl..

[25]  George A. Lesieutre,et al.  A discrete layer beam finite element for the dynamic analysis of composite sandwich beams with integral damping layers , 1999 .

[26]  Olivier Polit,et al.  Flexural loss factors of sandwich and laminated composite beams using linear and nonlinear dynamic analysis , 1999 .

[27]  Toshihiko Asami,et al.  Damping properties of thermoplastic-elastomer interleaved carbon fiber-reinforced epoxy composites , 2004 .