PENGGUNAAN TEKNIK APROKSIMASI (METAMODELING) UNTUK MENYEDERHANAKAN MODEL ELEMEN HINGGA DALAM PROSES OPTIMASI

Complex modelling using Finite element method in iterative optimisation process often yield expensive computation. One of the solution is to replace the expensive finite element analysis with a mathematically simpler model, that is using an approximate relations (Metamodel). Here, the approach is used to characterise the mechanical properties of an anisotropic plate from their corresponding natural frequencies. Radial basis functions model has been chosen for the Metamodel to approximate the finite element model generated in ANSYS 6.1 software. Characterisation process is regarded as an optimisation problem with the objective is to minimise the accumulation of differences between the target frequencies and the updated ones. The use of Metamodel shorten the computation time as well as increase the likelihood of reaching the global minimum. In general, the overall result is reasonably good to predict the mechanical properties of anisotropic plates.

[1]  A. Olsson,et al.  On Latin Hypercube Sampling for Stochastic Finite Element Analysis , 1999 .

[2]  Per S. Frederiksen,et al.  Experimental Procedure and Results for the Identification of Elastic Constants of Thick Orthotropic Plates , 1997 .

[3]  T. Simpson,et al.  Computationally Inexpensive Metamodel Assessment Strategies , 2002 .

[4]  S. Russenschuck,et al.  An improved method using radial basis function neural networks to speed up optimization algorithms , 2002 .

[5]  P. Pedersen,et al.  Identification of orthotropic material moduli by a combined experimental/numerical method , 1992 .

[6]  W. P. De Wilde,et al.  Anisotropic Material Identification Using Measured Resonant Frequencies of Rectangular Composite Plates , 1987 .

[7]  Emmanuel Ayorinde,et al.  Elastic constants of orthotropic composite materials using plate resonance frequencies, classical lamination theory and an optimized three-mode rayleigh formulation , 1993 .

[8]  T. Simpson,et al.  Comparative studies of metamodelling techniques under multiple modelling criteria , 2001 .

[9]  J. Mark Introduction to radial basis function networks , 1996 .

[10]  V. Papazoglou,et al.  A non-destructive evaluation of the material properties of a composite laminated plate , 1996 .

[11]  Ronald F. Gibson,et al.  Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique , 1988 .

[12]  Per S. Frederiksen,et al.  Numerical studies for the identification of orthotropic elastic constants of thick plates , 1997 .

[13]  J. Kleijnen Statistical tools for simulation practitioners , 1986 .

[14]  W. P. De Wilde,et al.  Identification of the damping properties of orthotropic composite materials using a mixed numerical experimental method , 1997 .

[15]  Raphael T. Haftka,et al.  Response surface approximations for structural optimization , 1996 .

[16]  Carl Tim Kelley,et al.  Iterative methods for optimization , 1999, Frontiers in applied mathematics.

[17]  Rachman Setiawan Composite plate mechanical characterisation through dynamic tests , 2004 .