Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment

In light weight structure design, vibration control is necessary to meet strict stability requirements and to improve the fatigue life of structural components. Due to ever-increasing demands on products, it is generally more convenient to include vibration prerequisites in a design process instead of using vibration control devices on fixed designs. One of the main difficulties associated to design optimization of complex and/or large structures is the numerous computationally demanding Finite Element (FE) calculations. The objective of this research is to present a novel strategy for efficient and accurate optimization of vibration characteristics of structures. In the proposed strategy, a sub-structuring method is utilized. The FE model of the complete structure is partitioned, reduced and then reassembled. This increases the computational efficiency of dynamic analyses. Moreover, this method is coupled with a novel reanalysis technique to speed up the repeated structural analyses. These methods are finally embedded in a surrogate-based design optimization procedure. An academic test problem is used for the validation of this novel approach.

[1]  Damijan Markovic,et al.  Reduction of substructural interface degrees of freedom in flexibility‐based component mode synthesis , 2007 .

[2]  Uri Kirsch Efficient sensitivity analysis for structural optimization , 1994 .

[3]  F. van Keulen,et al.  Framework for sequential approximate optimization , 2004 .

[4]  Uri Kirsch,et al.  Procedures for approximate eigenproblem reanalysis of structures , 2004 .

[5]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[6]  M. H. M. Ellenbroek,et al.  An optimization method for dynamics of structures with repetitive component patterns , 2009 .

[7]  Uri Kirsch,et al.  Design-Oriented Analysis of Structures: A Unified Approach , 2002 .

[8]  R. L. Goldman,et al.  Vibration analysis by dynamic partitioning. , 1969 .

[9]  R. Haftka,et al.  Review of options for structural design sensitivity analysis. Part 1: Linear systems , 2005 .

[10]  Donald R. Jones,et al.  Efficient Global Optimization of Expensive Black-Box Functions , 1998, J. Glob. Optim..

[11]  George I. N. Rozvany,et al.  optimization of large structural systems , 1990 .

[12]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[13]  W. A. Benfield,et al.  Vibration Analysis of Structures by Component Mode Substitution , 1971 .

[14]  Daniel Rixen,et al.  Dynamic Reanalysis and Component Mode Synthesis to Improve Aircraft Modeling for Loads Calculation , 2007 .

[15]  Scott Cogan,et al.  SELECTING A RITZ BASIS FOR THE REANALYSIS OF THE FREQUENCY RESPONSE FUNCTIONS OF MODIFIED STRUCTURES , 1997 .

[16]  R. Macneal A hybrid method of component mode synthesis , 1971 .

[17]  P. Hajela,et al.  Applications of artificial neural nets in structural mechanics , 1992 .

[18]  Harry H. West,et al.  Analysis of structures , 1988 .

[19]  A. J. Booker,et al.  A rigorous framework for optimization of expensive functions by surrogates , 1998 .

[20]  W. Hurty Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[21]  D. Akcay Perdahcioglu,et al.  Updating the Craig–Bampton reduction basis for efficient structural reanalysis , 2011 .

[22]  D. Rixen A dual Craig-Bampton method for dynamic substructuring , 2004 .

[23]  David J. C. MacKay,et al.  A Practical Bayesian Framework for Backpropagation Networks , 1992, Neural Computation.

[24]  Raphael T. Haftka,et al.  Surrogate-based Analysis and Optimization , 2005 .

[25]  Uri Kirsch Reanalysis of Structures: A Unified Approach for Linear, Nonlinear, Static and Dynamic Systems , 2008 .

[26]  Noureddine Bouhaddi,et al.  Component mode synthesis (CMS) based on an enriched ritz approach for efficient structural optimization , 2006 .

[27]  S. Rubin Improved Component-Mode Representation for Structural Dynamic Analysis , 1975 .

[28]  C. Farhat,et al.  Coupled Analytical Sensitivity Analysis and Optimization of Three-Dimensional Nonlinear Aeroelastic Systems , 2001 .