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Structural Engineering and Mechanics   Volume 7, Number 5, May 1999, pages 447-456
DOI: http://dx.doi.org/10.12989/sem.1999.7.5.447
 
Simultaneously evolutionary optimization of several natural frequencies of a two dimensional structure
Zhao CB, Steven GP, Xie YM

 
Abstract     [Full Text]
    This paper presents a solution method, which can be regarded as the further extension of the generalized evolutionary method (Zhao et al. 1998a), for the simultaneous optimization of several different natural frequencies of a structure in general and a two dimensional structure in particular. The main function of the present method is to optimize the topology of a structure so as to simultaneously make several different natural frequencies of interest to be of the corresponding different desired values for the target structure. In order to develop the present method, the new contribution factor of an element is proposed to consider the contribution of an element to the gaps between the currently calculated values for the different natural frequencies of interest and their corresponding desired values in a weighted manner. Using this new contribution factor of an element, the most inefficiently used material can be detected and removed gradually from the design domain of a structure. Through applying the present method to optimize two and three different natural frequencies of a two dimensional structure, it has been demonstrated that it is possible and applicable to use the generalized evolutionary method for tackling the simultaneous optimization of several different natural frequencies of a structure in the structural design.
 
Key Words
    simultaneous optimization, several natural frequencies, generalized evolutionary method
 
Address
Zhao CB, CSIRO, Div Explorat & Min, POB 437, Nedlands, WA 6009, Australia
CSIRO, Div Explorat & Min, Nedlands, WA 6009, Australia
Univ Sydney, Fac Engn, Finite Element Anal Res Ctr, Sydney, NSW 2006, Australia
Victoria Univ Technol, Dept Civil & Bldg Engn, MCMC, Melbourne, Vic 8001, Australia
 

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