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Solutions to shape and topology eigenvalue optimization problems using a homogenization method (1992)

Díaaz, Alejandro R. ; Kikuchi, Noboru

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 35 (1992), S. 1487-1502

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: A solution strategy to find the shape and topology of structures that maximize a natural frequency is presented. The methodology is based on a homogenization method and the representation of the shape of the structure as a material property. The problem is formulated as a reinforcement problem in which a given structure is reinforced using a prescribed amount of material. Two dimensional, plane elasticity problems are considered. Examples are presented for illustration.

Additional Material: 16 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620350707

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