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Minimum weight design of structures with random parameters

Affiliation:	1. Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences Climate Dynamics and Landscape Evolution, Potsdam, Germany;2. University of Arizona, Laboratory of Tree-Ring Research, 1215 E Lowell St, Tucson, AZ 85721 USA;3. Scientific Department of the Head Office, Deutsches Archäologisches Institut, Berlin, Germany;4. Dep. of Environmental Resources and Geohazard, Institute of Geography, Polish Academy of Sciences, Torun, Poland;5. Forest Research Centre, Instituto Nacional de Investigación y Tecnología Agrariay y Alimentaria (INIA-CIFOR), 28040 Madrid, Spain;6. Humboldt University Berlin, Geography Department, Berlin, Germany

Abstract:	A general formulation of the minimum-weight optimization problem is presented in the paper. Formulation of the problem is based on the concept of the expected value. Solution of the corresponding mathematical programming problem has been obtained by means of indirect method. To evaluate the magnitude of the influence of random character of the structure parameters two numerical examples concerning plane truss and free vibrating plane strain structure are presented.

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