Structural Response Statistics by Boundary Elements

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by R. Ghanem, Rice Univ, Houston, United States,
P. D. Spanos, Rice Univ, Houston, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond:

Abstract: In this paper a boundary element method for problems of random vibration of continuous structures is presented. The method reduces the effect of the mesh size on the accuracy of the results. It is exemplified by analyzing a beam continuous over multiple supports and excited by a spatially correlated stationary random excitation. For this problem, the boundary of the domain is a discrete set of points and no further discretization is required. Thus, the exact solution can be obtained. In addition, the efficiency gained by implementing the Karhunen-Loeve (Masri and Miller, 1982; Ghanem and Spanos, 1990) expansion into the solution process for this class of problems is demonstrated.

Subject Headings: Boundary element method | Continuous structures | Vibration | Continuous beams | Mesh generation | Spatial analysis | Excitation (physics) |

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