2004•Journal of Tsinghua University(Science and Technology)Requires access

Precise direct integration method for random vibration analysis of arch dams

Feng Jin

Abstract

A new method was developed to analyze arch dam- foundation system that combines pseudo excitation with the finite element-boundary element-infinite boundary element coupled model. The pseudo excitation characteristics were used to formulate new integration equations. An example using the Wilson-θ formula, a precise integration Cotes formula and a precise integration oscillating function integration formula illustrated the high efficiency and accuracy of the precise direct integration method. The results show that the precise direct integration method can increase the calculating step length and the calculating efficiency is up to 30-40 times. The precise integration oscillation function formula is more efficient than the precise integration Cotes formula.

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Key concepts: Direct integration of a beam, Arch, Numerical integration, Finite element method, Boundary (topology), Vibration, Time delay and integration, Boundary element method