Papers by Keyword: Dynamic Fundamental Solution

Abstract: An analytical method of single field reducing-coupling on dynamic modeling is presented to analyze dynamic behaviors of thin plate structure based on dynamic fundamental solutions. In order to improve systematic modeling precision and efficiency, the method of single field reducing-coupling is introduced to deduce governing equations of thin plate structure dynamics by dynamic boundary element method (DBEM). The scale of matrix and generated time of coefficient matrixes are shortened greatly and dynamic behaviors of thin plate structure is obtained rapidly and accurately. The numerical examples and experiments show that the theory, established method and calculating program are feasible, and it has good precision and high efficiency.

Abstract: This study performs dynamic analysis of underground structures on multi-layered half planes in frequency domain by using the coupled finite and boundary element method. The near field including underground structures is modeled with onventional finite elements, while the far field is modeled with boundary elements which satisfies radiation conditions. In evaluating the dynamic fundamental solutions, semi-analytical solutions due to line loads are employed. Therefore, the range of wavenumber integration can be reduced significantly. These solutions satisfy the reflection and transmission conditions of waves at each layer interface, so that the multi-region problem can be analyzed. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed method.