Semi-Analytical Infinite Element for Soil-Structure Interaction

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Project title

Code/計畫編號

NSC88-2211-E019-004

Translated Name/計畫中文名

半解析無限元素在土壤結構互制的應用

Project Coordinator/計畫主持人

Shyh-Rong Kuo

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Harbor and River Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=463284

Year

1999

Start date/計畫起

01-08-1998

Expected Completion/計畫迄

01-07-1999

Bugetid/研究經費

189千元

ResearchField/研究領域

水土資源保育

本研究計畫是結合有限元素及無限元素,分析土壤結構互制作用的半無限域問題。其中結構物及其附近的土壤部分,稱為近域,可用傳統有限元素模擬。而其他包含無窮遠的區域則稱為遠域,本研究計畫以無限元素模擬。文獻上所提出的無限元素需對整個遠域(半無限域)積分,才可求得勁度矩陣,其模擬效果及運算效率較差。 Trefftz Method於1926年提出,此法是採用滿足控制方程式的解做為基底函數,具有良好的精確性及收斂性。但是其對應基底函數的係數,並無明確的物理性質,因此無法直接與有限元素結合。本研究計畫結合Trefftz method及有限元素混合法的原理,提出一個半解析無限元素,此元素的內插函數滿足控制方程式,使得遠域能量式,只含邊界項積分,則僅需對邊界積分,即可求得一對稱的無限元素勁度矩陣,使得矩陣易於處理,並提高精確性及運算效率。 This study on soil-structure interaction problem of half space using finite element and infinite element is presented. The region near the structure (near field) can be modelled by the conventional finite element, and the outer area (far field), which is half space, can be simulated by the infinite element. In conventional researches, the stiffness matrix was obtained only by integrating the whole field by the infinite element but the results were not good. In this project, a new method, combining the theories of Trefftz method and finite element hybrid method, called semi-analytical infinite element, is introduced. Using the base function of the semi-analytical infinite element, a governing equation could be satisfied, and only boundary term remains from the far field energy functional. We can derive a symmetrical infinite element stiffness matrix only by integrating the boundary term, and then matrix manipulation will be accessible and the result of modelling far field will be more successful.

Keyword(s)

土壤結構互制
有限元素混合法
無限元素
遠域
Soil structure interaction
Finite element hybrid method
Infinite element
Far field

DSpace CRIS

Semi-Analytical Infinite Element for Soil-Structure Interaction

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