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顯式有限元?jiǎng)偠茸枘釋?duì)穩(wěn)定時(shí)間步長的影響*
萬福磊, 李云貴
摘 要

    萬福磊,  李云貴
    (中國建筑科學(xué)研究院,北京 100013)

[摘要] 顯式有限元可以不生成單元?jiǎng)偠染仃?,因而無法采用剛度矩陣計(jì)算剛度阻尼。參照隱式有限元?jiǎng)偠茸枘岬纳煞椒?,并考慮顯式有限元的計(jì)算原理,研究了通過材料本構(gòu)實(shí)現(xiàn)剛度阻尼的方法和程序計(jì)算流程;進(jìn)而針對(duì)三維梁元研究了剛度阻尼系數(shù)對(duì)穩(wěn)定時(shí)間步長的影響規(guī)律,確定了折減系數(shù)與阻尼系數(shù)和單元特征長度的對(duì)應(yīng)關(guān)系。數(shù)值計(jì)算表明,剛度阻尼嚴(yán)重降低穩(wěn)定時(shí)間步長,對(duì)于結(jié)構(gòu)顯式動(dòng)力分析不建議采用剛度阻尼,在需要考慮阻尼影響時(shí)建議采用質(zhì)量阻尼。
[關(guān)鍵字] 剛度阻尼;穩(wěn)定時(shí)間步長;顯式有限元;三維梁元
中圖分類號(hào):TU311.3  文獻(xiàn)標(biāo)識(shí)碼:A  文章編號(hào):1002-848X(2011) Sl-0256-04

Implementation of stiffness damp of explicit frnite element method and its influence to the stability time step length
   
Wan Fulei, Li Yungui
    ( China Academy of Building Research,  Beijing 100013,  China)

Abstract: Due to the explicit finite element procedure needn't form the element stiffness matrix, the stiffness damp can not be determined by the stiffness matrix. Considering the implementation method of implicit finite element stiffness damp,a stress stiffness damp was realized in the explicit dynanuc analysis. The influence rule of stiffness damp to the stability time step was studied through a three dimensional beam dynamic analysis. The numerical result shows that the stiffness coefficient will reduce the stability time step length greatly. So the application of the stiffness damp coefficient is not suggested in the explicit dynamic analysis. The mass damp coefficient is suggested when the damp should be considered.
Keywords: stiffness damp; stability time step length; explicit firute element; three-dimensional beam element

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