Abstract
An efficient and accurate algorithm is developed to eva luate the reliability of a steel frame and reinforced concrete shear wall structural system subjected to static loading. In a companion paper, the algorithm is extended to consider dynamic loading, including seismic loading. The concept integrates the finite-element method and the first-order reliability method, leading to a stochastic finite element-based approach.
In the deterministic finite-element representation, the steel frame is represented by beam-column elements and the shear walls are represented by plate elements. The stiffness matrix for the combined system is then developed. The deterministic finite-element algorithm is verified using a commercially available computer program. The deterministic algorithm is then extended to consider the uncertainty in the random variables. The reliability of a steel frame with and without the presence of reinforced concrete shear walls is eva luated for the strength and serviceability performance functions. The results are verified using Monte Carlo simulations. The algorithm quantitatively confirms the beneficial effect of shear walls, particularly when the steel frame is weak in satisfying the serviceability requirement of lateral deflection. The algorithm can be used to estimate the reliability of any complicated structural system consisting of different structural elements and materials when subjected to static loading. The procedure will be useful in the performance-based design guidelines under development by the profession.
Keywords: Limit states; Simulation; Shear walls; Static loads; Steel frames; Finite element method.
摘要
一種新的精確有效的計(jì)算方法已經(jīng)被發(fā)現(xiàn)用來評(píng)價(jià)鋼筋混凝土框架剪力墻結(jié)構(gòu)在受到靜荷載作用時(shí)的可靠性。在一位同僚的論文中，這種方法已經(jīng)被用來計(jì)算包括地震在內(nèi)的動(dòng)荷載。它將有限元和第一可靠性原則結(jié)合起來，產(chǎn)生了一種基于有限隨機(jī)的要素的方法。
在這種確定性的有限元表示法中，鋼框架體系由梁柱結(jié)構(gòu)體系表現(xiàn)出而剪力墻結(jié)構(gòu)由板體系表現(xiàn)出來，組合在一起的體系的剛度矩陣就形成了。這種確定性的有限元方法可以用計(jì)算機(jī)程序來檢驗(yàn)。它可以被延用于考慮隨機(jī)情況下的不確定因素。是否有剪力墻加固工事的鋼框架的可靠性被用來確定在結(jié)構(gòu)在發(fā)揮作用時(shí)的強(qiáng)度和適用性。這種方法在數(shù)字上體現(xiàn)出對(duì)剪力墻的正面效果，特別是在側(cè)向偏差令人滿意而框架性能很弱的時(shí)候。它可以用于對(duì)受靜荷載作用的任何材料和結(jié)構(gòu)形式的復(fù)雜結(jié)構(gòu)的可靠性的評(píng)估。職業(yè)一點(diǎn)來說，這種方法對(duì)于指導(dǎo)尚欠發(fā)展的設(shè)計(jì)工作是很有用的。
關(guān)鍵詞：極限狀態(tài) 模擬 剪力墻 靜荷載 鋼框架 有限元
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