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Dynamic stability analysis of frame systems by application of the finite element method.

機(jī)譯：框架系統(tǒng)動(dòng)力穩(wěn)定性分析的有限元方法。

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摘要

Dynamic instability occurs when a structural system's displacements increase unboundedly with time. In this research, dynamic stability of frame systems subjected to multiple axial periodic forces is investigated. Under action of such loads, a frame system may experience lateral dynamic instability with application of additional minor lateral disturbances. Instability occurs when the frequency of the exciting force is equal to approximately twice the natural frequency of the system. Investigation of this condition involves determining regions of applied load-frequency pairs for which a frame responds in a dynamically unstable fashion. In this paper, the Finite Element Method is used to locate these regions. Direct numerical integration is performed to calculate dynamic responses of a frame system for both cases of dynamic stable and unstable conditions using the Newmark-β method along with the Hilber-Hughes-Taylor modification.; Numerical examples are used to compare results obtained by the methods of this study with theoretical solutions. Comparisons indicate that the techniques used give satisfactorily accurate results. Examples of dynamic stability analysis included are for a simply supported column, portal frame and multistory frame all under periodic axial loads, with different lateral disturbances such as imposed displacement, dynamic lateral force, and ground movement. Results indicate that dynamic axial loads have a strong influence on dynamic response of a frame system when compared with the respective system without dynamic axial loads.
機(jī)譯：當(dāng)結(jié)構(gòu)系統(tǒng)的位移隨時(shí)間無限增加時(shí)，就會(huì)發(fā)生動(dòng)態(tài)不穩(wěn)定性。在這項(xiàng)研究中，研究了承受多個(gè)軸向周期性力的框架系統(tǒng)的動(dòng)態(tài)穩(wěn)定性。在這樣的載荷作用下，框架系統(tǒng)可能會(huì)受到附加的較小橫向干擾的影響而產(chǎn)生橫向動(dòng)態(tài)不穩(wěn)定性。當(dāng)激振力的頻率大約等于系統(tǒng)固有頻率的兩倍時(shí)，就會(huì)發(fā)生不穩(wěn)定性。對這種情況的研究涉及確定幀以動(dòng)態(tài)不穩(wěn)定方式響應(yīng)的所施加的負(fù)載頻率對的區(qū)域。在本文中，使用有限元方法來定位這些區(qū)域。使用Newmark-β方法以及Hilber-Hughes-Taylor修改，可以進(jìn)行直接數(shù)值積分以計(jì)算框架系統(tǒng)在動(dòng)態(tài)穩(wěn)定和不穩(wěn)定情況下的動(dòng)態(tài)響應(yīng)。數(shù)值例子用來比較本研究方法與理論解所獲得的結(jié)果。比較表明，所使用的技術(shù)可提供令人滿意的準(zhǔn)確結(jié)果。包括的動(dòng)態(tài)穩(wěn)定性分析示例包括在周期性軸向載荷下的簡單支撐柱，門架和多層框架，它們具有不同的橫向干擾，例如施加的位移，動(dòng)態(tài)橫向力和地面運(yùn)動(dòng)。結(jié)果表明，與沒有動(dòng)態(tài)軸向載荷的各個(gè)系統(tǒng)相比，動(dòng)態(tài)軸向載荷對框架系統(tǒng)的動(dòng)力響應(yīng)具有很大的影響。

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  • 作者

    Liu, Dongfa.;

  • 作者單位

    University of Louisville.;

  • 授予單位 University of Louisville.;
  • 學(xué)科 Engineering Civil.; Applied Mechanics.
  • 學(xué)位 Ph.D.
  • 年度 2001
  • 頁碼 142 p.
  • 總頁數(shù) 142
  • 原文格式 PDF
  • 正文語種 eng
  • 中圖分類 建筑科學(xué);應(yīng)用力學(xué);
  • 關(guān)鍵詞

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