教師資料查詢 | 類別: 會議論文 | 教師: 姚忠達 Jong-dar Yau (瀏覽個人網頁)

標題:Application of Iterative Momentum-Time Element to Nonlinear Dynamics
學年102
學期2
發表日期2014/04/23
作品名稱Application of Iterative Momentum-Time Element to Nonlinear Dynamics
作品名稱(其他語言)
著者YAU, J.D.; Kuo, Shyh-Rong
作品所屬單位淡江大學建築學系
出版者
會議名稱16th International Conference on
MATHEMATICAL and COMPUTATIONAL METHODS in SCIENCE and ENGINEERING (MACMESE '14)
會議地點Kuala Lumpur, Malaysia
摘要The objective of this study is to present an iterative momentum-time element for nonlinear dynamic analysis of structures. Based on the temporal discretization of time finite element approximation and the principle of momentum, the momentum-time element was developed. Since the moment-time element has an accuracy of fourth order, large time steps are allowed to compute dynamic response of nonlinear dynamic systems using the present algorithm. On the other hand, this technique requires only displacements and velocities to be made available at the start of the current time step for integration in state space, the errors caused by estimation of acceleration by previous finite-difference methods are circumvented. Moreover, using the momentum principle can smooth out the load discontinuity in a time interval so that the proposed momentum-time element is available to the problem of discontinuity caused by impulsive loads. To resolve the nonlinear dynamic system, an iterative procedure is included in the momentum-time element for each time step, involving the three phases of predictor, corrector, and error-checking. The effectiveness and robustness of the proposed algorithm in solving nonlinear dynamic problems is demonstrated in the numerical examples.
關鍵字
語言英文
收錄於
會議性質
校內研討會地點
研討會時間20140423~20140425
通訊作者
國別馬來西亞
公開徵稿
出版型式
出處
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