日本語フィールド
著者：Erjon Krasniqi, Shuhei Yamashita and Hiroyuki Obiya題名：Study on energy conservation in dynamic ultra-large deformation analysis of plane frame
structures発表情報：Proceedings of the International Conference on
Computational Methods 巻: Vol. 9 ページ: 123-130キーワード：概要：抄録：To analyze the time history response of flexible structures, it’s required an algorithm with high
accuracy to reproduce the geometrical nonlinear behavior. In order to check the accuracy of
dynamic analyses, the conservation of energy or momentum under undamped conditions may
be an important indicator. On the other hand, for ultra-large deformation analysis, the tangent
stiffness method (TSM) has already enough achievement with strict evaluation of the rigid body
displacement. As a time-integration algorithm applied to dynamic analysis is used Newmark β,
which is unconditionally stable over time in the case of linear analysis under the condition of
β=1/4. In this study, the combination of TSM and Newmark β is examined, and the conservation
of energy through some numerical examples is verified. This study reveals that applying β>1/4
in the case of ultra-large deformations, longer duration of energy conservation is obtained. Also,
when β=1/2 is applied, rough time increment leads to lower level of numerical damping
compared to fine time increment, which is convenient for computational efficiency.英語フィールド
Author：Erjon Krasniqi, Shuhei Yamashita and Hiroyuki ObiyaTitle：Study on energy conservation in dynamic ultra-large deformation analysis of plane frame
structuresAnnouncement information:Proceedings of the International Conference on
Computational Methods Vol: Vol. 9 Page: 123-130An abstract：To analyze the time history response of flexible structures, it’s required an algorithm with high
accuracy to reproduce the geometrical nonlinear behavior. In order to check the accuracy of
dynamic analyses, the conservation of energy or momentum under undamped conditions may
be an important indicator. On the other hand, for ultra-large deformation analysis, the tangent
stiffness method (TSM) has already enough achievement with strict evaluation of the rigid body
displacement. As a time-integration algorithm applied to dynamic analysis is used Newmark β,
which is unconditionally stable over time in the case of linear analysis under the condition of
β=1/4. In this study, the combination of TSM and Newmark β is examined, and the conservation
of energy through some numerical examples is verified. This study reveals that applying β>1/4
in the case of ultra-large deformations, longer duration of energy conservation is obtained. Also,
when β=1/2 is applied, rough time increment leads to lower level of numerical damping
compared to fine time increment, which is convenient for computational efficiency.