Analysis of absolute displacement direct solving pseudo excitation method based on additional mode decomposition
LI Yong-hua1, Gui Guo-qing2,1, Liao Yu1,
1.School of Architecture and Civil Engineering, Nanchang University, Nanchang 330031, China;
2. School of Architecture and Civil Engineering, Jinggangshan University, Ji’an 343009, China
Abstract： The structures were solved by mode decomposition with additional mode by adding big mass in support nodes, in order to improve the calculation accuracy and efficiency of last pseudo excitation method based on solving absolute displacement. The additional modes are caused by adding big mass. The contribution and characterizes of additional and normal modes and calculation efficiency of new algorithm were analyzed. It is shown that only few additional modes can capture pseudo-static displacement response accurately, and adopting same numbers normal modes with relative motion method can capture same accurate dynamic relative displacement response. Compared with displacement input model presented by Wilson, the method can result in a significant savings in combination mode numbers in the same accuracy. The calculation errors caused by damping assuming difference don’t exist in the new algorithm, which is superior to old pseudo excitation method based on solving absolute displacement in accuracy and efficiency.
李永华1，桂国庆2,1，廖宇 1. 绝对位移直接求解虚拟激励法采用附加振型求解的理论研究[J]. 振动与冲击, 2015, 34(8): 12-19.
LI Yong-hua1, Gui Guo-qing2,1, Liao Yu1,. Analysis of absolute displacement direct solving pseudo excitation method based on additional mode decomposition. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(8): 12-19.
