SCIENCE CHINA Technological Sciences, Volume 62 , Issue 5 : 856-867(2019) https://doi.org/10.1007/s11431-017-9279-1

Comparison study of two criteria for identification of structural dynamic stability

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  • ReceivedOct 23, 2017
  • AcceptedApr 14, 2018
  • PublishedAug 22, 2018


Dynamic stability analyses of structures are becoming increasing prevalent in applications for tall buildings and space structure designs. This paper presents an effective energy criterion for identifying the dynamic stability of generalized structures through the modification of an earlier developed energy criterion for hardening structures. Two time-varying effective energy indices are introduced to account for the dynamic stability of both the hardening and deteriorating structures; one for the description of structural properties, i.e., the structural effective intrinsic energy, and the other for the measurement of the input energy, i.e., the valid external work. It is shown that a structure’s stability can survive provided the effective intrinsic energy is always less than the valid external work during a dynamic excitation. The first passage of the effective intrinsic energy over the valid external work indicates the dynamic instability of the structure. A comparison study is carried out regarding the validity and applicability between the energy and effective energy criteria as applied to the dynamic stability analysis of three different structures.

Funded by

the National Natural Science Foundation of China(Grant,Nos.,51261120374,51538010)


This work was supported by the National Natural Science Foundation of China (Grant Nos. 51261120374 and 51538010).


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