Stability of average acceleration method for structures with nonlinear damping

The energy approach is used to theoretically verify that the average acceleration method （AAM）, which is unconditionally stable for linear dynamic systems, is also unconditionally stable for structures with typical nonlinear damping, including the special case of velocity power type damping with a b...

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Bibliographic Details
Published inEarthquake Engineering and Engineering Vibration Vol. 5; no. 1; pp. 87 - 92
Main Author 李妍 吴斌 欧进萍
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.06.2006
School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China
Subjects
Acceleration
Damping
Seismic engineering
Theoretical analysis
加速度
数值模拟
稳定性
非线性阻尼
nonlinear systems
average acceleration method
nonlinear damping
unconditional stability
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Summary:The energy approach is used to theoretically verify that the average acceleration method （AAM）, which is unconditionally stable for linear dynamic systems, is also unconditionally stable for structures with typical nonlinear damping, including the special case of velocity power type damping with a bilinear restoring force model. Based on the energy approach, the stability of the AAM is proven for SDOF structures using the mathematical features of the velocity power function and for MDOF structures by applying the virtual displacement theorem. Finally, numerical examples are given to demonstrate the accuracy of the theoretical analysis.
Bibliography:nonlinear systems
average acceleration method
P315
unconditional stability
unconditional stability; average acceleration method; nonlinear systems; nonlinear damping
nonlinear damping
23-1496/P
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1671-3664
1993-503X
DOI:10.1007/s11803-006-0588-z