Stability of average acceleration method for structures with nonlinear damping |
| |
Authors: | Yan Li Ph.D. Student Bin Wu Jinping Ou |
| |
Affiliation: | School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China |
| |
Abstract: | 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. |
| |
Keywords: | unconditional stability average acceleration method nonlinear systems nonlinear damping |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |