Title of article :
A one-parameter controlled dissipative unconditionally stable explicit algorithm for time history analysis
Author/Authors :
chang, s.-y. national taipei university of technology (ntut) - department of civil engineering, Taipei, China , tran, n.-c. national taipei university of technology (ntut) - department of civil engineering, Taipei, China , wu, t.-h. national taipei university of technology (ntut) - department of civil engineering, Taipei, China , yang, y.-s. national taipei university of technology (ntut) - department of civil engineering, Taipei, China
Abstract :
A new family of one-step integration methods is presented herein. A free parameter is used to control the numerical properties and it can be considered as an indicator of numerical dissipation for the high-frequency modes. This family of methods can have unconditional stability, explicit formulation, and desired numerical damping, which implies that the low-frequency modes can be accurately integrated while the spurious growth of high-frequency modes can be suppressed or even eliminated. In addition, a zero damping ratio can be achieved. Since the unconditional stability and explicit formulation are integrated for the proposed method family, it can drastically reduce the computational efforts when compared with the traditional integration methods.
Keywords :
Unconditional stability , Numerical dissipation , Explicit method , Nonlinear dynamic analysis , Accuracy , Structure , dependent integration method
Journal title :
Scientia Iranica(Transactions A: Civil Engineering)
Journal title :
Scientia Iranica(Transactions A: Civil Engineering)