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Improved time integration for pseudodynamic tests
Author(s) -
Chang ShuennYih,
Tsai KehChyuan,
Chen KuanChou
Publication year - 1998
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199807)27:7<711::aid-eqe753>3.0.co;2-6
Subject(s) - newmark beta method , linearization , direct integration of a beam , numerical integration , dynamic testing , algorithm , mathematics , computer science , structural engineering , engineering , mathematical analysis , nonlinear system , finite element method , physics , quantum mechanics
Converting the second‐order differential equation to a first‐order equation by integrating it with respect to time once as the governing equation of motion for a structural system can be very promising in the pseudodynamic testing. This was originally found and developed by Chang. The application of this time‐integration technique to the Newmark explicit method is implimented and investigated in this paper. The main advantages of using the integral form of Newmark explicit method instead of the commonly used Newmark explicit method in a pseudodynamic test are: a less‐error propagation effect, a better capability in capturing the rapid changes of dynamic loading and in eliminating the adverse linearization errors. All these improvements have been verified by theoretical studies and experimental tests. Consequently, for a same time step this time‐integration technique may result in less‐error propagation and achieve more accurate test results than applying the original form of Newmark explicit method in a pseudodynamic test due to these significant improvements. Thus, the incorporation of this proposed time‐integration technique into the direct integration method for pseudodynamic testings is strongly recommended. © 1998 John Wiley & Sons, Ltd.