There is no second-order accurate, dissipative, explicit method in the currently available step-by-step integration algorithms. Two new families of second-order accurate, dissipative, explicit methods have been successfully developed for the direct integration of equations of motion in structural dy
Improved time integration for pseudodynamic tests
β Scribed by Chang, Shuenn-Yih; Tsai, Keh-Chyuan; Chen, Kuan-Chou
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 258 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0098-8847
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β¦ Synopsis
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.
π SIMILAR VOLUMES
Several modifications to the widely used time integration scheme of Gresho er a/. ' are suggested. The advantages of the modified time integrator are demonstrated by means of several simple example problems.
This paper describes a modal weighting technique that improves the stability characteristics of explicit time-integration schemes used in structural dynamics. The central difference method was chosen as the trial algorithm because of its simplicity, both in terms of formulation and ease of numerical