In this study, a new unconditionally stable time integration is proposed for solving the differential equation of motion. Due to increase in order of variations of acceleration, proposed method has higher accuracy than classical methods. Two variable parameters are used to increase the stability and accuracy of the method. The proposed method is second order accurate and also it includes methods with numerical dissipation which can be used to filter the high undesirable frequencies. Moreover in the proposed method, equation of motion is exactly satisfied at the beginning and at the end of the time step.
Ghassemieh, M., & Karimi-Rad, M. (2011). A Parabolic Acceleration Time Integration for Dynamic Problems. Journal of Civil and Surveying Engineering, 45(1), 35-43.
MLA
Mehdi Ghassemieh; Mehdi Karimi-Rad. "A Parabolic Acceleration Time Integration for Dynamic Problems", Journal of Civil and Surveying Engineering, 45, 1, 2011, 35-43.
HARVARD
Ghassemieh, M., Karimi-Rad, M. (2011). 'A Parabolic Acceleration Time Integration for Dynamic Problems', Journal of Civil and Surveying Engineering, 45(1), pp. 35-43.
VANCOUVER
Ghassemieh, M., Karimi-Rad, M. A Parabolic Acceleration Time Integration for Dynamic Problems. Journal of Civil and Surveying Engineering, 2011; 45(1): 35-43.
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