Time Integration Method Based on Discrete Transfer Function
2016 ◽
Vol 16
(05)
◽
pp. 1550009
◽
Keyword(s):
Complex structural dynamic problems are normally analyzed by finite element and numerical integration techniques. An explicit time integration algorithm with second-order accuracy and unconditional stability is presented for dynamic analysis. Utilizing weighted factors, the current displacement and velocity relations are defined in terms of the accelerations of two previous time steps. The concept of discrete transfer function and the pole mapping rule from the control theory are exploited to develop the new algorithm. Several linear and nonlinear dynamic analyses are performed to verify the efficiency of the method compared with the well-known Newmark method.
2018 ◽
Vol 17
(3)
◽
pp. 595-606
◽
2015 ◽
Vol 2015
◽
pp. 1-11
◽
2022 ◽
Vol 91
◽
pp. 104407
2003 ◽
Vol 81
(6)
◽
pp. 349-357
◽