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An unconditionally stable implicit time integration algorithm: Modified quartic B-spline method
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DOI：10.1016/j.compstruc.2015.02.030.png)
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In Ref. [1] an effective conditionally stable explicit time integration scheme using quartic B-spline function was proposed for solving the problems in structural dynamics. The current paper presents a scheme where this method is developed to an implicit unconditionally stable time integration method. Using quartic B-spline basis function, this method gained second order of acceleration at each time-step. In this research, in order to applying the stabilization process, first, a series of implicit standard formulas were derived from previous formulation. Then after inserting two controlling parameters gamma and beta in the standard formulas, unconditional stability is guaranteed. (C) 2015 Elsevier Ltd. All rights reserved.
Keyword:
Quartic B-spline
Time integration
Implicit
Second order acceleration
Unconditional stability
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