Abstract：The implicit dissipative HHT- method is analyzed using discrete control theory, a one-parameter family of explicit structural dynamics algorithms with controllable numerical energy dissipation, referred to as the explicit HHT- method, is developed for linear and nonlinear structural dynamic numerical analysis applications. New algorithm adopts the recursive formula of velocity and displacement of explicit algorithm. Accuracy stability, numerical dispersion, and energy dissipation characteristics of the proposed algorithms are studied. It is shown that the algorithms are unconditionally stable for linear elastic and stiffness softening-type nonlinear systems. The amount of numerical damping is controlled by a single parameter, for a specific value of this parameter, the resulting algorithm is shown to produce no numerical energy dissipation. It is further shown that the numerical dispersion and energy dissipation characteristics of the proposed explicit algorithms are the same as that of the implicit HHT- method. A numerical example is presented to verify the correctness of theoretical analysis.
郭豪鑫1，吴春利2. 一族无条件稳定的显式结构动力学算法[J]. 振动与冲击, 2020, 39(12): 48-56.
GUO Haoxin1，WU Chunli2. A family of unconditionally stable explicit algorithms for structural dynamics. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(12): 48-56.
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