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A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
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1993
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Numerical AnalysisEngineeringMechanical EngineeringNumerical DissipationComputational MechanicsStructural EngineeringNumerical ComputationGeneralized-α MethodNumerical SimulationBoundary Element MethodMethod Of Fundamental SolutionImproved Numerical DissipationTime Integration AlgorithmTime Integration AlgorithmsNumerical Method For Partial Differential EquationFinite Element MethodNew FamilyStructural MechanicsNumerical MethodsVibration Control
The paper introduces a new family of time‑integration algorithms for structural dynamics. The generalized‑α method offers user‑controlled numerical dissipation and can be easily incorporated into existing Newmark and Hilber‑Hughes‑Taylor‑α codes. It achieves high‑frequency dissipation while minimizing low‑frequency loss, outperforming other numerically dissipative integrators.
A new family of time integration algorithms is presented for solving structural dynamics problems. The new method, denoted as the generalized-α method, possesses numerical dissipation that can be controlled by the user. In particular, it is shown that the generalized-α method achieves high-frequency dissipation while minimizing unwanted low-frequency dissipation. Comparisons are given of the generalized-α method with other numerically dissipative time integration methods; these results highlight the improved performance of the new algorithm. The new algorithm can be easily implemented into programs that already include the Newmark and Hilber-Hughes-Taylor-α time integration methods.