Comparative study on explicit integration algorithms for structural dynamics

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2022-8

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Çakır, Dilara

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Conventional explicit integration algorithms used to solve structural dynamic problems may require too small time increments to satisfy the stability requirements in the presence of high-frequency modes. The requirement to have a too small time increment can cause extending the solution time above the tolerable limit. In this study, three different explicit integration algorithms found in the literature are compared in terms of stability, accuracy, and run-time. The examined integration methods are a two-step integration algorithm, a mass scaling method, and an unconditionally stable explicit algorithm. The performance of each algorithm has been discussed by implementing them in MATLAB and solving various structural dynamic problems. Obtained results are then compared with the solutions of Newmark’s explicit integration algorithm, which is considered the reference solution method.

Subject Keywords

Explicit integration algorithms, Structural dynamics, Time history analysis

URI

https://hdl.handle.net/11511/99448

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

D. Çakır, “Comparative study on explicit integration algorithms for structural dynamics,” M.S. - Master of Science, Middle East Technical University, 2022.